Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
From MaRDI portal
Publication:1431977
DOI10.1016/S0893-9659(03)90096-6zbMath1063.34044OpenAlexW2030453979WikidataQ115564144 ScholiaQ115564144MaRDI QIDQ1431977
M. Daher Okiye, Moulay Aziz-Alaoui
Publication date: 11 June 2004
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0893-9659(03)90096-6
Population dynamics (general) (92D25) Growth and boundedness of solutions to ordinary differential equations (34C11) Global stability of solutions to ordinary differential equations (34D23)
Related Items
Michaelis-Menten-type prey harvesting in discrete modified Leslie-Gower predator-prey model, A free boundary problem of some modified Leslie-gower predator-prey model with nonlocal diffusion term, Existence and stability of traveling waves for Leslie-Gower predator-prey system with nonlocal diffusion, Dynamics of a diffusive predator-prey model with modified Leslie-Gower and Holling-type III schemes, Dynamics analysis of stochastic modified Leslie-Gower model with time-delay and Michaelis-Menten type prey harvest, Modeling the interaction of birds and small fish in a coastal lagoon, Degenerate transcritical bifurcation point can be an attractor: a case study in a slow-fast modified Leslie-Gower model, Seasonal influences on a prey-predator model, Bifurcations in a modified Leslie-Gower predator-prey discrete model with Michaelis-Menten prey harvesting, Global asymptotical stability for a diffusive predator-prey system with Beddington-DeAngelis functional response and nonlocal delay, Bifurcation analysis and chaos control in discrete-time modified Leslie-Gower prey harvesting model, Dynamics of a ratio-dependent Leslie-Gower predator-prey model with Allee effect and fear effect, Extinction time of a stochastic predator-prey model by the generalized cell mapping method, Dynamical analysis of a delayed ratio-dependent Holling-Tanner predator-prey model, Detection and computation of high codimension bifurcations in diffuse predator-prey systems, Bifurcations and multistability on the May-Holling-Tanner predation model considering alternative food for the predators, Fear effect in prey and hunting cooperation among predators in a Leslie-Gower model, Threshold dynamics of a reaction-diffusion-advection Leslie-Gower predator-prey system, Analysis of a stochastic predator-prey system with modified Leslie-Gower and Holling-type IV schemes, The dynamics of a Leslie type predator-prey model with fear and Allee effect, Effects of boundary conditions on pattern formation in a nonlocal prey-predator model, Dynamics of a Leslie-Gower predator-prey model with Holling type II functional response, Allee effect and a generalist predator, Dynamics in a diffusive modified Leslie-Gower predator-prey model with time delay and prey harvesting, A note on a stochastic Holling-II predator-prey model with a prey refuge, Predator-prey pattern formation driven by population diffusion based on Moore neighborhood structure, Periodic solution for a stochastic non-autonomous predator-prey model with Holling II functional response, Bifurcation analysis of a modified May-Holling-Tanner predator-prey model with Allee effect, Global analysis of a delayed density dependent predator-prey model with Crowley-Martin functional response, Food web complexity analysis: effects of ecosystem changes, Survivability and stochastic bifurcations for a stochastic Holling type II predator-prey model, Dynamical analysis and chaos control in discrete-time prey-predator model, Relaxation oscillations and dynamical properties in two time-delay slow-fast modified Leslie-Gower models, Dynamics of a diffusive Leslie-Gower predator-prey model in spatially heterogeneous environment, Study of a Leslie-Gower predator-prey model with prey defense and mutual interference of predators, Positive solutions of a diffusive Leslie-Gower predator-prey model with Bazykin functional response, Global stability of a delayed diffusive predator-prey model with prey harvesting of Michaelis-Menten type, Bifurcation analysis of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and strong Allee effect, Point to point traveling wave and periodic traveling wave induced by Hopf bifurcation for a diffusive predator-prey system, Long-time behavior of a nonautonomous stochastic predator-prey model with jumps, Persistence and global stability in a delayed Leslie-Gower type three species food chain, Analysis of stochastic predator-prey model with disease in the prey and Holling type II functional response, Dynamic behaviors of the periodic predator-prey model with modified Leslie-Gower Holling-type II schemes and impulsive effect, A predator-prey model with different response functions to juvenile and adult prey in deterministic and stochastic environments, An impulsive predator-prey system with modified Leslie-Gower and Holling type II schemes, Positive solutions for a modified Leslie-Gower prey-predator model with Crowley-Martin functional responses, The existence, bifurcation and stability of positive stationary solutions of a diffusive Leslie-Gower predator-prey model with Holling-type II functional responses, Steady-state bifurcation and Hopf bifurcation for a diffusive Leslie-Gower predator-prey model, Steady-states of a Leslie-Gower model with diffusion and advection, Dynamics of an ecological system, Pattern formation in predator-prey model with delay and cross diffusion, Nonlinear state-dependent feedback control of a pest-natural enemy system, Turing patterns in a diffusive Holling-Tanner predator-prey model with an alternative food source for the predator, A modified May-Holling-Tanner predator-prey model with multiple allee effects on the prey and an alternative food source for the predator, Qualitative analysis of a three-species reaction-diffusion model with modified Leslie-Gower scheme, Stabilization of modified Leslie-Gower prey-predator model, Dynamical complexity induced by Allee effect in a predator-prey model, Global dynamics of a modified Leslie-Gower predator-prey model with Crowley-Martin functional responses, Hopf bifurcation in a predator-prey system with Holling type III functional response and time delays, Dynamics analysis of a reaction-diffusion system with Beddington-DeAngelis functional response and strong Allee effect, Chaos in delay-induced Leslie-Gower prey-predator-parasite model and its control through prey harvesting, Nonlinear oscillations in the modified Leslie-Gower model, Strategies for the existence of spatial patterns in predator-prey communities generated by cross-diffusion, On a diffusive predator-prey model with nonlinear harvesting, Stability and dynamics of a fractional order Leslie-Gower prey-predator model, The effects of harvesting on the dynamics of a Leslie-Gower model, Bifurcation and control of an eco-epidemiological system with environmental fluctuations: a stochastic approach, Global dynamics of non-smooth Filippov pest-natural enemy system with constant releasing rate, Dynamics of a modified Leslie-Gower predation model considering a generalist predator and the hyperbolic functional response, Dynamics analysis of a stochastic Leslie-Gower predator-prey model with feedback controls, Delay-induced Bogdanov-Takens bifurcation in a Leslie-Gower predator-prey model with nonmonotonic functional response, Predator-prey interaction system with mutually interfering predator: role of feedback control, Complex dynamics in the Leslie-Gower type of the food chain system with multiple delays, Local and global stability analysis of a two prey one predator model with help, Global stability for a nonautonomous reaction-diffusion predator-prey model with modified Leslie-Gower Holling-II schemes and a prey refuge, Persistence and extinction of a stochastic predator-prey model with modified Leslie-Gower and Holling-type II schemes, Dynamics analysis and optimality in selective harvesting predator-prey model with modified Leslie-Gower and Holling-type \textit{II}, Spatiotemporal pattern in a self- and cross-diffusive predation model with the Allee effect, The basins of attraction in a modified May-Holling-Tanner predator-prey model with Allee affect, Dynamical analysis and effects of law enforcement in a social interaction model, Stability and global Hopf bifurcation in a Leslie-Gower predator-prey model with stage structure for prey, Nonlinear instability for a Leslie-Gower predator-prey model with cross diffusion, The state-dependent impulsive model with action threshold depending on the pest density and its changing rate, A stochastic predator-prey system with modified LG-Holling type II functional response, Bifurcation structures of a Leslie-Gower model with diffusion and advection, Dynamical behavior analysis of the Leslie-Gower model in random environment, Modeling and dynamic analysis of novel coronavirus pneumonia (COVID-19) in China, Study on the biological correlation of a diffusive food web model with application, Spatiotemporal dynamics in a diffusive Holling-Tanner model near codimension-two bifurcations, Predator-prey interactions under fear effect and multiple foraging strategies, Traveling waves of some Holling-Tanner predator-prey system with nonlocal diffusion, Dynamical behaviours of stage-structured fractional-order prey-predator model with Crowley-Martin functional response, A reaction diffusion model to describe the toxin effect on the fish-plankton population, Dynamics of a Leslie-Gower predator-prey model with additive Allee effect, Qualitative analysis of a modified Leslie-Gower predator-prey model with Crowley-Martin functional responses, Complex dynamics in a ratio-dependent two-predator one-prey model, Bifurcations in Holling-Tanner model with generalist predator and prey refuge, Modelling and analysis of a multiple delayed exploited ecosystem towards coexistence perspective, On a uniqueness of solution for a reaction-diffusion type system with a free boundary, Biological invasion in a predator-prey model with a free boundary, A nonlinear splitting algorithm for systems of partial differential equations with self-diffusion, Modeling and Dynamics of Predator Prey Systems on a Circular Domain, Dynamical Behavior of a Modified Leslie–Gower Prey–Predator Model with Michaelis–Menten Type Prey-Harvesting, Qualitative Analysis of a Modified Leslie-Gower Model with Gestation Delay, A stochastic Sir epidemic evolution model with non-concave force of infection: Mathematical modeling and analysis, Effects of Predator-Driven Prey Dispersal on Sustainable Harvesting Yield, Dynamics of a Toxin Producing Plankton-Fish Model with Three-Dimensional Patch and Time Delay, Mathematical analysis of toxin-phytoplankton-fish model with self-diffusion and cross-diffusion, A Leslie–Gower-type predator–prey model with sigmoid functional response, Turing Instability and Hopf Bifurcation in a Modified Leslie–Gower Predator–Prey Model with Cross-Diffusion, Turing instability and Hopf bifurcation in a diffusive Leslie-Gower predator-prey model, Permanence of a diffusive Leslie–Gower predator–prey model incorporating a prey refuge, Almost periodic solution of a modified Leslie–Gower predator–prey model with Holling-type II schemes and mutual interference, Persistence and extinction of a modified Leslie–Gower Holling-type II two-predator one-prey model with Lévy jumps, Global Dynamics in the Leslie–Gower Model with the Allee Effect, Turing Instability of a Modified Reaction–Diffusion Holling–Tanner Model Over a Random Network, Spatial dynamics in a predator-prey model with herd behavior, Unnamed Item, Existence and global attractivity of positive periodic solutions for a delayed predator-prey model with mutual interference and functional response, Stochastic dynamics for the solutions of a modified Holling–Tanner model with random perturbation, Qualitative Study of a Nonlinear Stochastic SIRS Epidemic System, Dynamical behaviors in a discrete fractional-order predator-prey system, Analysis on Dynamics of Delayed Intraguild Predation Model with Ratio-Dependent Functional Response, A diffusive Holling–Tanner prey–predator model with free boundary, Unnamed Item, Bifurcation and Stability in a Delayed Predator–Prey Model with Mixed Functional Responses, Dynamics and pattern formation in a modified Leslie–Gower model with Allee effect and Bazykin functional response, Ecosystem resilience and stability analysis against alien species invasion patterns, Persistence and extinction of a modified LG-Holling type II predator-prey model with two competitive predators and Lévy jumps, Linking bifurcation analysis of Holling–Tanner model with generalist predator to a changing environment, BIFURCATION ANALYSIS OF A MODIFIED LESLIE–GOWER PREDATOR–PREY MODEL WITH HUNTING COOPERATION AND FAVORABLE ADDITIONAL FOOD FOR PREDATOR, A higher-order noise perturbed predator-prey system with fear effect and mixed functional responses, Stochastic analysis of a predator-prey model with modified Leslie-Gower and Holling type II schemes, EFFECT OF FEAR ON A MODIFIED LESLI-GOWER PREDATOR-PREY ECO-EPIDEMIOLOGICAL MODEL WITH DISEASE IN PREDATOR, Effects of B-D functional response and protection zone on a predator-prey model, Bifurcation analysis of a respiratory disease model about air pollution direct and indirect effects, Plankton growth dynamic driven by plankton body size in deterministic and stochastic environments, Dynamic complexity of a modified Leslie-Gower predator-prey system with fear effect, Global boundedness and dynamics of a diffusive predator-prey model with modified Leslie-Gower functional response and density-dependent motion, Time delays and economic profit in fractional differential‐algebraic predator–prey model, Complex dynamics induced by multiple gestation delays in a Leslie–Gower‐type system with competitive interference, Bifurcation analysis and chaos control of a discrete-time prey-predator model with fear factor, Dynamics of Leslie-Gower model with double Allee effect on prey and mutual interference among predators, Impact of time delay and cooperation strategy on the stability of a predator–prey model with Holling type III functional response, Codimension-2 bifurcation in a discrete predator–prey system with constant yield predator harvesting, Bifurcation analysis and simulations of a modified Leslie–Gower predator–prey model with constant‐type prey harvesting, Patterns in a Modified Leslie–Gower Model with Beddington–DeAngelis Functional Response and Nonlocal Prey Competition, Hopf Bifurcation of a Generalized Delay-Induced Predator–Prey System with Habitat Complexity, Unnamed Item, CROSS-DIFFUSION-DRIVEN PATTERN FORMATION AND SELECTION IN A MODIFIED LESLIE–GOWER PREDATOR–PREY MODEL WITH FEAR EFFECT, Pattern Formation Scenario through Turing Instability in Interacting Reaction Diffusion Systems with Both Refuge and Nonlinear Harvesting, Dynamics of delayed stochastic predator–prey models with feedback controls based on discrete observations, A modified Leslie-Gower predator-prey model with ratio-dependent functional response and alternative food for the predator, Hopf bifurcation and stability analysis of an predator-prey system with Holling type IV functional response, Impact of the Fear Effect on the Stability and Bifurcation of a Leslie–Gower Predator–Prey Model, Delay-driven pattern formation in a reaction–diffusion predator–prey model incorporating a prey refuge, Analysis of a harvested tritrophic food chain model in the presence of additional food for top predator, Interactive Effects of Disease Transmission on Predator-Prey Model, Unnamed Item, A GENERALIZED PREDATOR–PREY SYSTEM WITH HABITAT COMPLEXITY, Consequences of weak Allee effect on prey in the May–Holling–Tanner predator–prey model, Stability and Bifurcation Analysis of a Delayed Discrete Predator–Prey Model, Long-time behavior of a stochastic predator–prey model with modified Leslie–Gower and Holling-type II schemes, Dynamic behaviors of a nonautonomous modified Leslie-Gower predator-prey model with Holling-type III schemes and a prey refuge, Unnamed Item, Bifurcation Analysis of a Delay-Induced Predator–Prey Model with Allee Effect and Prey Group Defense, Normal Form of Saddle-Node-Hopf Bifurcation in Retarded Functional Differential Equations and Applications, On existence, multiplicity, uniqueness and stability of positive solutions of a Leslie–Gower type diffusive predator–prey system, Multiple limit cycles in a Leslie–Gower-type predator–prey model considering weak Allee effect on prey, A note on the existence and construction of Dulac functions, Dynamics of eco-epidemiological model with harvesting, Dynamics in a Plankton Model with Toxic Substances and Phytoplankton Harvesting, Fisher-KPP dynamics in diffusive Rosenzweig–MacArthur and Holling–Tanner models, Consequences of weak Allee effect on prey in the May-Holling-Tanner predator-prey model, Leslie’s prey–predator model in discrete time, Dynamics of a Class of Leslie–Gower Predation Models with a Non-Differentiable Functional Response, Constructive role of noise and diffusion in an excitable slow–fast population system, Stochastic persistence and stability analysis of a modified Holling-Tanner model, Instability and Pattern Formation in Three-Species Food Chain Model via Holling Type II Functional Response on a Circular Domain, BIFURCATION AND CHAOS IN A DISCRETE PREDATOR–PREY MODEL WITH HOLLING TYPE-III FUNCTIONAL RESPONSE AND HARVESTING EFFECT, Construction of Dulac functions for mathematical models in population biology, Global Dynamics of a Holling-II Amensalism System with Nonlinear Growth Rate and Allee Effect on the First Species, DYNAMICS OF A MODIFIED LESLIE-GOWER MODEL WITH GESTATION EFFECT AND NONLINEAR HARVESTIN, Periodic solution and stationary distribution for stochastic predator-prey model with modified Leslie-Gower and Holling type II schemes, Impact of fear on delayed three species food-web model with Holling type-II functional response, Complex dynamics of Leslie–Gower prey–predator model with fear, refuge and additional food under multiple delays, Dynamical analysis of a modified Leslie–Gower Holling-type II predator-prey stochastic model in polluted environments with interspecific competition and impulsive toxicant input, Dynamics of a delayed predator–prey interaction incorporating nonlinear prey refuge under the influence of fear effect and additional food, Dynamics of a Modified Leslie-Gower Model with Crowley-Martin Functional Response and Prey Harvesting, On multiplicity and stability of positive solutions of a diffusive prey-predator model, Stability analysis in a delayed prey-predator-resource model with harvest effort and stage structure, Dynamics of the stochastic Leslie-Gower predator-prey system with randomized intrinsic growth rate, Dynamics in a diffusive predator-prey system with a constant prey refuge and delay, Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation, Canard solutions in equations with backward bifurcations of the quasi-steady state manifold, Pattern analysis of a modified Leslie-Gower predator-prey model with Crowley-Martin functional response and diffusion, Diffusion driven instability and Hopf bifurcation in spatial predator-prey model on a circular domain, Modelling and analysis of spatio-temporal dynamics of a marine ecosystem, Dynamics and responses of a predator-prey system with competitive interference and time delay, Bifurcation analysis in a modified Lesile-Gower model with Holling type II functional response and delay, Cyclic growth and global stability of economic dynamics of Kaldor type in two dimensions, Dynamics of a switching diffusion modified Leslie-Gower predator-prey system with Beddington-DeAngelis functional response, Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay, Global dynamics and parameter identifiability in a predator-prey interaction model, Dynamic analysis of a kind of species control model concerning impulsively releasing pathogen and infective predator, Dynamics of a Leslie-Gower Holling-type II predator-prey system with Lévy jumps, Existence and attractivity of a periodic solution for a ratio-dependent Leslie system with feedback controls, Dynamical complexities in the Leslie-Gower predator-prey model as consequences of the Allee effect on prey, Persistence and extinction of a modified Leslie-Gower Holling-type II stochastic predator-prey model with impulsive toxicant input in polluted environments, Coexistence states for a modified Leslie-gower type predator-prey model with diffusion, Stability and Hopf bifurcation in a modified Holling-Tanner predator-prey system with multiple delays, Dynamics of a stage-structured Leslie-Gower predator-prey model, Periodicity and attractivity of a ratio-dependent Leslie system with impulses, A note on a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation, Turing instabilities and spatio-temporal chaos in ratio-dependent Holling-Tanner model, Canard phenomenon in a slow-fast modified Leslie-Gower model, Global dynamics of a predator, weaker prey and stronger prey system, Dynamics of a diffusive predator-prey model with modified Leslie-Gower term and Michaelis-Menten type prey harvesting, Stability analysis of diffusive predator-prey model with modified Leslie-Gower and Holling-type III schemes, Complex dynamics in a prey predator system with multiple delays, Waves analysis and spatiotemporal pattern formation of an ecosystem model, Diffusion has no influence on the global asymptotical stability of the Lotka-Volterra prey-predator model incorporating a constant number of prey refuges, Positive periodic solutions for neutral delay ratio-dependent predator-prey model with Holling-Tanner functional response, Dynamics of a delayed discrete semi-ratio-dependent predator-prey system with Holling type IV functional response, Bifurcation analysis of a modified Leslie-Gower model with Holling type-IV functional response and nonlinear prey harvesting, Stability and bifurcation in a Holling type II predator-prey model with Allee effect and time delay, Boundedness and global stability for a predator-prey system with the Beddington-DeAngelis functional response, Permanence, stability, and coexistence of a diffusive predator-prey model with modified Leslie-Gower and B-D functional response, Competition and coexistence of a stochastic Holling II \(n\)-predator one-prey model, Bifurcation, chaos analysis and control in a discrete-time predator-prey system, Dynamics of a predator-prey model with Holling type II functional response incorporating a prey refuge depending on both the species, Stability for a diffusive delayed predator-prey model with modified Leslie-Gower and Holling-type II schemes., Saddle-node-Hopf bifurcation in a modified Leslie-Gower predator-prey model with time-delay and prey harvesting, Almost periodic solution of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and feedback controls, Stability and Hopf bifurcation in a delayed predator-prey system with herd behavior, Relaxation oscillations in a slow-fast modified Leslie-Gower model, Modeling and analysis of a modified Leslie-gower type three species food chain model with an impulsive control strategy, Dynamical analysis of a predator-prey interaction model with time delay and prey refuge, Positive steady state solutions of a diffusive Leslie-Gower predator-prey model with Holling type II functional response and cross-diffusion, Spatiotemporal pattern formation and selection induced by nonlinear cross-diffusion in a toxic-phytoplankton-zooplankton model with Allee effect, Modeling impact of varying pH due to carbon dioxide on the dynamics of prey-predator species system, Existence and non-monotonicity of traveling wave solutions for general diffusive predator-prey models, A three species dynamical system involving prey-predation, competition and commensalism, Modelling and analysis of a modified May-Holling-Tanner predator-prey model with allee effect in the prey and an alternative food source for the predator, Deterministic and stochastic dynamics of a modified Leslie-Gower prey-predator system with simplified Holling-type IV scheme, An impulsive predator-prey system with modified Leslie-Gower functional response and diffusion, Effect of harvesting, delay and diffusion in a generalist predator-prey model, The effect of delay on a diffusive predator-prey system with modified Leslie-Gower functional response, On the stability and Hopf bifurcation of a prey-generalist predator system with independent age-selective harvesting, Global well-posedness, pattern formation and spiky stationary solutions in a Beddington-DeAngelis competition system, Stability analysis of a fractional order modified Leslie-Gower model with additive Allee effect, Hopf bifurcation and steady-state bifurcation for a Leslie-Gower prey-predator model with strong allee effect in prey, Bifurcation analysis of modified Leslie-Gower predator-prey model with Michaelis-Menten type prey harvesting, Permanence and almost periodic solutions of a discrete ratio-dependent Leslie system with time delays and feedback controls, Complexity and chaos control in a discrete-time prey-predator model, Stability analysis of diffusive predator-prey model with modified Leslie-Gower and Holling-type II schemes, Hopf bifurcation and global stability of a delayed predator-prey model with prey harvesting, Dynamics of a nonautonomous Leslie-Gower type food chain model with delays, Dynamic behaviors of a harvesting Leslie-Gower predator-prey model, Turing patterns created by cross-diffusion for a Holling II and Leslie-Gower type three species food chain model, Spatiotemporal dynamics of a Leslie-Gower predator-prey model incorporating a prey refuge, Dynamic behaviour of a delayed predator-prey model with harvesting, Qualitative analysis of a modified Leslie-Gower and Holling-type II predator-prey model with state dependent impulsive effects, Analysis on a stochastic predator-prey model with modified Leslie-Gower response, A modified Leslie-Gower predator-prey model with prey infection, Global asymptotic stability of a predator-prey model with modified Leslie-Gower and Holling-type II schemes, Analysis of a Leslie-Gower-type prey-predator model with periodic impulsive perturbations, Study of LG-Holling type III predator-prey model with disease in predator, Qualitative analysis of a ratio-dependent Holling-Tanner model, Predator-prey dynamical behavior and stability analysis with square root functional response, A delay-induced predator-prey model with Holling type functional response and habitat complexity, Qualitative analysis for a diffusive predator-prey model, Global stability of a modified Leslie-Gower model with Beddington-DeAngelis functional response, Permanence for a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and feedback controls, Limit cycle and numerical similations for small and large delays in a predator-prey model with modified Leslie-Gower and Holling-type II schemes, Effect of prey refuge on the spatiotemporal dynamics of a modified Leslie-Gower predator-prey system with Holling type III schemes, Dynamical analysis of a prey-predator model with Beddington-DeAngelis type function response incorporating a prey refuge, Dynamics of a modified Leslie-Gower model with double Allee effects, On a Leslie-Gower predator-prey model incorporating a prey refuge, Positive solutions of a diffusive predator-prey model with modified Leslie-Gower and Holling-type II schemes, Global stability of a Leslie-Gower predator-prey model with feedback controls, Persistence and stability for a generalized Leslie-Gower model with stage structure and dispersal, Global Hopf bifurcation of a general predator-prey system with diffusion and stage structures, Existence, uniqueness and stability of positive steady states to a prey-predator diffusion system, On a solution of the probabilistic predator-prey model approached by the fixed point methods, Dynamics of a stochastic regime-switching predator-prey model with modified Leslie-Gower Holling-type II schemes and prey harvesting, Biological control via ``ecological damping: an approach that attenuates non-target effects, Dynamics of a food chain model with ratio-dependent and modified Leslie-Gower functional responses, Global dynamics on a circular domain of a diffusion predator-prey model with modified Leslie-Gower and Beddington-DeAngelis functional type
Cites Work
- Unnamed Item
- Study of a Leslie-Gower-type tritrophic population model
- A Lyapunov function for Leslie-Gower predator-prey models
- Should all the species of a food chain be counted to investigate the global dynamics?
- The properties of a stochastic model for the predator-prey type of interaction between two species
- SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
- Analysis of the dynamics of a realistic ecological model