Predator-prey dynamics with square root functional responses
From MaRDI portal
Publication:1926161
DOI10.1016/j.nonrwa.2011.12.014zbMath1254.92072OpenAlexW2004721236MaRDI QIDQ1926161
Publication date: 28 December 2012
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.12.014
Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25)
Related Items
Mathematical analysis of a fractional-order predator-prey model with prey social behavior and infection developed in predator population, Spatiotemporal patterns in a diffusive predator-prey model with protection zone and predator harvesting, Hopf bifurcation in a diffusive predator-prey model with Smith growth rate and herd behavior, A type IV functional response with different shapes in a predator-prey model, A prey-predator system with herd behaviour of prey in a rapidly fluctuating environment, Bifurcation analysis of a special delayed predator-prey model with herd behavior and prey harvesting, Stability and Hopf bifurcation of a modified predator-prey model with a time delay and square root response function, Hopf bifurcation in a diffusive predator-prey model with a square-root singularity, Dynamics of a Toxin Producing Plankton-Fish Model with Three-Dimensional Patch and Time Delay, Dynamic analysis of a predator-prey system with nonlinear prey harvesting and square root functional response, Global dynamics of a predator-prey model with defense mechanism for prey, Spatial Periodic Solutions in a Delayed Diffusive Predator–Prey Model with Herd Behavior, Stability, Hopf bifurcations and spatial patterns in a delayed diffusive predator-prey model with herd behavior, Turing-Hopf bifurcations in a predator-prey model with herd behavior, quadratic mortality and prey-taxis, Bifurcation analysis of a diffusive predator–prey system with a herd behavior and quadratic mortality, Spatial dynamics in a predator-prey model with herd behavior, Dynamics of a predator-prey ecological system with nonlinear harvesting rate, Turing-Hopf bifurcation analysis of a predator-prey model with herd behavior and cross-diffusion, Stability and Hopf bifurcation of a predator-prey biological economic system with nonlinear harvesting rate, Dynamical behavior of two predators-one prey model with generalized functional response and time-fractional derivative, Shape effects on herd behavior in prey-predator interaction with multiple delays and alternative food source to predator in non-autonomous environment, A predator-prey model with cooperative hunting in the predator and group defense in the prey, Stability, bifurcation analysis and chaos control of a discrete predator-prey system with square root functional response, Stability of a fear effect predator–prey model with mutual interference or group defense, Stochastic dynamical analysis in a hybrid bioeconomic system with telephone noise and distributed delay, Untangling role of cooperative hunting among predators and herd behavior in prey with a dynamical systems approach, Cross-diffusion induced spatiotemporal patterns in a predator-prey model with herd behavior, Alternative Resource and Harvesting in Predator-prey Dynamics: Analyzing a Delay Model, Analysis of a predator-prey model for exploited fish populations with schooling behavior, Stability and further analytical bifurcation behaviors of Moran-Ricker model with delayed density dependent birth rate regulation, Bifurcation analysis of a modified May-Holling-Tanner predator-prey model with Allee effect, Stability and Bifurcation Analysis in a Predator–Prey System with Constant Harvesting and Prey Group Defense, Dynamics of a predator-prey model with generalized Holling type functional response and mutual interference, Turing Pattern Induced by Cross-Diffusion in a Predator–Prey Model with Pack Predation-Herd Behavior, Bifurcation branch of stationary solutions in a general predator-prey system with prey-taxis, Ecoepidemiology: a More Comprehensive View of Population Interactions, An Ecoepidemic Model with Prey Herd Behavior and Predator Feeding Saturation Response on Both Healthy and Diseased Prey, STABILITY AND BIFURCATION ANALYSIS OF A DISCRETE PREY–PREDATOR MODEL WITH SQUARE-ROOT FUNCTIONAL RESPONSE AND OPTIMAL HARVESTING, Stability and Turing Patterns in a Predator–Prey Model with Hunting Cooperation and Allee Effect in Prey Population, DELAY INDUCED SUBCRITICAL HOPF BIFURCATION IN A DIFFUSIVE PREDATOR-PREY MODEL WITH HERD BEHAVIOR AND HYPERBOLIC MORTALITY, Dynamic analysis of a prey-predator model with state-dependent control strategy and square root response function, Significance of additional food to mutually interfering predator under herd behavior of prey on the stability of a spatio-temporal system, Chaotic behavior of predator-prey model with group defense and non-linear harvesting in prey, Impact of prey herd shape on the predator-prey interaction, Predator-prey systems with a general non-monotonic functional response, Prey herd behavior modeled by a generic non-differentiable functional response, Analysis of a predator–prey model with herd behavior and disease in prey incorporating prey refuge, Hopf bifurcation analysis in a diffusive predator-prey system with delay and surplus killing effect, Complex dynamics in a singular delayed bioeconomic model with and without stochastic fluctuation, On certain modification of age-dependent predator-prey model, Stability and Hopf bifurcation in a delayed predator-prey system with herd behavior, An impulsive three-species model with square root functional response and mutual interference of predator, Dynamics and patterns of a diffusive prey-predator system with a group defense for prey, Predator-Prey Model with Prey Group Defense and Non-linear Predator Harvesting, Spatiotemporal Model of a Predator–Prey System with Herd Behavior and Quadratic Mortality, Hopf Bifurcation in a Delayed Diffusive Leslie–Gower Predator–Prey Model with Herd Behavior, An impulsive two-stage predator-prey model with stage-structure and square root functional responses, Shape effects on herd behavior in ecological interacting population models, Effect of Habitat on Dynamic of Native and Exotic Prey–Predator Population, Herding Induced by Encounter Rate, with Predator Pressure Influencing Prey Response, Stability and global dynamic of a stage-structured predator-prey model with group defense mechanism of the prey, Bifurcation analysis and Turing instability in a diffusive predator-prey model with herd behavior and hyperbolic mortality, Analysis of a stochastic Holling type II predator-prey model under regime switching, Global dynamic behavior of a predator-prey model under ratio-dependent state impulsive control, Permanence and global attractivity in a discrete Lotka-Volterra predator-prey model with delays, A predator-prey model with different response functions to juvenile and adult prey in deterministic and stochastic environments, Social behavior-induced multistability in minimal competitive ecosystems, Dynamics analysis of a predator-prey model with herd behavior and nonlocal prey competition, Spatio-temporal dynamics near the steady state of a planktonic system, Dynamics of predator-prey system with fading memory, Limit cycles for some families of smooth and non-smooth planar systems, Spatiotemporal patterns in a diffusive predator-prey model with prey social behavior, Stability and Bifurcation Analysis of a Delayed Discrete Predator–Prey Model, Oscillatory coexistence of species in a food chain model with general Holling interactions, Predator-prey dynamical behavior and stability analysis with square root functional response, Dynamical analysis on prey refuge in a predator-prey model with square root functional response, Dynamic behaviors of a modified predator-prey model with state-dependent impulsive effects, Stationary distribution and extinction of a stochastic predator-prey model with herd behavior, Bifurcation Analysis of a Delay-Induced Predator–Prey Model with Allee Effect and Prey Group Defense, Some Novel Results in Two Species Competition, Stability and Hopf-bifurcation in a general Gauss type two-prey and one-predator system, Ecoepidemics with infected prey in herd defence: the harmless and toxic cases, Dynamics of a diffusive predator–prey model with herd behavior, Spatiotemporal patterns induced by Hopf bifurcations in a homogeneous diffusive predator-prey system, Dynamics of a stage-structured predator-prey model: cost and benefit of fear-induced group defense, A predator-prey model with genetic differentiation both in the predator and prey, Stochastic analysis of a prey–predator model with herd behaviour of prey, A Prey-Predator Dynamics with Square Root Functional Responses and Strong Allee Effect, The effect of the defensive strategy taken by the prey on predator-prey interaction, Dynamic Analysis of a Population Competition Model with Disease in One Species and Group Defense in Another Species, Impact of fear in a prey-predator system with herd behaviour, SOCIAL BEHAVIOR OF GROUP DEFENSE IN A PREDATOR–PREY SYSTEM WITH DELAY, Mathematical analysis of the influence of prey escaping from prey herd on three species fractional predator-prey interaction model, Spatiotemporal patterns induced by cross-diffusion in predator–prey model with prey herd shape effect, Stability and bifurcations analysis in an ecoepidemic system with prey group defense and two infectious routes, Mathematical analysis of a diffusive predator-prey model with herd behavior and prey escaping, Dynamical study of a prey-predator system with a commensal species competing with prey species: effect of time lag and alternative food source, A More Realistic Formulation of Herd Behavior for Interacting Populations, Predator–Prey System: Bachelor Herding of the Prey Imposes Ecological Constraints on Predation, Ecoepidemic predator-prey model with feeding satiation, prey herd behavior and abandoned infected prey, EFFECT OF HARVESTING ON A THREE-SPECIES PREDATOR–PREY INTERACTION WITH FRACTIONAL DERIVATIVE, An ecoepidemic model with healthy prey herding and infected prey drifting away, ON SOME METHODOLOGICAL ISSUES IN MATHEMATICAL MODELING OF INTERACTING POPULATIONS, Spatiotemporal dynamics in a diffusive predator-prey model with multiple Allee effect and herd behavior, Hopf and Turing-Hopf bifurcation analysis of a delayed predator-prey model with schooling behavior, Global dynamics of a Leslie-Gower predator-prey model with square root response function, Turing pattern of a diffusive predator-prey model with nonlocal delay and herd behavior, Modeling the herd prey response to individualistic predators attacks, Bifurcation analysis of a diffusive predator–prey model with prey social behavior and predator harvesting, Stationary pattern and Hopf bifurcation of a diffusive predator–prey model, Dynamic analysis of a predator–prey model of Gause type with Allee effect and non-Lipschitzian hyperbolic-type functional response, Transcritical bifurcation and Neimark-Sacker bifurcation of a discrete predator-prey model with herd behaviour and square root functional response, Pattern Dynamics in a Predator–Prey Model with Schooling Behavior and Cross-Diffusion, Dynamics of one-prey two-predator system with square root functional response and time lag, EFFECT OF HERD SHAPE IN A DIFFUSIVE PREDATOR-PREY MODEL WITH TIME DELAY, HOPF BIFURCATION IN A DIFFUSIVE PREDATOR-PREY MODEL WITH HERD BEHAVIOR AND PREY HARVESTING, Dynamics of an epidemic system with prey herd behavior and alternative resource to predator
Uses Software
Cites Work
- Unnamed Item
- A detailed study of the Beddington-DeAngelis predator-prey model
- Stability and Hopf bifurcation in a diffusive predator-prey system with delay effect
- Modeling herd behavior in population systems
- Effects of prey over-undercrowding in predator-prey systems with prey-dependent trophic functions
- The dynamics of an epidemic model for pest control with impulsive effect
- Permanence and global stability for nonautonomous \(N\)-species Lotka-Volterra competitive system with impulses
- Stability and Hopf bifurcation in a delayed predator-prey system with stage structure for prey
- Applications of centre manifold theory
- Effects of spatial grouping on the functional response of predators
- Global qualitative analysis of a ratio-dependent predator-prey system
- Patchy agglomeration as a transition from monospecies to recurrent plankton blooms
- A ratio-dependent food chain model and its applications to biological control.
- Predator-prey dynamics with disease in the prey
- Simulating, Analyzing, and Animating Dynamical Systems
- COMPLEXITY OF A DELAYED PREDATOR–PREY MODEL WITH IMPULSIVE HARVEST AND HOLLING TYPE II FUNCTIONAL RESPONSE
- Dynamics of a Predator-Prey Model
- The Bifurcation Structure of the Holling--Tanner Model for Predator-Prey Interactions Using Two-Timing
- Heteroclinic Bifurcation in the Michaelis–Menten-Type Ratio-Dependent Predator-Prey System
- SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
