Coexistence Region and Global Dynamics of a Harvested Predator-Prey System
From MaRDI portal
Publication:4388819
DOI10.1137/S0036139994275799zbMath0916.34034OpenAlexW2079833113WikidataQ115525484 ScholiaQ115525484MaRDI QIDQ4388819
Publication date: 10 May 1998
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036139994275799
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items (91)
Mathematical model of fish, birds and tourists in wetlands: the impact of periodic fluctuations on the coexistence of species ⋮ On a non-selective harvesting prey-predator model with Hassell-Varley type functional response ⋮ Delay-driven spatial patterns in a predator-prey model with constant prey harvesting ⋮ Patterns induced by super cross-diffusion in a predator-prey system with Michaelis-Menten type harvesting ⋮ Non-selective harvesting in prey--predator models with delay ⋮ Stability and bifurcation analysis in a predator-prey system with Michaelis-Menten type predator harvesting ⋮ Global dynamics and controllability of a harvested prey-predator system with Holling type III functional response ⋮ Effect of harvesting and infection on predator in a prey-predator system ⋮ Positive periodic solution of an augmented predator-prey model with seasonal harvest of prey and migration of predator ⋮ A bioeconomic model of a ratio-dependent predator-prey system and optimal havesting ⋮ A Plankton-Nutrient Model with Holling Type III Response Function ⋮ Dynamics of a Harvested Prey–Predator Model with Prey Refuge Dependent on Both Species ⋮ Modelling a single-species closed habitat fishery with spatial heterogeneity and time delay ⋮ Positive solutions for singular semi-positone three-point systems ⋮ Effort dynamics of a delay-induced prey-predator system with reserve ⋮ Conservation of a resource based fishery through optimal taxation ⋮ BIFURCATION AND CONTROL IN A DIFFERENTIAL-ALGEBRAIC HARVESTED PREY-PREDATOR MODEL WITH STAGE STRUCTURE FOR PREDATOR ⋮ Selective harvesting in a prey-predator fishery with time delay ⋮ Dynamics in a diffusive modified Leslie-Gower predator-prey model with time delay and prey harvesting ⋮ Dynamic behaviour of a reaction-diffusion predator-prey model with both refuge and harvesting ⋮ Qualitative analysis of a harvested predator-prey system with Holling type III functional response ⋮ Singular perturbations of the Holling I predator-prey system with a focus ⋮ Impact of discontinuous harvesting policies on prey–predator system with Hassell–Varley-type functional response ⋮ A PREDATOR-PEST MODEL WITH ALLEE EFFECT AND PEST CULLING AND ADDITIONAL FOOD PROVISION TO THE PREDATOR — APPLICATION TO PEST CONTROL ⋮ Decoupled algorithms for non-linearly coupled reaction-diffusion competition model with harvesting and stocking ⋮ Cannibalistic enemy-pest model: effect of additional food and harvesting ⋮ On the Dynamics of a Harvested Tri-trophic Food Chain Model with Alternative Food Source ⋮ Homoclinic bifurcation for a general state-dependent Kolmogorov type predator-prey model with harvesting ⋮ Dynamics and bifurcations on a class of population model with seasonal constant-yield harvesting ⋮ Periodic dynamics of a single species model with seasonal Michaelis-Menten type harvesting. II: Existence of two periodic solutions ⋮ Prey-predator dynamics with two predator types and Michaelis-Menten predator harvesting ⋮ Modelling the dynamics in a predator-prey system with Allee effects and anti-predator behavior ⋮ A comparison of two predator-prey models with Holling's type I functional response ⋮ Traveling wavefronts of a prey-predator diffusion system with stage-structure and harvesting ⋮ Codimension-2 bifurcation in a discrete predator–prey system with constant yield predator harvesting ⋮ Global dynamics of an additional food provided predator-prey system with constant harvest in predators ⋮ Dynamics of a harvested predator-prey model with predator-taxis ⋮ Global dynamics of a competitive system with seasonal succession and different harvesting strategies ⋮ Periodic dynamics of a single species model with seasonal Michaelis-Menten type harvesting ⋮ Effects of whaling and krill fishing on the whale-krill predation dynamics: bifurcations in a harvested predator-prey model with Holling type I functional response ⋮ On non-selective harvesting of a multispecies fishery incorporating partial closure for the populations ⋮ Complex dynamics of a prey-predator interaction model with Holling type-II functional response incorporating the effect of fear on prey and non-linear predator harvesting ⋮ Periodic solutions and homoclinic bifurcation of a predator-prey system with two types of harvesting ⋮ Global stability and Hopf-bifurcation of prey-predator system with two discrete delays including habitat complexity and prey refuge ⋮ Pattern Formation Scenario through Turing Instability in Interacting Reaction Diffusion Systems with Both Refuge and Nonlinear Harvesting ⋮ Positive periodic solutions in a non-selective harvesting predator-prey model with multiple delays ⋮ Bifurcation and control of a bioeconomic model of a prey-predator system with a time delay ⋮ Hopf bifurcation and center stability for a predator-prey biological economic model with prey harvesting ⋮ Chaotic behavior of predator-prey model with group defense and non-linear harvesting in prey ⋮ An integrated project of fishery and poultry ⋮ Saddle-node-Hopf bifurcation in a modified Leslie-Gower predator-prey model with time-delay and prey harvesting ⋮ Discrete optimal control method based on the optimal strategy of fishing ⋮ ON SELECTIVE HARVESTING OF TWO COMPETING FISH SPECIES IN THE PRESENCE OF ENVIRONMENTAL FLUCTUATION ⋮ Dynamical complexity of a prey-predator model with nonlinear predator harvesting ⋮ A new bifurcation in non-smooth continuous system inducing semi-limit cycle ⋮ Selective harvesting of two competing fish species in the presence of toxicity with time delay ⋮ Traveling wave phenomena in a nonlocal dispersal predator-prey system with the Beddington-DeAngelis functional response and harvesting ⋮ The dynamics of a food web consisting of two preys and a harvesting predator ⋮ Effect of Poaching on Tiger-Deer interaction Model with Ratio-Dependent Functional Response in the Sundarbans Ecosystem ⋮ Harvesting and conservation in a predator-prey system ⋮ Dynamics analysis of a delayed diffusive predator-prey system with non-smooth continuous threshold harvesting ⋮ Bifurcation of a delayed gause predator-prey model with Michaelis-Menten type harvesting ⋮ Bifurcation analysis of modified Leslie-Gower predator-prey model with Michaelis-Menten type prey harvesting ⋮ Multiplicity of positive almost periodic solutions in a delayed Hassell-Varley-type predator-prey model with harvesting on prey ⋮ The discrete Beverton-Holt model with periodic harvesting in a periodically fluctuating environ\-ment ⋮ Impact of harvesting on a bioeconomic predator-prey fishery model subject to environmental toxicant ⋮ Dynamic behaviour of a delayed predator-prey model with harvesting ⋮ Dynamics of a ratio-dependent eco-epidemiological system with prey harvesting ⋮ Bifurcation analysis of a generalized Gause model with prey harvesting and a generalized Holling response function of type III ⋮ Qualitative analysis of a predator-prey model with constant-rate prey harvesting incorporating a constant prey refuge ⋮ Coexistence, extinction, and optimal harvesting in discrete-time stochastic population models ⋮ Analysis of Bogdanov-Takens bifurcations in a spatiotemporal harvested-predator and prey system with Beddington-DeAngelis-type response function ⋮ Dynamics of a non-selective harvesting predator-prey model with Hassell-Varley type functional response and impulsive effects ⋮ Effect of prey refuge on a harvested predator-prey model with generalized functional response ⋮ Periodic solutions of a nonautonomous Leslie-Gower predator-prey model with non-linear type prey harvesting on time scales ⋮ A bioeconomic differential algebraic predator-prey model with nonlinear prey harvesting ⋮ PERSISTENCE AND STABILITY IN ARATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH DELAY AND HARVESTING ⋮ Almost periodic dynamics of delayed prey–predator model with discontinuous harvesting policies and Hassell–Varley type functional response ⋮ Modelling and analysis of a prey-predator system with stage-structure and harvesting ⋮ Optimal harvesting policy of a prey–predator model with Crowley–Martin-type functional response and stage structure in the predator ⋮ Dynamics of prey-predator model with stage structure in prey including maturation and gestation delays ⋮ STABILITY ANALYSIS OF A PREY-PREDATOR MODEL WITH DELAY AND HARVESTING ⋮ Dynamical response of an eco-epidemiological system with harvesting ⋮ Chaos Detection and Optimal Control in a Cannibalistic Prey–Predator System with Harvesting ⋮ CONTROLLABILITY OF A HARVESTED PREY-PREDATOR SYSTEM WITH TIME DELAY ⋮ On almost periodicity of delayed predator-prey model with mutual interference and discontinuous harvesting policies ⋮ Degenerate Bogdanov-Takens bifurcation of codimension 4 in Holling-Tanner model with harvesting ⋮ Modelling and analysis of a harvested prey--predator system incorporating a prey refuge ⋮ ANALYSIS OF BOGDANOV–TAKENS BIFURCATION OF CODIMENSION 2 IN A GAUSE-TYPE MODEL WITH CONSTANT HARVESTING OF BOTH SPECIES AND DELAY EFFECT ⋮ MULTIPLE BIFURCATIONS IN A PREDATOR–PREY SYSTEM OF HOLLING AND LESLIE TYPE WITH CONSTANT-YIELD PREY HARVESTING ⋮ Bogdanov-Takens bifurcation of codimension 3 in a predator-prey model with constant-yield predator harvesting
This page was built for publication: Coexistence Region and Global Dynamics of a Harvested Predator-Prey System