Bifurcation analysis of a modified Leslie-Gower model with Holling type-IV functional response and nonlinear prey harvesting

DOI10.1186/S13662-018-1581-3zbMath1445.37075OpenAlexW2796729762WikidataQ115518889 ScholiaQ115518889MaRDI QIDQ1712101

Ranjit Kumar Upadhyay, Jyotiska Datta, Zi-Zhen Zhang

Publication date: 21 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1581-3

zbMATH Keywords

saddle-node bifurcationHopf-bifurcationsingular optimal controlstable limit cyclebionomic equilibria

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (12)

Bifurcation analysis and chaos control in discrete-time modified Leslie-Gower prey harvesting model ⋮ Effects of boundary conditions on pattern formation in a nonlocal prey-predator model ⋮ Hopf bifurcation analysis in a delayed Leslie-Gower predator-prey model incorporating additional food for predators, refuge and threshold harvesting of preys ⋮ Stability and bifurcation analysis of discrete predator–prey model with nonlinear prey harvesting and prey refuge ⋮ Study of a Leslie-Gower predator-prey model with prey defense and mutual interference of predators ⋮ Bifurcation and bio-economic analysis of a prey-generalist predator model with Holling type IV functional response and nonlinear age-selective prey harvesting ⋮ Mathematical Analysis of an Eco-Epidemic Model with Different Functional Responses of Healthy and Infected Predators on Prey Species ⋮ Dynamical response of an eco-epidemiological system with harvesting ⋮ Predator-prey interactions under fear effect and multiple foraging strategies ⋮ BIFURCATION ANALYSIS OF A TWO-DIMENSIONAL PREDATOR–PREY MODEL WITH HOLLING TYPE IV FUNCTIONAL RESPONSE AND NONLINEAR PREDATOR HARVESTING ⋮ Complex dynamics of Leslie–Gower prey–predator model with fear, refuge and additional food under multiple delays ⋮ A non-autonomous Leslie-Gower model with Holling type IV functional response and harvesting complexity

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