Bifurcation analysis in a delayed diffusive Leslie-Gower model

DOI10.1155/2013/170501zbMath1264.34168OpenAlexW2022273010WikidataQ58921393 ScholiaQ58921393MaRDI QIDQ1956004

Weiming Wang, Xinze Lian, Youbin Wang, Shuling Yan

Publication date: 13 June 2013

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/170501

zbMATH Keywords

periodic orbitsHopf bifurcationLeslie-Gower model

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)

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Cites Work

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• Stability and Hopf bifurcation in a diffusive predator-prey system with delay effect
• Spatiotemporal dynamics of a Leslie-Gower predator-prey model incorporating a prey refuge
• Dynamical complexities in the Leslie-Gower predator-prey model as consequences of the Allee effect on prey
• Delay differential equations: with applications in population dynamics
• Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
• Retracted: Bifurcation analysis in the delayed Leslie-Gower predator-prey system
• Limit cycle and numerical similations for small and large delays in a predator-prey model with modified Leslie-Gower and Holling-type II schemes
• Two limit cycles in a Leslie-Gower predator-prey model with additive Allee effect
• On a Leslie-Gower predator-prey model incorporating a prey refuge
• Theory and applications of partial functional differential equations
• Qualitative theory of planar differential systems
• Critical cases for neutral functional differential equations
• Hopf bifurcation analysis for a delayed predator-prey system with diffusion effects
• A STOCHASTIC MODEL FOR STUDYING THE PROPERTIES OF CERTAIN BIOLOGICAL SYSTEMS BY NUMERICAL METHODS
• On Nonlinear Dynamics of Predator-Prey Models with Discrete Delay
• Three Limit Cycles in a Leslie–Gower Predator-Prey Model with Additive Allee Effect
• SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
• Stability and bifurcation for a delayed predator-prey model and the effect of diffusion