Stability and Hopf bifurcation in a delayed predator-prey system with stage structure for prey (Q984565): Difference between revisions

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+Stability and bifurcation analysis for a delayed Lotka--Volterra predator--prey system
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+Stability and bifurcation for a delayed predator-prey model and the effect of diffusion
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+Stability and delays in a predator-prey system
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+.1016/J.NONRWA.2009.10.001
@@ Property / DOI: 10.1016/J.NONRWA.2009.10.001 / rank @@
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+捕食者和食饵都具有阶段结构的时滞捕食系统的稳定性和 Hopf 分支（英）
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Latest revision as of 16:19, 11 July 2025

scientific article; zbMATH DE number 5757782

Language	Label	Description	Also known as
English	Stability and Hopf bifurcation in a delayed predator-prey system with stage structure for prey	scientific article; zbMATH DE number 5757782

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scholarly article

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title

Stability and Hopf bifurcation in a delayed predator-prey system with stage structure for prey (English)

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Nonlinear Analysis. Real World Applications

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publication date

20 July 2010

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review text

The authors consider a predator-prey system of Lotka-Volterra type with time delays and stage structure for prey. By analyzing the corresponding characteristic equations, the local stability of the equilibria is investigated and Hopf bifurcations occurring at the positive equilibrium under some conditions are demonstrated. The mathematical tools which enable us to obtain sufficient conditions guaranteeing the global asymptotical stability of the equilibria, are the well-known Kamke comparison theorem and an iteration technique. Numerical simulations are carried out to illustrate the theoretical results.

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reviewed by

Haifeng Huo

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zbMATH Keywords

predator-prey

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Hopf bifurcation

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global asymptotic stability

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stage structure