Chaos in a Predator-Prey System with Impulsive Perturbations and Stage Structure for the Predator | Zendy

Bin Zhang | Zendy; Shuai Shi | Zendy; Liu Wo-ye | Zendy

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Chaos in a Predator-Prey System with Impulsive Perturbations and Stage Structure for the Predator

Author(s) -

Bin Zhang,

Shuai Shi,

Liu Wo-ye

Publication year - 2009

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2009/195382

Subject(s) - floquet theory , predator , attractor , bifurcation , perturbation (astronomy) , predation , mathematics , control theory (sociology) , oscillation (cell signaling) , hopf bifurcation , mathematical analysis , nonlinear system , physics , computer science , ecology , biology , genetics , control (management) , quantum mechanics , artificial intelligence

We investigate a predator-prey model with stage structure for the predator and periodic constant impulsive perturbations. Conditions for extinction of prey and immature predator are given. By using the Floquet theory and small amplitude perturbation skills, we consider the local stability of prey, immature predator eradication periodic solution. Furthermore, by using the method of numerical simulation, the influence of the impulsive control strategy on the inherent oscillation is investigated, which shows rich complex dynamic (such as periodic doubling bifurcation, periodic halving bifurcation, nonunique attractors, chaos, and periodic windows)

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