Mathematical and Dynamic Analysis of a Prey‐Predator Model in the Presence of Alternative Prey with Impulsive State Feedback Control | Zendy

Chuanjun Dai | Zendy; Min Zhao | Zendy

Open Access

Mathematical and Dynamic Analysis of a Prey‐Predator Model in the Presence of Alternative Prey with Impulsive State Feedback Control

Author(s) -

Chuanjun Dai,

Min Zhao

Publication year - 2012

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 - 10.1155/2012/724014

Subject(s) - control theory (sociology) , predation , bifurcation , stability (learning theory) , feedback control , hopf bifurcation , mathematics , bifurcation diagram , controller (irrigation) , computer science , control (management) , physics , ecology , nonlinear system , control engineering , biology , engineering , quantum mechanics , artificial intelligence , machine learning , agronomy

The dynamic complexities of a prey-predator system in the presence of alternative prey with impulsive state feedback control are studied analytically and numerically. By using the analogue of the Poincaré criterion, sufficient conditions for the existence and stability of semitrivial periodic solutions can be obtained. Furthermore, the corresponding bifurcation diagrams and phase diagrams are investigated by means of numerical simulations which illustrate the feasibility of the main results

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