Global Stability for a Delayed Predator-Prey System with Stage Structure for the Predator | Zendy

Xiao Zhang | Zendy; Rui Xu | Zendy; Qintao Gan | Zendy

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Global Stability for a Delayed Predator-Prey System with Stage Structure for the Predator

Author(s) -

Xiao Zhang,

Rui Xu,

Qintao Gan

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 - 10.1155/2009/285934

Subject(s) - predator , stability (learning theory) , hopf bifurcation , predation , mathematics , boundary (topology) , stage (stratigraphy) , control theory (sociology) , bifurcation , mathematical analysis , ecology , computer science , nonlinear system , physics , biology , paleontology , control (management) , quantum mechanics , machine learning , artificial intelligence

A delayed predator-prey system with stage structure for the predator is investigated. By analyzing the corresponding characteristic equations, the local stability of equilibria of the system is discussed. The existence of Hopf bifurcation at the positive equilibrium is established. By using an iteration technique and comparison argument, respectively, sufficient conditions are derived for the global stability of the positive equilibrium and two boundary equilibria of the system. Numerical simulations are carried out to illustrate the theoretical results

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