Global Stability of Predator-Prey System with Alternative Prey | Zendy

Banshidhar Sahoo | Zendy

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Global Stability of Predator-Prey System with Alternative Prey

Author(s) -

Banshidhar Sahoo

Publication year - 2012

Publication title -

isrn biotechnology

Language(s) - English

Resource type - Journals

ISSN - 2090-9403

DOI - 10.5402/2013/898039

Subject(s) - predation , predator , stability (learning theory) , bifurcation , equilibrium point , mathematics , control theory (sociology) , mathematical economics , ecology , economics , mathematical analysis , computer science , biology , nonlinear system , physics , differential equation , control (management) , machine learning , management , quantum mechanics

A predator-prey model in presence of alternative prey is proposed. Existence and local stability conditions for interior equilibrium points are derived. Global stability conditions for interior equilibrium points are also found. Bifurcation analysis is done with respect to predator's searching rate and handling time. Bifurcation analysis confirms the existence of global stability in presence of alternative prey.

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