Asymptotic stability of one prey and two predators model with two functional responses

Ricerche di Matematica - Tập 68 - Trang 435-452 - 2018
Harsha Kharbanda1, Sachin Kumar1
1Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, New Delhi, India

Tóm tắt

We formulate a mathematical model to study the complex dynamical behavior of a three dimensional model consisting of one prey and two predators involving Beddington–DeAngelis and Crowley–Martin functional responses. The existence and stability conditions of the equilibrium points are analyzed. The global asymptotic stability of the interior equilibrium point, if exists, is proved by considering Lyapunov function. Several numerical simulations are performed to illustrate the theoretical analysis. The multiple states of stability are observed in one example whereas another example exhibits the global stability of interior equilibrium point.

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Ricerche di Matematica

Tập 68

435-452

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