Dynamics in a Discrete Prey-Predator System
نویسنده
چکیده
The stability analysis around equilibrium of a discrete-time predator prey system is considered in this paper. We obtain local stability conditions of the system near equilibrium points. The phase portraits are obtained for different sets of parameter values. Also limit cycles and bifurcation diagrams are provided for selective range of growth parameter. It is observed that prey and predator populations exhibit chaotic dynamics. Numerical simulations are performed and they exhibit rich dynamics of the discrete model. 2010 Mathematics Subject Classification. 39A30, 92D25
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تاریخ انتشار 2013