Numerical Solutions of a Fractional Predator-Prey System

Advances in Difference Equations

Yanqin Liu¹  Baogui Xin² 

[1] Department of Mathematics, Dezhou University, Dezhou, China;Nonlinear Dynamics and Chaos Group, School of Management, Tianjin University, Tianjin, China

关键词: Fractional Derivative;    Fractional Calculus;    Fractional Differential Equation;    Prey Population;    Predator Population;   

DOI  :  10.1155/2011/190475

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We implement relatively new analytical technique, the Homotopy perturbation method, for solving nonlinear fractional partial differential equations arising in predator-prey biological population dynamics system. Numerical solutions are given, and some properties exhibit biologically reasonable dependence on the parameter values. And the fractional derivatives are described in the Caputo sense.

【 授权许可】

CC BY