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Zbl 1217.35205
Liu, Yanqin; Xin, Baogui
Numerical solutions of a fractional predator-prey system. (English)
[J] Adv. Difference Equ. 2011, Article ID 190475, 11 p. (2011). ISSN 1687-1847/e

Summary: We implement a 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.

MSC 2000:: *35R11
35Q92
92D25 Population dynamics
37N25 Dynamical systems in biology
35B30 Dependence of solutions of PDE on initial and boundary data
26A33 Fractional derivatives and integrals (real functions)

Keywords: homotopy perturbation method; nonlinear fractional differential equations; predator-prey system

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