Numerical solutions of a fractional predator-prey system. (English) Zbl 1217.35205
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:
| 35R11 | Fractional partial differential equations |
| 35Q92 | PDEs in connection with biology, chemistry and other natural sciences |
| 92D25 | Population dynamics (general) |
| 37N25 | Dynamical systems in biology |
| 35B30 | Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs |
| 26A33 | Fractional derivatives and integrals |
Keywords:
homotopy perturbation method; nonlinear fractional differential equations; predator-prey systemReferences:
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