An Efficient Approach for Solving Fractional Dynamics of a Predator-Prey System

Hegagi Mohamed Ali and Ismail Gad Ameen

Modern Applied Science, 2019, vol. 13, issue 11, 116

Abstract: In this work, we execute a generally new analytical technique, the modified generalized Mittag-Leffler function method (MGMLFM) for solving nonlinear partial differential equations containing fractional derivative emerging in predator-prey biological population dynamics system. This dynamics system are given by a set of fractional differential equations in the Caputo sense. A new solution is constructed in a power series. The stability of equilibrium points is studied. Moreover, numerical solutions for different cases are given and the methodology is displayed. We conducted a comparing between the results obtained by our method with the results obtained by other methods to illustrate the reliability and effectiveness of our main results.

Date: 2019
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