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


  •  Hegagi Mohamed Ali    
  •  Ismail Gad Ameen    

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.



This work is licensed under a Creative Commons Attribution 4.0 License.
  • ISSN(Print): 1913-1844
  • ISSN(Online): 1913-1852
  • Started: 2007
  • Frequency: monthly

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