Analytical Solutions of the Predator–Prey Model with Fractional Derivative Order via Applications of Three Modified Mathematical Methods

Author:

Areshi Mounirah1,Seadawy Aly R.2ORCID,Ali Asghar3,Alharbi Amal F.4,Aljohani Abdulrahman F.1ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia

2. Mathematics Department, Faculty of Science, Taibah University, P.O. Box 344, Al-Madinah Al-Munawarah 41411, Saudi Arabia

3. Department of Mathematics, University of Education, Multan Campus, Lahore 54000, Pakistan

4. Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Abstract

We have investigated wave solutions of the Predator–Prey (PP) model with fractional derivative order by novel three modified mathematical methods with the help of the Mathematica platform. The derived solutions are in the form of distinct functions such as trigonometric, hyperbolic, exponential and rational functional. For the physical phenomena of fractional model, some solutions are plotted in 2-dimensional and 3-dimensional by inserting specific values to attached parameters under sufficient condition on each solution. Hence, proposed schemes are enormously superbly mathematical tools to review wave solutions of several fractional models in nonlinear science.

Funder

Deanship of Scientific Research (DSR), University of Tabuk, Tabuk, Saudi Arabia

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

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