Fractional Order Model in Generalist Predator--Prey Dynamics


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Authors

  • Moustafa El-Shahed Department of Mathematics, Faculty of Arts and Sceinces, Qassim University, Qassim, Unizah, Saudi Arabia
  • A. M. Ahmed Department of Mathematics, Faculty of Sciences, Al-Azhar University, Nasr City, Cairo, Egypt
  • Ibrahim M. E. Abdelstar Quantitative methods Unit, Faculty of Business & Economice, Qassim University, Qassim, Buridah, Saudi Arabia

Keywords:

Generalist predator, Fractional order, Stability, Limit cycle, Numerical method

Abstract

In this paper, we construct the fractional order generalist predator--prey dynamics model. The stability of free and positive fixed points is studied. The Adams-Bashforth-Moulton algorithm has been used to solve and simulate the system of differential equations.

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Published

01-09-2016

How to Cite

Moustafa El-Shahed, A. M. Ahmed, & Ibrahim M. E. Abdelstar. (2016). Fractional Order Model in Generalist Predator--Prey Dynamics. International Journal of Mathematics And Its Applications, 4(3 - A), 19–18. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/969

Issue

Vol. 4 No. 3 - A (2016)

Section

Research Article

License

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