On the Stability Analysis and Solutions of Fractional Order Pine Wilt Disease Model

Authors

A. M. A. El-Sayed, Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, EgyptFollow
S. Z. Rida, Department of Mathematics, Faculty of Science, South Valley University, Qena, EgyptFollow
Y. A. Gaber, Department of Mathematics, Faculty of Science, South Valley University, Qena, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

In this paper, we present the fractional order model (FOM) for the spread of the PWD. We show that this model possesses non-negative solutions as desired in any population dynamics. We compute the basic reproduction number R0 and illustrate the equilibrium points (EPs) as well as their stability of this model. We apply The Natural-Adomian decomposition method (N-ADM) and fractional Euler method (FEM) to solve this model. The results are compared with those obtained by classical Rung-Kutta (RK4) method in the case of integer order.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140620

Recommended Citation

M. A. El-Sayed, A.; Z. Rida, S.; and A. Gaber, Y. (2020) "On the Stability Analysis and Solutions of Fractional Order Pine Wilt Disease Model," Applied Mathematics & Information Sciences: Vol. 14: Iss. 6, Article 20.
DOI: http://dx.doi.org/10.18576/amis/140620
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss6/20