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Fractional-order model for biocontrol of the lesser date moth in palm trees and its discretization
Journal article   Open access  Peer reviewed

Fractional-order model for biocontrol of the lesser date moth in palm trees and its discretization

Moustafa El-Shahed, Juan J. Nieto, A. M. Ahmed and I. M. E. Abdelstar
Advances in difference equations, Vol.2017(1), pp.1-16
21/09/2017
DOI: https://doi.org/10.1186/s13662-017-1349-1

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, a fractional-order model of palm trees, the lesser date moth and the predator is presented. Existence conditions of the local asymptotic stability of the equilibrium points of the fractional system are analyzed. We prove that the positive equilibrium point is globally stable also. The numerical simulations come to illustrate the dynamical behaviors of the model such as bifurcation and chaos phenomenon, and the numerical simulations confirm the validity of our theoretical results.
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https://doi.org/10.1186/s13662-017-1349-1View
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