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Dynamical analysis of fractional-order modified logistic model
Journal article   Open access  Peer reviewed

Dynamical analysis of fractional-order modified logistic model

Syed Abbas, Malay Banerjee and Shaher Momani
Computers & mathematics with applications (1987), Vol.62(3), pp.1098-1104
01/08/2011
DOI: https://doi.org/10.1016/j.camwa.2011.03.072

Abstract

Fixed point theorem Fractional differential equation Stability
In this paper, we study a fractional differential equation model of the single species multiplicative Allee effect. First we study the stability of equilibrium points. Further we give some sufficient conditions ensuring the existence and uniqueness of integral solution. In the last section we perform several numerical simulations to validate our analytical findings.
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https://doi.org/10.1016/j.camwa.2011.03.072View
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