Dynamical analysis of fractional-order modified logistic model

Authors:
Syed Abbas;Malay Banerjee;Shaher Momani
Affiliations:
School of Basic Sciences, Indian Institute of Technology Mandi, Mandi, Himachal Pradesh - 175001, India;Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh - 208016, India;Department of Mathematics, The University of Jordan, Amman 11942, Jordan
Venue:
Computers & Mathematics with Applications
Year:
2011

Citing 3
Cited 0

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Abstract

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.