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Zbl 1228.34008
Abbas, Syed; Banerjee, Malay; Momani, Shaher
Dynamical analysis of fractional-order modified logistic model. (English)
[J] Comput. Math. Appl. 62, No. 3, 1098-1104 (2011). ISSN 0898-1221

Summary: 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.
MSC 2000:
*34A08
34C60 Applications of qualitative theory of ODE
45J05 Integro-ordinary differential equations
92D25 Population dynamics

Keywords: fractional differential equation; fixed point theorem; stability

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