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Dynamical analysis of fractional-order modified logistic model. (English) Zbl 1228.34008
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:
34A08Fractional differential equations
34C60Qualitative investigation and simulation of models (ODE)
45J05Integro-ordinary differential equations
92D25Population dynamics (general)
References:
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