Dynamic analysis of a fractional-order single-species model with diffusion
Articles
Hong Li Li
Xinjiang University, China
Long Zhang
Xinjiang University, China
Cheng Hu
Xinjiang University, China
Yao Lin Jiang
Xinjiang University; Xi’an Jiaotong University, China
Zhidong Teng
Xinjiang University, China
Published 2017-05-10
https://doi.org/10.15388/NA.2017.3.2
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Keywords

uniform asymptotic stability
fractional-order
single-species model
diffusion
graph theory

How to Cite

Li H. L., Zhang L., Hu C., Jiang Y. L. and Teng Z. (2017) “Dynamic analysis of a fractional-order single-species model with diffusion”, Nonlinear Analysis: Modelling and Control, 22(3), pp. 303-316. doi: 10.15388/NA.2017.3.2.

Abstract

In this paper, we consider a fractional-order single-species model which is composed of several patches connected by diffusion. We first prove the existence, uniqueness, non-negativity and boundedness of solutions for the model, as desired in any population dynamics. Moreover, we also obtain some sufficient conditions ensuring the existence and uniform asymptotic stability of the positive equilibrium point for the investigated system. Finally, numerical simulations are presented to demonstrate the validity and feasibility of the theoretical results.

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