Stability analysis of a fractional-order two-species facultative mutualism model with harvesting

Advances in Difference Equations

Sompop Moonchai¹  Nattakan Supajaidee² 

[1] Center of Excellence in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, Thailand;Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, Thailand

关键词: fractional differential equations;    stability analysis;    mutualism model;    Caputo fractional derivative;    Lyapunov function;   

DOI  :  10.1186/s13662-017-1430-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We present a fractional-order model of two-species facultative mutualism with harvesting. We investigate the stability of the equilibrium points of the model by using the linearization method for noncoexistence of equilibrium points and the Lyapunov direct method for the positive coexistence of an equilibrium point. In addition, we obtain sufficient conditions to ensure the local asymptotic stability and global uniform asymptotic stability for the model. Finally, we provide illustrated numerical examples to verify the stability results obtained in this study.

【 授权许可】

CC BY