Dynamical analysis of a new fractional-order predator–prey system with Holling type-III functional

Advances in Difference Equations

article

Dai, Lihua¹  Wang, Junjie²  Ni, Yonggen²  Xu, Bin² 

[1] School of Mathematics and Statistics, Southwest University;Department of Mathematics and Statistics, Puer University

关键词: Fractional-order;    Predator–prey model;    Asymptotic stability;    Lyapunov functional;   

DOI  :  10.1186/s13662-020-03169-9

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we consider a new fractional-order predator–prey model with Holling type-III functional response and stage structure. Based on the Lyapunov stability theory and by constructing a suitable Lyapunov functional, we obtain some sufficient conditions for the existence and uniqueness of positive solutions and the asymptotic stability of the positive equilibrium to the system. Finally, we give some numerical examples to illustrate the feasibility of our results.

【 授权许可】

CC BY