Global exponential stability of positive almost periodic solutions for a class of two-layer Gilpin–Ayala predator–prey model with time delays

Advances in Difference Equations

Kaihong Zhao¹ 

[1] Department of Applied Mathematics, Kunming University of Science and Technology;

关键词: Two-layer Gilpin–Ayala predator–prey model;    Positive almost periodic solutions;    Global exponential stability;    Coincidence degree theory;    Lyapunov functional;   

DOI  :  10.1186/s13662-018-1584-0

来源: DOAJ

【 摘 要 】

Abstract This paper mainly considers a class of two-layer Gilpin–Ayala predator–prey models with time delays. By means of Mawhin’s continuation theorem of coincidence degree theory, some new sufficient criteria for the existence of positive almost periodic solutions have been established. We also obtain the global exponential stability of the positive almost periodic solution for this system by constructing appropriate Lyapunov functionals and smart transformations. As an application, an example is given to illustrate the validity of our main results.

【 授权许可】

Unknown