Existence of the non-constant steady states to a fractional diffusion predator-prey system including Holling type-II functional response

Advances in Difference Equations

Chenglin Li¹ 

[1] School of Mathematics, Honghe University, Mengzi, P.R. China

关键词: fractional diffusion;    stability;    steady states;   

DOI  :  10.1186/s13662-017-1189-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with a fractional diffusion predator-prey system with Holling type-II functional response in a bounded domain with no flux boundary condition. The local and global stabilities are investigated and sufficient conditions of stabilities are obtained. The existence of the non-constant steady states is considered and the sufficient conditions of the existence for the non-constant steady states are also obtained. The results show that the predator and the prey can coexist under some suitable conditions with fractional diffusion.

【 授权许可】

CC BY