Dynamics of a delayed discrete semi-ratio-dependent predator-prey system with Holling type IV functional response

Advances in Difference Equations

Weiguo Wang¹  Hongying Lu² 

[1] Economics, Dalian, Liaoning, China;School of Mathematics and Quantitative Economics, Dongbei University of Finance &

关键词: Discrete;    Semi-ratio-dependent;    Holling type IV functional response;    Permanence;    Global attractivity;   

DOI  :  10.1186/1687-1847-2011-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

A discrete semi-ratio-dependent predator-prey system with Holling type IV functional response and time delay is investigated. It is proved the general nonautonomous system is permanent and globally attractive under some appropriate conditions. Furthermore, if the system is periodic one, some sufficient conditions are established, which guarantee the existence and global attractivity of positive periodic solutions. We show that the conditions for the permanence of the system and the global attractivity of positive periodic solutions depend on the delay, so, we call it profitless.

【 授权许可】

CC BY