Stability analysis of prey-predator system with Holling type functional response and prey refuge

Advances in Difference Equations

Tingting Wang¹  Zhihui Ma²  Shufan Wang³  Haopeng Tang³ 

[1] School of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou, People’School of Mathematics and Statistics, Lanzhou University, Lanzhou, People’s Republic of China

关键词: predator-prey system;    prey refuge;    stability;    limit cycle;    bifurcation;    destabilizing effect;    37C75;    34K18;    92B05;   

DOI  :  10.1186/s13662-017-1301-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, a predator-prey system with Holling type function response incorporating prey refuge is presented. By applying the analytical approaches, the dynamics behavior of the considered system is investigated, including stability, limit cycle and bifurcation. The results show that the shape of the functional response plays an important role in determining the dynamics of the system. Especially, the interesting conclusion is that the prey refuge has a destabilizing effect under some certain conditions.

【 授权许可】

CC BY