Existence of positive periodic solutions for a generalized predator-prey model with diffusion feedback controls

Advances in Difference Equations

Chaoxiong Du¹  Yusen Wu² 

[1] Department of Mathematics, Shaoyang University, Shaoyang, P.R. China;School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, P.R. China

关键词: prey-predator model;    diffusion;    positive periodic solution;    coincidence degree;   

DOI  :  10.1186/1687-1847-2013-52

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By employing the continuation theorem of coincidence degree theory, we derive a sufficient condition for the existence and attractivity of at least a positive periodic solution of the generalized predator-prey model with exploited term. MSC:92D25, 34C25, 34K15.

【 授权许可】

CC BY