Existence and global attractivity of positive periodic solutions for a Holling II two-prey one-predator system

Advances in Difference Equations

Yuanfu Shao²  Changjin Xu³  Peiluan Li⁴ 

[1] Department of Mathematics and Physics, Guilin University of Technology, Guilin, People'Department of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, People'Guizhou Key Laboratory of Economics System Simulation, School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, People's Republic of China

关键词: Predator-prey system;    periodic solution;    Holling II functional response;    coincidence degree theory;    global attractivity;   

DOI  :  10.1186/1687-1847-2012-84

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, a Holling II two-pery one-predator system is investigated. Based on the continuation theorem of coincidence degree theory and by constructing a suitable Lyapunov function, we derive a set of sufficient conditions that guarantee the existence of at least a positive periodic solution and global attractivity of periodic solutions. Mathematics Subject Classification 2000: 34K20; 34C25.

【 授权许可】

CC BY