Permanence and global attractivity in a discrete Lotka-Volterra predator-prey model with delays

Advances in Difference Equations

Lin Lu¹  Changjin Xu¹  Yusen Wu² 

[1] Guizhou Key Laboratory of Economics System Simulation, School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, China;School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, China

关键词: Lotka-Volterra predator-prey model;    permanence;    global attractivity;    delay;   

DOI  :  10.1186/1687-1847-2014-208

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we deal with a discrete Lotka-Volterra predator-prey model with time-varying delays. For the general non-autonomous case, sufficient conditions which ensure the permanence and global stability of the system are obtained by using differential inequality theory. For the periodic case, sufficient conditions which guarantee the existence of a unique globally stable positive periodic solution are established. The paper ends with some interesting numerical simulations that illustrate our analytical predictions. MSC:34K20, 34C25, 92D25.

【 授权许可】

CC BY