Analysis of a predator-prey model with impulsive diffusion and releasing on predator population

Advances in Difference Equations

Pairote Sattayatham¹  Airen Zhou²  Jianjun Jiao² 

[1] Guizhou Key Laboratory of Economic System Simulation, School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, P.R. China;Institute of Science, School of Mathematics, Suranaree University of Technology, Nakhon, Ratchasima, Thailand

关键词: predator-prey model;    impulsive diffusion;    impulsive releasing;    extinction;    permanence;   

DOI  :  10.1186/s13662-016-0834-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we establish a predator-prey model with impulsive diffusion and releasing on predator population. This predator-prey model for two regions, which are connected by diffusion of predator population, portrays the evolvement of population. We prove that all solutions of the investigated system are uniformly ultimately bounded. We also prove that there exists globally asymptotically stable prey-extinction boundary periodic solution. The condition for permanence is obtained. Simulations are also employed to verify our results. It is discovered that the increasing diffusive rate of predator population will count against the pest management. We conclude that the impulsive diffusion and releasing predator provide reliable tactic basis for pest management.

【 授权许可】

CC BY