Dynamical analysis of a biological resource management model with impulsive releasing and harvesting

Advances in Difference Equations

Lansun Chen¹  Shaohong Cai²  Jianjun Jiao² 

[1] Institute of Mathematics, Academy of Mathematics and System Sciences, Beijing, P. R. China;School of Mathematics and Statistics, Guizhou Key Laboratory of Economic System Simulation, Guizhou University of Finance and Economics, Guiyang, P. R. China

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

DOI  :  10.1186/1687-1847-2012-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this study, we consider a biological resource management predator-prey model with impulsive releasing and harvesting at different moments. First, we prove that all solutions of the investigated system are uniformly ultimately bounded. Second, the conditions of the globally asymptotic stability predator-extinction boundary periodic solution are obtained. Third, the permanence condition of the investigated system is also obtained. Finally, the numerical simulation verifies our results. These results provide reliable tactic basis for the biological resource management in practice.

【 授权许可】

CC BY