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

被引：3
作者：
Jiao, Jianjun [1 ]
Chen, Lansun [2 ]
Cai, Shaohong [1 ]
机构：
[1] Guizhou Univ Finance & Econ, Sch Math & Stat, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China
[2] Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2012年
基金：
中国国家自然科学基金;
关键词：
predator-prey model; impulsive releasing; impulsive harvesting; extinction; permanence;
D O I：
10.1186/1687-1847-2012-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页数：15
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