具有改进的Leslie-Grower式的Holling-Tanner模型的稳定性分析  

Limit cycles of a Holling-Tanner model with modified Leslie-Grower

作　　者：纪丽丽[1] 吴承强[1] 

机构地区：[1]福州大学数学与计算机科学学院,福建福州350108

出　　处：《福州大学学报（自然科学版）》2009年第6期771-775,797,共6页Journal of Fuzhou University(Natural Science Edition)

基　　金：福建省自然科学基金资助项目(2006J0209);福州大学科技发展基金资助项目(2005-XQ-20)

摘　　要：研究一个具有改进的Leslie-Grower式的Holling-Tanner模型.分析了该系统的平衡点性态,利用Dulac函数证明了系统在正平衡点外围不存在极限环,从而证明了正平衡点在第一象限内是全局渐近稳定的.We considered a Holling - Tanner model with modified Leslie - Grower. The existence and stability of the equilibria of the system are analyzed. It is proved that there is no limit cycle around the positive equilibra by constructing Dulac function, thus global asymptotic stability of the positive equilibria is proved in the first quadrant.

关 键 词：Honing—Tanner模型 Leslie—Grower DULAC函数 极限环 

分 类 号：O175.12[理学—数学]