Global asymptotical stability and persistent property for a diffusive predator-prey system with modified Leslie-Gower functional response

详细信息    查看全文

• 作者：Wensheng Yang ; ^{ywensheng@126.com}
• 关键词：Diffusive system ; Modified Leslie&ndash ; Gower functional response ; Persistence ; Global asymptotical stability
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2013
• 出版时间：June, 2013
• 年：2013
• 卷：14
• 期：3
• 页码：1323-1330
• 全文大小：205 K

文摘

A diffusive predator-prey system with modified Holling-Tanner functional response and no-flux boundary condition is considered in this work. A sufficient condition which ensures persistence of the system is obtained. Furthermore, sufficient conditions for the global asymptotical stability of the unique positive equilibrium of the system are derived by using a comparison method. It is shown that our result supplements and complements one of the main results of Shi et?al. [H.B.?Shi, W.T.?Li, G.?Lin, Positive steady states of a diffusive predator-prey system with modified Holling-Tanner functional response, Nonlinear Analysis: Real World Applications 11 (2010) 3711-3721].