Dynamics of a non-autonomous ratio-dependent food chain model

作者：Zeng Zhijun^*

来源：Applied Mathematics and Computation, 2009, 215(3): 1274-1287.

DOI：10.1016/j.amc.2009.06.069

• Permanence
• Ultimate boundedness
• Extinction
• Globally asymptotic stability
• Mawhin's coincidence degree

A simple non-autonomous ratio-dependent food chain model is investigated. It is shown that the system is permanence, extinction, ultimate boundedness and globally asymptotic stability under some appropriate conditions. Moreover, by employing Mawhin's coincidence degree theory, some easily applicable criteria are established for the global existence of positive periodic solution of this model.

• 出版日期2009-10
• 单位东北师范大学