DYNAMICS OF A FOOD CHAIN MODEL WITH RATIO-DEPENDENT AND MODIFIED LESLIE-GOWER FUNCTIONAL RESPONSES

作者：Yang Wen Bin^*; Li Yan Ling; Wu Jian Hua; Li Hai Xia

来源：Discrete and Continuous Dynamical Systems-Series B, 2015, 20(7): 2269-2290.

DOI：10.3934/dedsb.2015.20.2269

• Ratio-dependent
• Leslie-Gower
• coexistence state
• global attractor
• numerical simulation

The paper is concerned with a diffusive food chain model subject to homogeneous Robin boundary conditions, which models the trophic interactions of three levels. Using the fixed point index theory, we obtain the existence and uniqueness for coexistence states. Moreover, the existence of the global attractor and the extinction for the time-dependent model are established under certain assumptions. Some numerical simulations are done to complement the analytical results.

• 出版日期2015-9
• 单位陕西师范大学