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Dynamic Analysis of A Non-autonomous Ratio-dependent predator-prey model with Additional Food
Jie Song,Mi Hu,Yuzhen Bai,Yonghui Xia
Keywords:on-autonomous predator-prey model; permanence; periodic solutions; almost periodic solutions
      In this paper, a non-autonomous ratio-dependent three species predator-prey system with additional food to top predator was proposed. The permanence of the model is obtained. Based on the continuation theorem, the sufficient conditions for the existence of a periodic solution are obtained. By using the method of Liapunov function, we prove that the system exists a unique positive almost periodic solution under some certain conditions.