All Issues

Vol.8, 2018
Vol.7, 2017
Vol.6, 2016
Vol.5, 2015
Vol.4, 2014
Vol.3, 2013
Vol.2, 2012
Vol.1, 2011
Dynamic Analysis of A Non-autonomous Ratio-dependent predator-prey model with Additional Food
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.