| Volume 7, Number 3, 2017, Pages 1095-1111 DOI：10.11948/2017068 |
| Global analysis in delayed ratio-dependent Gause-type predator-prey models |
| Shuang Guo,Weihua Jiang,Hongbin Wang |
| Keywords:Gause-type model, ratio-dependent, permanence, global asymptotically stable, delay. |
| Abstract: |
| A class of three-dimensional delayed Gause-type predator-prey model with ratio-dependent is considered. Firstly, we present some results, including the boundedness of solutions and the permanence of system. Secondly, we construct a Lyapunov function to give the global asymptotically stable of the positive equilibrium under some parameter conditions. Finally, we analyed the influence of the time delay on the system and showed that the occurrence of small range of periodic motion. |
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