Yiqin Wang, Liujuan Chen, Haiyun Gao, Global analysis of a ratio-dependent predator-prey system incorporating a prey refuge, Vol. 2017 (2017), Article ID 54, pp. 1-26

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DOI: 10.23952/jnfa.2017.54

 

Received May 9, 2017; Accepted November 17, 2017; Published December 25, 2017

 

Abstract. In this paper, we consider a ratio-dependent predator-prey system incorporating a prey refuge. The qualitative behavior of the system at the origin in the interior of the first quadrant is studied. Using the prey refuge m as control, the global qualitative analysis of the system and conditions of the existence and the non-existence of limit cycles for the system is obtained.

 

How to Cite this Article:

Yiqin Wang, Liujuan Chen, Haiyun Gao, Global analysis of a ratio-dependent predator-prey system incorporating a prey refuge, Journal of Nonlinear Functional Analysis, Vol. 2017 (2017), Article ID 54, pp. 1-26.