# American Institute of Mathematical Sciences

November  2015, 20(9): 3255-3266. doi: 10.3934/dcdsb.2015.20.3255

## Global asymptotical stability of the coexistence fixed point of a Ricker-type competitive model

 1 School of Mathematics and Physics, Changzhou University, Changzhou, 213164, China 2 School of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore

Received  May 2014 Revised  June 2015 Published  September 2015

We shall obtain the parameter region that ensures the global asymptotical stability of the coexistence fixed point of a Ricker-type competitive model. The parameter region can be illustrated graphically and examples of such regions are presented. Our result partially answers an open problem proposed by Elaydi and Luís [3] and complements the very recent work by Balreira, Elaydi and Luís [1].
Citation: Chunqing Wu, Patricia J.Y. Wong. Global asymptotical stability of the coexistence fixed point of a Ricker-type competitive model. Discrete & Continuous Dynamical Systems - B, 2015, 20 (9) : 3255-3266. doi: 10.3934/dcdsb.2015.20.3255
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##### References:
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