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

Chunqing  Wu; Patricia J.Y. Wong

doi:10.3934/dcdsb.2015.20.3255

Article Contents

2015, Volume 20, Issue 9: 3255-3266. Doi: 10.3934/dcdsb.2015.20.3255

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

Chunqing Wu^1, and
Patricia J.Y. Wong^2,

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

Received: April 30, 2014

Revised: May 31, 2015

Published: October 2015

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Abstract

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].

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Mathematics Subject Classification: Primary: 39A30, 39A60.

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References

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