PERMANENCE AND THE EXISTENCE OF THE PERIODIC SOLUTION OF THE NON-AUTONOMOUS TWO-SPECIES COMPETITIVE MODEL WITH STAGE STRUCTURE

Guangzhao Zeng (), Lansun Chen (), Lihua Sun and Ying Liu
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Guangzhao Zeng: Department of Applied Mathematics, Dalian University of Technology, DaLian, LiaoNing, 116024, P. R. China;
Lansun Chen: Department of Applied Mathematics, Dalian University of Technology, DaLian, LiaoNing, 116024, P. R. China
Lihua Sun: Department of Applied Mathematics, Dalian University of Technology, DaLian, LiaoNing, 116024, P. R. China
Ying Liu: Department of Mathematics, Shaoguan University, ShaoGuan, GuangDong, 512005, P. R. China

Advances in Complex Systems (ACS), 2004, vol. 07, issue 03n04, 385-393

Abstract: This paper considers a non-autonomous competitive two-species model with stage structure in one species. The conditions of permanence obtained. Furthermore, the existence and asymptotic stability of the periodic solution are proved under some assumptions if this model turns out to be a periodic system.

Keywords: Stage structure; permanence; existence of periodic solution; asymptotic stability (search for similar items in EconPapers)
Date: 2004
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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DOI: 10.1142/S0219525904000238

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