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ASYMPTOTIC BEHAVIOR OF NONAUTOMOMOUSDIFFUSIVE LOTKA-VOLTERRA MODEL 被引量:11

ASYMPTOTIC BEHAVIOR OF NONAUTONOMOUS DIFFUSIVE LOTKA-VOLTERRA MODEL
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摘要 The purpose of this paper is to investigate the asymptotic behavior of apredator-prey model. The model is composed of two patches. The system has two species:one can dense between the tWo patches, but the other is confined to one of the patches andcannot diffuse. It is proved that the system is globally stable under appropriate conditions. The purpose of this paper is to investigate the asymptotic behavior of apredator-prey model. The model is composed of two patches. The system has two species:one can dense between the tWo patches, but the other is confined to one of the patches andcannot diffuse. It is proved that the system is globally stable under appropriate conditions.
出处 《Systems Science and Mathematical Sciences》 SCIE EI CSCD 1998年第2期107-111,共5页
关键词 DIFFUSION RATE ultimately BOUNDED DOMAIN GLOBAL stability. Diffusion rate, ultimately bounded domain, global stability.
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  • 1Y. Takeuchi. Cooperative systems theory and global stability of diffusion models[J] 1989,Acta Applicandae Mathematicae(1-2):49~57

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