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ON THE NONAUTONOMOUS PREDATOR-PREY LOTKA-VOLTERRA DIFFUSION SYSTEMS

ON THE NONAUTONOMOUS PREDATOR-PREY LOTKA-VOLTERRA DIFFUSION SYSTEMS
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摘要 In the present paper,the nonautonomous two-species Predator-Prey models with diffusion are considered. Prey species can diffuse between two patches, while the predator species is confined to one patch and cannot diffuse. It is proved that if the coefficients satisfy certain inequalities,then the system can be made persistent and have a strictly positive periodic orbit which is glotally asymptotically stable. In the present paper,the nonautonomous two-species Predator-Prey models with diffusion are considered. Prey species can diffuse between two patches, while the predator species is confined to one patch and cannot diffuse. It is proved that if the coefficients satisfy certain inequalities,then the system can be made persistent and have a strictly positive periodic orbit which is glotally asymptotically stable.
作者 宋新宇
出处 《数学物理学报(A辑)》 CSCD 北大核心 1997年第S1期200-205,共6页 Acta Mathematica Scientia
关键词 PERSISTENCE UNIQUENESS of periodic orbit global asymptotic stability Persistence, uniqueness of periodic orbit, global asymptotic stability
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