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Persistence and Global Stability for Two-Species Predator-Prey System With Diffusion 被引量:2

Persistence and Global Stability for Two-Species Predator-Prey System With Diffusion
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摘要 In this paper, a predator\|prey model with diffusion is studied. The system, which is composed of two Lotka\|Volterra patches, has two species: one can diffuse between two patches, while the other is confined to one patch and can not diffuse. It is proved that the system can be made persistent. Further more, sufficient conditions are established for the global stability of the system. In this paper, a predator\|prey model with diffusion is studied. The system, which is composed of two Lotka\|Volterra patches, has two species: one can diffuse between two patches, while the other is confined to one patch and can not diffuse. It is proved that the system can be made persistent. Further more, sufficient conditions are established for the global stability of the system.
出处 《Systems Science and Systems Engineering》 CSCD 1999年第4期108-115,共8页 系统科学与系统工程学报(英文版)
关键词 DIFFUSION PERSISTENT periodic orbit global asymptotic stability diffusion persistent periodic orbit global asymptotic stability
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