| Persistence and Global Stability for Two-Species Predator-Prey System With Diffusion |
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| 作者姓名： | LIU He\|long \ WU Jin\|gang Dept. of Math. Xinyang Teacher′s College Xinyang China |
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| 作者单位： | LIU He\|long，\ WU Jin\|gang Dept. of Math.，Xinyang Teacher′s College，Xinyang 464000，China |
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| 摘 要： | 1 IntroductionOneofthemostinterestingquestionsinmathematicalbiologyconcernsthesurvivalofspeciesinecologicalmodels.Inthispaper,weconsideranonautonomoussystemcomposedoftwospeciespredator-preywithdiffusion.Levin1]firstestablishedthiskindofmode-labouta...
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Persistence and Global Stability for Two-Species Predator-Prey System With Diffusion |
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| Abstract: | 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. |
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| Keywords: | diffusion persistent periodic orbit global asymptotic stability |
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