周期二维Lotka-Volterra系统的一些新结果

Abstract

Abstract: In this paper, we study the boundedness and persistence of solutions and the existence and global stability of positive periodic solution for two dimensional periodic Lotka-Volterra predator-prey systems. Afterwards, we extend the obtained results to two dimensional periodic Lotka-Volterra predator-prey systems with prey supplement and two dimensional periodic Lotka-Volterra competition systems. A series of new cirteria are obtained. The main results in[1-3]are improved and extended.

Key words: Periodic environment, Lotka-Volterra system, Borndedness, Persistence, Positive periodic solution, Global statility

Teng Zhidong. Some new Results of two Dimensional Periodic Lotka-Volterra Systems[J].Acta mathematica scientia,Series A, 1998, 18(2): 169-175.

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Some new Results of two Dimensional Periodic Lotka-Volterra Systems

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