Acta mathematica scientia,Series A ›› 1998, Vol. 18 ›› Issue (4): 402-406.

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Necessary and Sufficient Conditions for Existence of Positive Periodic Solutions of Periodic Predator-Prey Systems

Teng Zhidong1, Chen Lansun2   

  1. 1. Department of Mathematics, Xinjiang University, Urumqi 830046;
    2. Institute of Mathematics, Academia Sinica, Beijing 100080
  • Received:1996-12-16 Revised:1997-04-07 Online:1998-12-26 Published:1998-12-26

Abstract: In this paper,the periodic Lotka-Volterra predator-prey systems are studied. Applying the method of bifurcation theory and differential inequality principle a necessary and sufficient criterion for existence of positive periodic solutions is established. Main results in[l-4] are summarized and extended.

Key words: Periodic environment, Predator-prey system, Positive periodic solution, Bifurcation theory

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