Ding Sun-hong. Global Structure of a Kind of Predator-Prey System[J]. Applied Mathematics and Mechanics, 1988, 9(10): 939-943.
Citation: Ding Sun-hong. Global Structure of a Kind of Predator-Prey System[J]. Applied Mathematics and Mechanics, 1988, 9(10): 939-943.

Global Structure of a Kind of Predator-Prey System

  • Received Date: 1985-10-13
  • Publish Date: 1988-10-15
  • In this paper we prove a theorem, theorem 2, on nonexistence of closed trajectory for a general predator-prey system.Then, using this theorem and another theorem on existence and uniqueness of limit cycle for predator-prey system[1], we complete the investigation of a concrete model of predator-prey system[2]

    under the conditions of all kinds of parameters.
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  • [1]
    丁孙荭,捕食者-食饵(predator-prey)系统极限环的唯一性,科学通报,13 (1985),785-788.
    [2]
    Hsu, S.B., S.P. Hubbell and P. Waltman, Competing predator, SIAM, J. Appl. Math., 85(1978), 617-625.
    [3]
    Hastings, Alan, Global stability of two species systems, J. Math. Biology, 5(1978), 399-403.
    [4]
    Cheng Kuo-sheng, Uniqueness of limit cycle for a predator-prey system, SIAM, J. Math. Anal, 12, 4(1981), 541-548.
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