Global Structure of a Kind of Predator-Prey System

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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.

Citation:

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

Abstract

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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[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.