STABILITY ANALYSIS FOR TWO KINDS OF EQUATIONS IN TWO-SPECIES POPULATION DYNAMICS

Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (10): 1017-1021.

STABILITY ANALYSIS FOR TWO KINDS OF EQUATIONS IN TWO-SPECIES POPULATION DYNAMICS

王辅俊

East China Normal University, Shanghai

收稿日期:1990-06-20 出版日期:1991-10-18 发布日期:1991-10-18

STABILITY ANALYSIS FOR TWO KINDS OF EQUATIONS IN TWO-SPECIES POPULATION DYNAMICS

Wang Fu-jun

East China Normal University, Shanghai

Received:1990-06-20 Online:1991-10-18 Published:1991-10-18

摘要/Abstract

摘要： In this paper we study the stability for equilibrium points of equations in two-population dynamics. We discuss two predator-prey-patch models. Model 1 is described by a differential equation. Model 2 is described by an integral differential equation. We obtain the conditions for the stability of their equilibrium points. The results show that the overall population stability despite local extinction is realizable.

关键词: predator, prey, patch, population, stability

Abstract: In this paper we study the stability for equilibrium points of equations in two-population dynamics. We discuss two predator-prey-patch models. Model 1 is described by a differential equation. Model 2 is described by an integral differential equation. We obtain the conditions for the stability of their equilibrium points. The results show that the overall population stability despite local extinction is realizable.

Key words: predator, prey, patch, population, stability

王辅俊. STABILITY ANALYSIS FOR TWO KINDS OF EQUATIONS IN TWO-SPECIES POPULATION DYNAMICS[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(10): 1017-1021.

Wang Fu-jun. STABILITY ANALYSIS FOR TWO KINDS OF EQUATIONS IN TWO-SPECIES POPULATION DYNAMICS[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(10): 1017-1021.

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STABILITY ANALYSIS FOR TWO KINDS OF EQUATIONS IN TWO-SPECIES POPULATION DYNAMICS

STABILITY ANALYSIS FOR TWO KINDS OF EQUATIONS IN TWO-SPECIES POPULATION DYNAMICS

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