Stability Analysis for Two Kinds of Equations in Two-Species Population Dynamics

Wang Fu-jun

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Wang Fu-jun. Stability Analysis for Two Kinds of Equations in Two-Species Population Dynamics[J]. Applied Mathematics and Mechanics, 1991, 12(10): 951-955.

Citation:

Wang Fu-jun. Stability Analysis for Two Kinds of Equations in Two-Species Population Dynamics[J]. Applied Mathematics and Mechanics, 1991, 12(10): 951-955.

Citation:

Wang Fu-jun. Stability Analysis for Two Kinds of Equations in Two-Species Population Dynamics[J]. Applied Mathematics and Mechanics, 1991, 12(10): 951-955.

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Stability Analysis for Two Kinds of Equations in Two-Species Population Dynamics

Wang Fu-jun

East China Normal University, Shanghai

Received Date: 1990-06-20
Publish Date: 1991-10-15

Abstract

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.
- predator,
- prey,
- patch,
- population,
- stability

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References(5)

References

[1]	Diekmann,Odo,The Dynamics of Pysiologically Siructured Populations,Springer-Verlag,New York(1986).
[2]	叶彦谦.《极限环论》,科技出版社,上海(1984).
[3]	Cushing,J.,Integral Differential Equation and Delay Models in Population Dynamics,Springer-Verlag(1977).
[4]	May,R.,Theoretical Ecology,Blackwell Scientific,Publication Oxford(1981).
[5]	Goh,J.,The global stability of two species models,J.Mathematical Biology,2(1976).