论文信息 - On Global Stability of a Predator-Prey System

On Global Stability of a Predator-Prey System

A two-dimensional model for predator-prey interaction is proposed. Two criteria for global stability of the locally stable equilibrium are presented. These make the graphical method of Rosenzweig and MacArthur more significant.

Sze-Bi Hsu | S. Hsu

[1] P. A. Labine,et al. A Teaching Model of Population Interactions: An Algae-Daphnia-Predator System , 1973 .

[2] M. Rosenzweig,et al. Why the Prey Curve Has a Hump , 1969, The American Naturalist.

[3] R. Macarthur,et al. Graphical Representation and Stability Conditions of Predator-Prey Interactions , 1963, The American Naturalist.

[4] William W. Murdoch,et al. Functional Response and Stability in Predator-Prey Systems , 1975, The American Naturalist.

[5] J. P. Lasalle. Some Extensions of Liapunov's Second Method , 1960 .

[6] G. F. Gause,et al. Further Studies of Interaction between Predators and Prey , 1936 .

[7] John Maynard Smith. Models in ecology , 1974 .

[8] R. May,et al. Stability and Complexity in Model Ecosystems , 1976, IEEE Transactions on Systems, Man, and Cybernetics.

[9] B. Goh. Global Stability in Many-Species Systems , 1977, The American Naturalist.

[10] H. I. Freedman. Graphical stability, enrichment, and pest control by a natural enemy , 1976 .