论文信息 - Scenarios Leading to Chaos in a Forced Lotka-Volterra Model

Scenarios Leading to Chaos in a Forced Lotka-Volterra Model

A predator·prey ecosystem is proposed to investigate roads to chaos in a differential system. In this model, Malthusian rate of prey is driven by a periodic external force. Feigenbaum scenarios and a torus to chaos with frequency locking as 1 ... torus'" 5'" chaos'" 4'" chaos'" 3'" chaos'" 5'" chaos'" 4'" 2 are obser· ved numerically and their scaling properties and multi· basins are investigated.

Masayoshi Inoue | M. Inoue | Hiroshi Kamifukumoto | Hiroshi Kamifukumoto

[1] M. Rosenzweig. Paradox of Enrichment: Destabilization of Exploitation Ecosystems in Ecological Time , 1971, Science.

[2] S. Smale. On the differential equations of species in competition , 1976, Journal of mathematical biology.

[3] A. Nicholson,et al. The Self-Adjustment of Populations to Change , 1957 .

[4] G. F. Gause. The struggle for existence , 1971 .

[5] Grégoire Nicolis,et al. Self-Organization in nonequilibrium systems , 1977 .

[6] R M May,et al. Biological Populations with Nonoverlapping Generations: Stable Points, Stable Cycles, and Chaos , 1974, Science.

[7] G. E. Hutchinson,et al. CIRCULAR CAUSAL SYSTEMS IN ECOLOGY , 1948, Annals of the New York Academy of Sciences.

[8] Robert M. May,et al. Limit Cycles in Predator-Prey Communities , 1972, Science.

[9] H. Fujita,et al. The Effect of Population Density on the Growth of an Animal Polution , 1953 .

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