论文信息 - Global stability in time-delayed single-species dynamics

Global stability in time-delayed single-species dynamics

Criteria are established for three classes of models of single-species dynamics with a single discrete delay to have a globally asymptotically stable positive equilibrium independent of the length of delay.

H. I. Freedman | K. Gopalsamy | K. Gopalsamy

[1] H. I. Freedman,et al. The trade-off between mutual interference and time lags in predator-prey systems , 1983 .

[2] R. Sokal,et al. Oscillations in Housefly Population Sizes Due to Time Lags , 1976 .

[3] H. Caswell,et al. A simulation study of a time lag population model. , 1972, Journal of theoretical biology.

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

[5] J. R. Haddock,et al. Liapunov-Razumikhin functions and an invariance principle for functional differential equations , 1983 .

[6] S. P. Blythe,et al. Nicholson's blowflies revisited , 1980, Nature.

[7] P J Wangersky,et al. ON TIME LAGS IN EQUATIONS OF GROWTH. , 1956, Proceedings of the National Academy of Sciences of the United States of America.

[8] William Gurney,et al. Instability and complex dynamic behaviour in population models with long time delays , 1982 .

[9] J M Cushing,et al. Model stability and instability in age structured populations. , 1980, Journal of theoretical biology.

[10] P. B. Kahn,et al. Averaging methods in the delayed-logistic equation , 1980 .

[11] L. Nunney. Resource Recovery Time: Just How Destabilizing is It? , 1983 .

[12] Robert M. May,et al. Time delays are not necessarily destabilizing , 1975 .

[13] P. B. Kahn,et al. Random effects in population models with hereditary effects , 1980 .