论文信息 - On neutral delay logistic gause-type predator-prey systems

On neutral delay logistic gause-type predator-prey systems

The qualitative behaviour of solutions of the neutral delay logistic Gause-type predator-prey system is investigated; sufficient conditions are obtained for the local asymptotic stability of the positive steady state of (*). in fact, some of these sufficient conditions are also necessary except at those critical values. Results on the oscillatory and non-oscillatory characteristics of the positive solutions of (*) are also included

Yang Kuang | Y. Kuang

[1] J. Hale. Theory of Functional Differential Equations , 1977 .

[2] Frederick E. Smith,et al. Population Dynamics in Daphnia magna and a New Model for Population Growth , 1963 .

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

[4] H. I. Freedman. Deterministic mathematical models in population ecology , 1982 .

[5] K. Cooke,et al. Discrete delay, distributed delay and stability switches , 1982 .

[6] K. Cooke,et al. On zeroes of some transcendental equations , 1986 .

[7] Jack K. Hale,et al. Critical cases for neutral functional differential equations , 1971 .

[8] Mustafa R. S. Kulenovic,et al. Time lags in a “food–limited” population , 1988 .

[9] Yang Kuang,et al. Boundedness of Solutions of a Nonlinear Nonautonomous Neutral Delay Equation , 1991 .

[10] Jim M Cushing,et al. Integrodifferential Equations and Delay Models in Population Dynamics , 1977 .

[11] B. G. Zhang,et al. On a neutral delay logistic equation , 1988 .

[12] Jack K. Hale,et al. Behavior near constant solutions of functional differential equations , 1974 .