Almost periodic solution of a nonautonomous diffusive food chain system of three species. (English) Zbl 0939.34037
Here, an almost-periodic nonautonomous diffusive food chain system of three-species is discussed. By using the comparison theorem and V-function method, the author proves existence and uniqueness of a positive almost-periodic solution, and its stability under disturbances from the hull.
Reviewer: Chen Lan Sun (Beijing)
MSC:
| 34C27 | Almost and pseudo-almost periodic solutions to ordinary differential equations |
| 92D25 | Population dynamics (general) |
References:
| [1] | Chen Lansun, Chen Jian, Nonlinear Dynamical System in Biology, Science Press, Beijing, 1993. · Zbl 0788.34051 |
| [2] | Zeng, G. Z., Chen, L. S., Chen, J. F., Persistence and periodic orbits for two-species nonautonomous diffusion Lotka-Volterra models, Math. Comput. Modelling, 1994, 20(12): 69–80. · Zbl 0827.34040 · doi:10.1016/0895-7177(94)90125-2 |
| [3] | Luo Guilie, Liao Mingli, Jiang Youling, Almost periodic solution of a nonautonomous single species competition model with diffusion, J. Biomath., 1996, 11 (1), 42–49. · Zbl 0848.92016 |
| [4] | Gopalsamy, K., Global asymptotic stability in an almost periodic Lotka-Volterra system, J. Austral. Math. Soc. Ser. B, 1986, 27: 346–360. · Zbl 0591.92022 · doi:10.1017/S0334270000004975 |
| [5] | Yoshizawa, T., Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions, Springer-Verlag, New York, Heidelberg, Berlin, 1975. · Zbl 0304.34051 |
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