Abstract
In this paper, the most periodic nonautonomous diffusive food chain system of three-species is discussed. By using the comparision theorem and V-function method, the author proves the existence and uniqueness of a positive almost periodic solution and its stability under disturbances from the hull.
Similar content being viewed by others
References
Chen Lansun, Chen Jian, Nonlinear Dynamical System in Biology, Science Press, Beijing, 1993.
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.
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.
Gopalsamy, K., Global asymptotic stability in an almost periodic Lotka-Volterra system, J. Austral. Math. Soc. Ser. B, 1986, 27: 346–360.
Yoshizawa, T., Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions, Springer-Verlag, New York, Heidelberg, Berlin, 1975.
Author information
Authors and Affiliations
Additional information
This work is supported by Guangxi Provincial Education Commission Foundation.
Rights and permissions
About this article
Cite this article
Guilie, L. Almost periodic solution of a nonautonomous diffusive food chain system of three species. Appl. Math. Chin. Univ. 14, 137–143 (1999). https://doi.org/10.1007/s11766-999-0019-9
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s11766-999-0019-9