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Existence and exponential stability of almost periodic positive solution for host-macroparasite difference model

Existence and exponential stability of almost periodic positive solution for host-macroparasite difference model
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摘要 This paper is concerned with a host-macroparasite difference model. By applying the con- traction mapping fixed point theorem, we prove the existence of unique almost periodic positive solution. Moreover, we investigate the exponential stability of Mmost periodic solution by means of Lyapunov functional.
作者 Zhijian Yao
出处 《International Journal of Biomathematics》 2016年第2期187-197,共11页 生物数学学报(英文版)
基金 The author thanks the referees for their valuable comments and suggestions in improving the presentation of the manuscript. This work is supported by Natural Science Foundation of Education Department of Anhui Province (KJ2014A043).
关键词 Host-macroparasite difference model almost periodic solution exponential stability contraction mapping. 指数稳定性 概周期正解 Lyapunov泛函方法 模型 主机 正解的存在性 不动点定理 周期解
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  • 1R. P. Agarwal, Difference Equations and Inequalities: Theory, Methods and Applications, 2nd edn., Monographs and Textbooks in Pure and Applied Mathematics, Vol. 228 (Marcel Dekker, New York, 2000).
  • 2R. P. Agarwal and P. J. Y. Wong, Advanced Topics in Difference Equations (Kluwer Academic, Dordrecht, 1997).
  • 3D. Cheban and C. Mammana, Invariant manifolds, global attractors and almost periodic solutions of nonautonomous difference equations, Nonlinear Anal. 56(4) (2004) 465-484.
  • 4E. M. Elabbasy, K. Saif and S. H. Saker, Oscillation in host-macroparasite model with delay time, Far East J. Appl. Math. 4 (2000) 119-142.
  • 5S. Elayadi, An Introduction to Difference Equations, 3rd edn. (Springer, New York, 2005).
  • 6M. Fan and K. Wang, Global existence of positive periodic solutions of periodic predator-prey system with infinite delays, J. Math. Anal. Appl. 262(1) (2001) 1-11.
  • 7A. Fink, Almost Periodic Differential Equations, Lecture Notes in Mathematics, Vol. 377 (Springer, Berlin, 1974).
  • 8N. G. Hairston, On the mathematical analysis of schistosome population, Bull. World Health Organization 33 (1965) 45-62.
  • 9C. Y. He, Almost Periodic Differential Equations (Higher Education Press, Beijing, 1992).
  • 10V. A. Kostitzin, Symbiose, Parasitisme et Evolution (Hermann and Cie, Paris, 1943).

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