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Almost periodic solutions of a discrete almost periodic logistic equation with delay

Author

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  • Li, Zhong
  • Han, Maoan
  • Chen, Fengde

Abstract

In this paper, we consider an almost periodic discrete logistic equation with delay. By constructing suitable Lyapunov functional and almost periodic functional hull theory, a sufficient condition is obtained for the existence of a unique almost periodic solution which is globally attractive. An example together with its numerical simulation shows the feasibility of our main result.

Suggested Citation

  • Li, Zhong & Han, Maoan & Chen, Fengde, 2014. "Almost periodic solutions of a discrete almost periodic logistic equation with delay," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 743-751.
    • Handle: RePEc:eee:apmaco:v:232:y:2014:i:c:p:743-751
    DOI: 10.1016/j.amc.2014.01.148
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    Cited by:

    1. Sun, Li & Zhu, Haitao & Ding, Yanhui, 2020. "Impulsive control for persistence and periodicity of logistic systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 294-305.
    2. Wang, Qiubao & Hu, Zhouyu & Yang, Yanling & Zhang, Congqing & Han, Zikun, 2023. "The impact of memory effect on time-delay logistic systems driven by a class of non-Gaussian noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    3. Liyun Lai & Zhenliang Zhu & Fengde Chen, 2020. "Stability and Bifurcation in a Predator–Prey Model with the Additive Allee Effect and the Fear Effect," Mathematics, MDPI, vol. 8(8), pages 1-21, August.

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