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Existence and Stability of Pseudo Almost Periodic Solutions for a Delayed Multispecies Logarithmic Population Model with Feedback Control

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Abstract

This paper studies a delayed multispecies Logarithmic population model with feedback control. By using Krasnoselskii’s fixed point theorem and constructing Lyapunov functions, we obtain some sufficient conditions which guarantee the existence and the exponential stability of the pseudo almost periodic solutions. Meanwhile, a numerical example is also given to illustrate the feasibility of the obtained results.

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Funding

This research is supported by the National Natural Science Foundation of China (Nos. 11771197 and 11971317), the Natural Science Foundation of Fujian Province of China (No. 2019J01064), and the Scientific Research Funds of Huaqiao University.

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Authors and Affiliations

  1. School of Mathematical Sciences, Huaqiao University, Quanzhou, 362021, China

    Yi Wu & Shengfu Deng

  2. Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, China

    Yonghui Xia

Authors
  1. Yi Wu
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  2. Yonghui Xia
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  3. Shengfu Deng
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Correspondence to Shengfu Deng.

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Wu, Y., Xia, Y. & Deng, S. Existence and Stability of Pseudo Almost Periodic Solutions for a Delayed Multispecies Logarithmic Population Model with Feedback Control. Qual. Theory Dyn. Syst. 20, 6 (2021). https://doi.org/10.1007/s12346-020-00445-7

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