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Dynamics of the Non-autonomous Boy-After-Girl System

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Abstract

In this paper, the non-autonomous boy after girl dynamical system was investigated. For the general case, we study some properties such as non-persistence, ultimately boundedness, permanence and globally asymptotical stability. For the periodic case, we study the existence of a periodic solution. For the almost periodic case, we study the existence, uniqueness and stability of almost periodic solution. Finally, we introduce several examples and their numerical simulations to verify our theoretical results.

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Acknowledgements

This paper was jointly supported from the National Natural Science Foundation of China under Grant (No. 11671176, 11931016), Natural Science Foundation of Zhejiang Province under Grant (No. LY20A010016).

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Authors and Affiliations

  1. Department of mathematics, College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua, 321004, China

    Salam M. Ghazi Al-Mohanna & Yong-Hui Xia

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  1. Salam M. Ghazi Al-Mohanna
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  2. Yong-Hui Xia
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Correspondence to Yong-Hui Xia.

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Al-Mohanna, S.M.G., Xia, YH. Dynamics of the Non-autonomous Boy-After-Girl System. Qual. Theory Dyn. Syst. 21, 52 (2022). https://doi.org/10.1007/s12346-022-00586-x

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