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

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. Fo...

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Bibliographic Details
Published in:Qualitative theory of dynamical systems 2022-06, Vol.21 (2), Article 52
Main Authors: Al-Mohanna, Salam M. Ghazi, Xia, Yong-Hui
Format: Article
Language:English
Subjects:
Difference and Functional Equations
Dynamical systems
Dynamical Systems and Ergodic Theory
Mathematics
Mathematics and Statistics
Stability
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Summary: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.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-022-00586-x