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Volume 16
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10.3390/sym16101399
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Article

New Results Regarding Positive Periodic Solutions of Generalized Leslie–Gower-Type Population Models

by
Axiu Shu
1,
Xiaoliang Li
2,* and
Bo Du
3,*
1
Department of Mathematics and Physics, Anqing Normal University, Anqing 246133, China
2
Jiyang College, Zhejiang Agriculture and Forestry University, Zhuji 311800, China
3
School of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, China
*
Authors to whom correspondence should be addressed.
Symmetry 2024, 16(10), 1399; https://doi.org/10.3390/sym16101399
Submission received: 28 September 2024 / Revised: 10 October 2024 / Accepted: 17 October 2024 / Published: 21 October 2024
(This article belongs to the Special Issue The Advances of Nonlinear Equations: Mathematical Models, Symmetry and Applications)
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Abstract

In this paper, we focus on the existence of positive periodic solutions of generalized Leslie–Gower-type population models. Using the topological degree, we provide sufficient conditions to demonstrate the existence of positive periodic solutions to the considered models. It is interesting that the positive periodic solutions in this paper are general positive functions, not e exponential functions, which generalizes and improves the existing results. We note that due to the symmetrical property of periodic solutions, the results of this paper provide a deeper understanding of the periodic behavior of biological populations. Two numerical examples show the effectiveness of our main results.
Keywords: Leslie–Gower-type population models; topological degree; periodic solutions; existence Leslie–Gower-type population models; topological degree; periodic solutions; existence

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MDPI and ACS Style

Shu, A.; Li, X.; Du, B. New Results Regarding Positive Periodic Solutions of Generalized Leslie–Gower-Type Population Models. Symmetry 2024, 16, 1399. https://doi.org/10.3390/sym16101399

AMA Style

Shu A, Li X, Du B. New Results Regarding Positive Periodic Solutions of Generalized Leslie–Gower-Type Population Models. Symmetry. 2024; 16(10):1399. https://doi.org/10.3390/sym16101399

Chicago/Turabian Style

Shu, Axiu, Xiaoliang Li, and Bo Du. 2024. "New Results Regarding Positive Periodic Solutions of Generalized Leslie–Gower-Type Population Models" Symmetry 16, no. 10: 1399. https://doi.org/10.3390/sym16101399

APA Style

Shu, A., Li, X., & Du, B. (2024). New Results Regarding Positive Periodic Solutions of Generalized Leslie–Gower-Type Population Models. Symmetry, 16(10), 1399. https://doi.org/10.3390/sym16101399

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