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© 2025 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.

Abstract

In this study, two discrete mosquito population-control models incorporating the Allee effect are developed to investigate the impact of different sterile mosquito release strategies. By applying the theory of difference equations, a comprehensive analysis is conducted on the existence and stability of fixed points in scenarios with and without sterile mosquito releases. Conditions for the existence and stability of positive fixed points are rigorously derived. The findings reveal that in the absence of a positive fixed point, the wild mosquito population inevitably declines to extinction. When a single positive fixed point exists, the population dynamics exhibit dependence on the initial population size, potentially leading to either extinction or stabilization. In cases where two positive fixed points are present, a bistable dynamic emerges, indicating the coexistence of two mosquito populations.

Details

Title
Study on Discrete Mosquito Population-Control Models with Allee Effect
Author
Liang, Hong 1 ; Yang, Yanhua 2 ; Zhang, Wen 1 ; Huang, Mingzhan 1 ; Zhou, Xueyong 1   VIAFID ORCID Logo 

 School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China 
 School of Information Engineering, Xinyang Agriculture and Forestry University, Xinyang 464000, China 
First page
193
Publication year
2025
Publication date
2025
Publisher
MDPI AG
e-ISSN
20751680
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
3181353864
Copyright
© 2025 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.