https://doi.org/10.1140/epjp/s13360-025-06125-2
Regular Article
Dynamic analysis of a mathematical model for wild mosquito population control: combining incompatible and sterile insect techniques
1
School of Mathematics-Physics and Finance, Anhui Polytechnic University, 241000, Wuhu, China
2
School of Sciences, Hangzhou Dianzi University, 310018, Hangzhou, China
Received:
23
November
2024
Accepted:
12
February
2025
Published online:
4
March
2025
This article modifies a mathematical dynamics model to analyze mosquito control strategies using the combined incompatible and sterile insect techniques. To regulate mosquito populations precisely, the model uses a Holling-II type proportional saturation release. The study first proves the existence of up to three equilibria and analyzes stability. It then investigates the potential saddle-node bifurcation that occurs under the threshold release rate, which is crucial for understanding mosquito population dynamics and developing an optimal control strategy. Numerical simulations confirm the accuracy of the model and show its dynamic behavior. The results suggest that by precisely controlling the release rate, mosquito population density can be effectively reduced, interrupting disease transmission chains.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
