Study on the Logistic Model of Mosquito Population Involving Caputo-Fabrizio Fractional Derivative

Authors

  • Zhongyuan Wang, Wei Zhang and Di Zhang School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan, 232001, China Author

Abstract

This study extends the logistic model, which describes the population dynamics of wild female mosquitoes in the absence of intervention by Wolbachia-infected male mosquitoes, to the case involving fractional derivative. A novel fractional logistic equation is formulated utilizing the Caputo-Fabrizio fractional derivative. By using the properties of the Caputo-Fabrizio fractional calculus, the implicit analytical solution of the proposed model is derived. Additionally, numerical simulations are performed to explore the influence of the fractional order and various parameter values on mosquito population dynamics.

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Published

2025-09-01

How to Cite

Study on the Logistic Model of Mosquito Population Involving Caputo-Fabrizio Fractional Derivative. (2025). IAENG International Journal of Applied Mathematics, 55(9), 3006-3010. https://ijesworld.com/index.php/IEANG/article/view/78