<p>In this study, we develop a fractional-order mathematical model to investigate the dynamics of mosquito populations with and without Wolbachia infection, focusing on its impact on dengue transmission and disease control. The model incorporates key biological factors, including reproduction, mortality rates, and Wolbachia transmission probabilities, to analyse the life cycle of eggs, larvae, pupae, and adult mosquitoes. Additionally, the framework&#xa0;is extended to a dengue transmission model, incorporating both Wolbachia-infected and non-infected adult mosquitoes to evaluate their role in disease spread and control.</p><p>Using the Adams Predictor–Corrector numerical method, the interactions between mosquito populations and dengue transmission&#xa0;are simulated, providing insights into the effectiveness of Wolbachia-based interventions. Our findings highlight how Wolbachia-infected mosquitoes suppress dengue transmission by reducing the prevalence of infectious mosquitoes, offering a promising vector-control strategy. The results contribute to a deeper understanding of fractional-order modelling in epidemiology and reinforce the potential of Wolbachia deployment as an effective tool for managing mosquito-borne diseases.</p>

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Fractional order modelling of Wolbachia-carrying mosquito population dynamics for dengue control

  • G. M. Vijayalakshmi,
  • M. Ariyanatchi

摘要

In this study, we develop a fractional-order mathematical model to investigate the dynamics of mosquito populations with and without Wolbachia infection, focusing on its impact on dengue transmission and disease control. The model incorporates key biological factors, including reproduction, mortality rates, and Wolbachia transmission probabilities, to analyse the life cycle of eggs, larvae, pupae, and adult mosquitoes. Additionally, the framework is extended to a dengue transmission model, incorporating both Wolbachia-infected and non-infected adult mosquitoes to evaluate their role in disease spread and control.

Using the Adams Predictor–Corrector numerical method, the interactions between mosquito populations and dengue transmission are simulated, providing insights into the effectiveness of Wolbachia-based interventions. Our findings highlight how Wolbachia-infected mosquitoes suppress dengue transmission by reducing the prevalence of infectious mosquitoes, offering a promising vector-control strategy. The results contribute to a deeper understanding of fractional-order modelling in epidemiology and reinforce the potential of Wolbachia deployment as an effective tool for managing mosquito-borne diseases.