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Optimization of the Aedes aegypti Control Strategies for Integrated Vector Management

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  • Marat Rafikov
  • Elvira Rafikova
  • Hyun Mo Yang

Abstract

We formulate an infinite-time quadratic functional minimization problem of Aedes aegypti mosquito population. Three techniques of mosquito population management, chemical insecticide control, sterile insect technique control, and environmental carrying capacity reduction, are combined in order to obtain the most sustainable strategy to reduce mosquito population and consequently dengue disease. The solution of the optimization control problem is based on the ideas of the Dynamic Programming and Lyapunov Stability using State-Dependent Riccati Equation (SDRE) control method. Different scenarios are analyzed combining three mentioned population management efforts in order to assess the most sustainable policy to reduce the mosquito population.

Suggested Citation

  • Marat Rafikov & Elvira Rafikova & Hyun Mo Yang, 2015. "Optimization of the Aedes aegypti Control Strategies for Integrated Vector Management," Journal of Applied Mathematics, Hindawi, vol. 2015, pages 1-8, June.
    • Handle: RePEc:hin:jnljam:918194
    DOI: 10.1155/2015/918194
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    Cited by:

    1. Luba Pascoe & Thomas Clemen & Karen Bradshaw & Devotha Nyambo, 2022. "Review of Importance of Weather and Environmental Variables in Agent-Based Arbovirus Models," IJERPH, MDPI, vol. 19(23), pages 1-24, November.

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