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Analysis of a host–vector dynamics of a dengue disease model with optimal vector control strategy

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  • Saha, Sangeeta
  • Samanta, Guruprasad

Abstract

Dengue is a mosquito-borne viral disease where the species Aedes aegypti acts as the vector. In this work, we have proposed a biologically well-posed epidemic model to study the dynamics of dengue strain. It is observed that people infected with severe dengue are more infectious than people with mild symptoms in terms of disease transmission. Also, continuous removal of mosquitoes decreases the chances of becoming infected with Dengue significantly. In the later part, an optimal control problem is formulated where a lesser number of people become infected due to time-dependent people’s awareness regarding taking precaution and mosquito removal measures. The numerical simulation shows that the transmission of the virus among mosquitoes becomes lowest when both the control policies are implemented. So, from the overall analysis, it is observed that maintaining effective non-pharmaceutical precautions at an early stage and removing mosquitoes from the system at certain time intervals decrease the infection level significantly in the environment by reducing the probability of becoming infected.

Suggested Citation

  • Saha, Sangeeta & Samanta, Guruprasad, 2022. "Analysis of a host–vector dynamics of a dengue disease model with optimal vector control strategy," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 195(C), pages 31-55.
    • Handle: RePEc:eee:matcom:v:195:y:2022:i:c:p:31-55
    DOI: 10.1016/j.matcom.2021.12.021
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    References listed on IDEAS

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    1. Saha, Sangeeta & Samanta, G.P., 2019. "Dynamics of an epidemic model with impact of toxins," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 527(C).
    2. Saha, Sangeeta & Samanta, G.P., 2019. "Modelling and optimal control of HIV/AIDS prevention through PrEP and limited treatment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 280-307.
    3. Brito da Cruz, Artur M.C. & Rodrigues, Helena Sofia, 2021. "Personal protective strategies for dengue disease: Simulations in two coexisting virus serotypes scenarios," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 254-267.
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    Cited by:

    1. Olivares, Alberto & Staffetti, Ernesto, 2023. "A statistical moment-based spectral approach to the chance-constrained stochastic optimal control of epidemic models," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    2. Li, Yazhi & Wang, Yan & Liu, Lili, 2023. "Optimal control of dengue vector based on a reaction–diffusion model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 250-270.
    3. Saha, Pritam & Sikdar, Gopal Chandra & Ghosh, Jayanta Kumar & Ghosh, Uttam, 2023. "Disease dynamics and optimal control strategies of a two serotypes dengue model with co-infection," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 209(C), pages 16-43.

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