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Modelling and analysis of human–mosquito malaria transmission dynamics in Bangladesh

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  • Kuddus, Md Abdul
  • Rahman, Azizur

Abstract

Malaria, a parasite based infectious disease spread by anopheles mosquitos, is widespread, affecting people of all ages. Malaria blood-borne pathogens cause approximately 110 million clinical cases of malaria and between one and two million deaths associated with Plasmodium falciparum each year worldwide, including Bangladesh. In this paper, we develop a human–mosquito transmission dynamics malaria model and analyse of the system properties and solutions. Both analytical and numerical results suggest that if the basic reproduction number R0<1, the disease-free equilibrium is asymptotically stable, meaning malaria naturally dies out. Further, if R0>1, the malaria disease persists in the population. We also provide the model calibration to estimate parameters with year-wise malaria incidence data from 2001 to 2014 in Bangladesh. Sensitivity analysis also performs to identify the most critical parameters through the partial rank correlation coefficient method. We found that the contact rate of both humans and mosquitoes had the most extensive influence on malaria prevalence. Finally, the impacts of progression rate, disease-related death rate, recovery rate and the rate of losing immunity are examined through numerical simulations and graphical analysis.

Suggested Citation

  • Kuddus, Md Abdul & Rahman, Azizur, 2022. "Modelling and analysis of human–mosquito malaria transmission dynamics in Bangladesh," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 123-138.
    • Handle: RePEc:eee:matcom:v:193:y:2022:i:c:p:123-138
    DOI: 10.1016/j.matcom.2021.09.021
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    References listed on IDEAS

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    1. Yang, Yali & Li, Jianquan & Ma, Zhien & Liu, Luju, 2010. "Global stability of two models with incomplete treatment for tuberculosis," Chaos, Solitons & Fractals, Elsevier, vol. 43(1), pages 79-85.
    2. Hai-Feng Huo & Guang-Ming Qiu, 2014. "Stability of a Mathematical Model of Malaria Transmission with Relapse," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, February.
    3. Abid Ali Lashari & Shaban Aly & Khalid Hattaf & Gul Zaman & Il Hyo Jung & Xue-Zhi Li, 2012. "Presentation of Malaria Epidemics Using Multiple Optimal Controls," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-17, June.
    4. Abadi Abay Gebremeskel, 2018. "Global Stability of Malaria Transmission Dynamics Model with Logistic Growth," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-12, March.
    5. Abadi Abay Gebremeskel, 2018. "Corrigendum to “Global Stability of Malaria Transmission Dynamics Model with Logistic Growth”," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-1, October.
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    Cited by:

    1. Xue, Leilei & Sun, Liping & Guo, Songbai, 2023. "Dynamic effects of asymptomatic infections on malaria transmission," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 214(C), pages 172-182.

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