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Global Stability of Malaria Transmission Dynamics Model with Logistic Growth

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  • Abadi Abay Gebremeskel

Abstract

Mathematical models become an important and popular tools to understand the dynamics of the disease and give an insight to reduce the impact of malaria burden within the community. Thus, this paper aims to apply a mathematical model to study global stability of malaria transmission dynamics model with logistic growth. Analysis of the model applies scaling and sensitivity analysis and sensitivity analysis of the model applied to understand the important parameters in transmission and prevalence of malaria disease. We derive the equilibrium points of the model and investigated their stabilities. The results of our analysis have shown that if , then the disease-free equilibrium is globally asymptotically stable, and the disease dies out; if , then the unique endemic equilibrium point is globally asymptotically stable and the disease persists within the population. Furthermore, numerical simulations in the application of the model showed the abrupt and periodic variations.

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  • 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.
    • Handle: RePEc:hin:jnddns:5759834
    DOI: 10.1155/2018/5759834
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    Cited by:

    1. 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.

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