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Dynamical System Analysis of a Lassa Fever Model with Varying Socioeconomic Classes

Author

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  • Ifeanyi Sunday Onah
  • Obiora Cornelius Collins

Abstract

Lassa fever is an animal‐borne acute viral illness caused by Lassa virus. It poses a serious health challenge around the world today, especially in West African countries like Ghana, Benin, Guinea, Liberia, Mali, Sierra Leone, and Nigeria. In this work, we formulate a multiple‐patch Lassa fever model, where each patch denotes a socioeconomic class (SEC). Some of the important epidemiological features such as basic reproduction number of the model were determined and analysed accordingly. We further investigated how varying SECs affect the transmission dynamics of Lassa fever. We analysed the required state at which each SEC is responsible in driving the Lassa fever disease outbreak. Sensitivity analyses were carried out to determine the importance of model parameters to the disease transmission and prevalence. We carried out numerical simulation to support our analytical results. Finally, we extend some of the results of the 2‐patch model to the general n‐patch model.

Suggested Citation

  • Ifeanyi Sunday Onah & Obiora Cornelius Collins, 2020. "Dynamical System Analysis of a Lassa Fever Model with Varying Socioeconomic Classes," Journal of Applied Mathematics, John Wiley & Sons, vol. 2020(1).
    • Handle: RePEc:wly:jnljam:v:2020:y:2020:i:1:n:2601706
    DOI: 10.1155/2020/2601706
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    References listed on IDEAS

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    1. Mitchell L. Cohen, 2000. "Changing patterns of infectious disease," Nature, Nature, vol. 406(6797), pages 762-767, August.
    2. E. A. Bakare & E. B. Are & O. E. Abolarin & S. A. Osanyinlusi & Benitho Ngwu & Obiaderi N. Ubaka, 2020. "Mathematical Modelling and Analysis of Transmission Dynamics of Lassa Fever," Journal of Applied Mathematics, John Wiley & Sons, vol. 2020(1).
    3. Ifeanyi Sunday Onah & Obiora Cornelius Collins & Praise-God Uchechukwu Madueme & Godwin Christopher Ezike Mbah, 2020. "Dynamical System Analysis and Optimal Control Measures of Lassa Fever Disease Model," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2020, pages 1-18, April.
    4. E. A. Bakare & E. B. Are & O. E. Abolarin & S. A. Osanyinlusi & Benitho Ngwu & Obiaderi N. Ubaka, 2020. "Mathematical Modelling and Analysis of Transmission Dynamics of Lassa Fever," Journal of Applied Mathematics, Hindawi, vol. 2020, pages 1-18, March.
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