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Modelling the transmission dynamics of Lassa fever with nonlinear incidence rate and vertical transmission

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  • Abidemi, Afeez
  • Owolabi, Kolade M.
  • Pindza, Edson

Abstract

In this paper, a seven-dimensional nonlinear mathematical model featuring the vertical transmission in humans, saturated incidence functions, and human population with good and poor community hygiene is formulated to describe the dynamics of Lassa fever (LF) disease transmission between the interacting human and rodent populations. The model is analysed to investigate the dynamical behaviour of its solutions using some theories of dynamical system of ordinary differential equations. The basic reproduction number, R0, of the model is established. A suitable Lyapunov function is constructed to establish the global asymptotic behaviour of the model about the Lassa fever-free equilibrium. Sensitivity analysis is carried out to gain insightful information about how R0 is influenced by the variation in the model parameters. Numerical simulations are conducted to examine the effects of the most sensitive model parameters on the population dynamics of LF. The results obtained provide epidemiological insights into the impact of key model parameters on the transmission dynamics of LF and suggest some measures to fight or guide against the disease spread in a population.

Suggested Citation

  • Abidemi, Afeez & Owolabi, Kolade M. & Pindza, Edson, 2022. "Modelling the transmission dynamics of Lassa fever with nonlinear incidence rate and vertical transmission," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
    • Handle: RePEc:eee:phsmap:v:597:y:2022:i:c:s037843712200228x
    DOI: 10.1016/j.physa.2022.127259
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    3. Yang, Jin & Chen, Zhuo & Tan, Yuanshun & Liu, Zijian & Cheke, Robert A., 2023. "Threshold dynamics of an age-structured infectious disease model with limited medical resources," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 214(C), pages 114-132.

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