A Mathematical Model For Lassa Fever Transmission Dynamics With Impacts of Control Measures: Analysis And Simulation

Oke Isaiah Idisi and Tunde Tajudeen Yusuf
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Oke Isaiah Idisi: Lagos State University, Nigeria
Tunde Tajudeen Yusuf: Federal University of Technology, Nigeria

European Journal of Mathematics and Statistics, 2021, vol. 2, issue 2, 19-28

Abstract: Lassa Fever, caused by Lassa virus, is a vector-host transmitted infectious disease whose prevalence has been on the upsurge over the past few decades. Thus, considering the grave implications of the continuous spread of the disease, an epidemic model was developed to describe the disease transmission dynamics with impacts of proposed control measures. This is to help inform effective control strategies that would successfully curtail and contain the disease in its endemic areas. The model is qualitatively analyzed in order to contextualize the long run behavior of the model while the model associated basic reproduction number $(\mathcal{R}_0)$ is derived. The model analysis reveals that the disease-free equilibrium is locally and globally stable whenever $ \mathcal{R}_0 1 $. Finally, the model is numerically solved and simulated for different scenarios of the disease outbreaks while the findings from simulations are discussed.

Keywords: lassa virus; Vector-Host model; Basic reproduction number; Equilibrium solutions; Stability analysis (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:2:y:2021:i:2:id:14017

DOI: 10.24018/ejmath.2021.2.2.17

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