Modelling Lassa fever Dynamics Incorporating Quarantine Rate

International Journal of Research and Innovation in Applied Science (IJRIAS) | Volume V, Issue V, May 2020 | ISSN 2454-6194

Modelling Lassa fever Dynamics Incorporating Quarantine Rate

N. O. Nweze1*, Joseph I. K1, Alhaji Ismail S.2, Lucas W. L.3, A. Z. Loko4
1Statistics Department, Nasarawa State University, Keffi, P.M.B.1022, Keffi, Nigeria
2,3Mathematics Department, Nasarawa State University, Keffi, P.M.B.1022, Keffi, Nigeria
4Physics Department, Nasarawa State University, Keffi, P.M.B.1022, Keffi, Nigeria
*Corresponding Author

Abstract:-In this article a Lassa fever dynamics control that incorporates quarantine class is proposed. The population is sub-divided into two sub population namely the human and rodent class. The human population was sub-divided into four sub-classes: susceptible, S_H (t), infected, I_H (t), quarantine, Q_H (t) and recovered, Q_H (t) humans while the rodent class is sub-divided into susceptible, S_R (t) and infected, I_R (t)rodents. The Disease Free Equilibrium (DFE) was analysed and investigated using stability theory of differential equations. The sufficient condition for disease free equilibrium was checked using Jacobian matrix approach. It wasshown that the introduced quarantine parameter helps in controlling and eradication of Lassa fever virus in the population with respect to time.Numerical simulations were also carried out to investigate the influence of key parameters on the spread of the disease, especially the quarantine parameter to support the analytical conclusion and illustrate possible behavioural scenario of the model.
Keywords: Lassa Fever, Quarantine Rate, Local Stability, Disease Free Equilibrium, Disease Endemic Equilibrium

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