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Mathematical Model for Lassa Fever Transmission and Control
Mathematics and Computer Science
Volume 5, Issue 6, November 2020, Pages: 110-118
Received: Oct. 15, 2020; Accepted: Oct. 28, 2020; Published: Dec. 16, 2020
Authors
Anorue Onyinyechi Favour, Department of Mathematics, Michael Okpara University of Agriculture Umudike Abia-State, Umuahia, Abia–State, Nigeria
Okeke Anthony Anya, Department of Mathematics, Federal University Gashua, Gashua, Yobe-State, Nigeria
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Abstract
Lassa fever is an acute hemorrhagic zoonotic illness (possible transmission from infected animals to humans), caused by Lassa virus whose reservoir host is the Mastomys natalensis (Rodent). It is a disease with a duration of 2-21 days that strives more in African nations and countries with poor water and environmental sanitation. In this paper, a deterministic model for Lassa fever is formulated buttressing the various stages of infection of the disease. We studied the existence and uniqueness of the solutions. The steady states of the model are determined and the basic reproduction number is analyzed with a threshold parameter R_0 which shows persistence of the disease if and only if R_0>1 using the next generation matrix. The treatment strategies considered amidst others are the use of antiviral drug and to quarantine infected individuals on early diagnosis of the infection on the asymptomatic and symptomatic individuals respectively. Numerically, it was evidential that the quarantine system has a great positive effect on the rate of recovery of the infected individuals and also in curbing the risk of infection in the environment which can help safeguard the population. A relapse on this method will lead to reinfection of the disease thereby bringing the population to a point of danger.
Keywords
Lassa Fever, Infection Process, Quarantine, Equilibrium, Stability
Anorue Onyinyechi Favour, Okeke Anthony Anya, Mathematical Model for Lassa Fever Transmission and Control, Mathematics and Computer Science. Vol. 5, No. 6, 2020, pp. 110-118. doi: 10.11648/j.mcs.20200506.13
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