Analysis of the Cholera Disease and Control Using the SIRD Model

S. Munira¹ , M.S. Atureta² , K.E. Lasisi³

1. Dept. of Mathematics, Faulty of physical sciences UNIMAID, Maiduguri, Nigeria.
2. Dept. of Mathematics, A.T.B.U.Bauchi, Nigeria.
3. Department of Mathematics, ATBU, Bauchi, Nigeria.

Section:Research Paper, Product Type: Journal-Paper
Vol.11 , Issue.4 , pp.20-23, Aug-2024

Online published on Aug 31, 2024

Copyright © S. Munira, M.S. Atureta, K.E. Lasisi . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
This Study is centered on modifying SIRD mathematical model for cholera dynamics incorporating four control strategies namely: therapeutic treatment, Surveillance, vaccination and water sanitation. This study is limited to only cholera disease. Data were collected from the Gombe state Hospital for infectious disease and leprosy control in Zambuk. According to this study, total human population has been classified into four sub population such as susceptible humans, recovered humans, Infected Humans and the mortality rate of humans(Death). The susceptible class,Infected class and the recovered and the death category is being related with the homotopy perturbation method and the runge kutta method to observe the most efficient method to use to control the disease better.

Key-Words / Index Term :
SIRD model, Susceptible, Infected, Recovered, Death, Runge kutta(order 4and order 5) method, Homotopy perturbation method, Vibrio Cholerae

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