A Mathematical Model on the Dynamics of In-Host Infection Cholera Disease with Vaccination

In this paper, a within-host cholera mathematical model has been developed using a system of ordinary differential equations incorporating vaccine efficacy. The formulated model considers cells in an already vaccinated individual with a vaccine whose efficacy is γ. The solutions of the model have be...

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Bibliographic Details
Published in:Discrete dynamics in nature and society 2023-03, Vol.2023, p.1-11
Main Authors: Jackob, Owade Kennedy, Akinyi, Okaka, Tireito, Frankline
Format: Article
Language:English
Subjects:
Analysis
Antibodies
Asymptotic properties
Cholera
Differential equations
Effectiveness
Epidemics
Health aspects
Human body
Inequality
Infections
Lymphocytes
Mathematical models
Numerical analysis
Ordinary differential equations
Pathogens
Simulation methods
Small intestine
Vaccination
Vaccines
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Summary:In this paper, a within-host cholera mathematical model has been developed using a system of ordinary differential equations incorporating vaccine efficacy. The formulated model considers cells in an already vaccinated individual with a vaccine whose efficacy is γ. The solutions of the model have been shown to be both positive and bounded hence well-posed. The vaccine basic reproduction number has been carried out using the next generation matrix approach and is given by R0V=γ/d+μ2 and R0V
ISSN:1026-0226
1607-887X
DOI:10.1155/2023/1465228