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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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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Akinyi, Okaka
Tireito, Frankline
description 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
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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
title A Mathematical Model on the Dynamics of In-Host Infection Cholera Disease with Vaccination
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