relation: http://publicatio.bibl.u-szeged.hu/35846/
title: Analyzing the Dynamics of a Periodic Typhoid Fever Transmission Model with Imperfect Vaccination
creator:  Alharbi Mohammed H.
creator:  Alalhareth Fawaz K.
creator:  Ibrahim Mahmoud Abdalla Ali
subject: 01.01. Matematika
description: We present a nonautonomous compartmental model that incorporates vaccination and accounts for the seasonal transmission of typhoid fever. The dynamics of the system are governed by the basic reproductive number R0. This demonstrates the global stability of the disease-free solution if R0<1. On the contrary, if R0>1, the disease persists and positive periodic solutions exist. Numerical simulations validate our theoretical findings. To accurately fit typhoid fever data in Taiwan from 2008 to 2023, we use the model and estimate its parameters using Latin hypercube sampling and least squares techniques. A sensitivity analysis reveals the significant influence of parameters such as infection rates on the reproduction number. Increasing vaccination coverage, despite challenges in developing countries, reduces typhoid cases. Accessible and highly effective vaccines play a critical role in suppressing the epidemic, outweighing concerns about the efficacy of the vaccine. Investigating possible parameter changes in Taiwan highlights the importance of monitoring and managing transmission rates to prevent recurring annual epidemics.
date: 2023
type: Folyóiratcikk
type: PeerReviewed
format: text
identifier: http://publicatio.bibl.u-szeged.hu/35846/1/mathematics-11-03298.pdf
identifier:     Alharbi Mohammed H.;  Alalhareth Fawaz K.;  Ibrahim Mahmoud Abdalla Ali: Analyzing the Dynamics of a Periodic Typhoid Fever Transmission Model with Imperfect Vaccination.   MATHEMATICS, 11 (15).   ISSN 2227-7390 (2023)     
identifier: doi:10.3390/math11153298
relation: https://doi.org/10.3390/math11153298
relation: 34123727
language: eng