Analyzing the Dynamics of a Periodic Typhoid Fever Transmission Model with Imperfect Vaccination

Abstract

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.

Mathematical Modeling for a CHIKV Transmission Under the Influence of Periodic Environment

“…In [24], the authors analysed the seasonal behaviour of an SVEIR epidemic model with vaccination. Similarly, in [25][26][27][28][29], the authors studied the seasonal behaviour of some epidemic models related to HIV, chikungunya virus and Typhoid Fever spread.We aim in this paper to study the dynamics of CHIKV in relation with phages and hosts when it is considered in both, fixed and seasonal environment and with a nonlinear general incidence rate. We calculated the basic reproduction number as the spectral radius of an integral operator.…”