Skip to content

Mathematical Modelling of Tuberculosis Transmission Dynamics and Optimal Control in Nairobi, Kenya: An SEIR Compartmental Analysis

· 0 citations · 25 references

TL;DR

A deterministic SEIR-TB compartmental model tailored to Nairobi's specific epidemiological setting is developed to estimate R₀ and determine the stability of equilibrium states, and the comparative effectiveness of single and combined TB control interventions through numerical simulation is evaluated.

View source

Similar papers

Open access Aug 2026

A delay differential approach with sensitivity analysis for tuberculosis transmission and control

Tuberculosis (TB) is considered a severe disease and remains a serious public health problem in developing regions, especially in Khyber Pakhtunkhwa (KPK), Pakistan, where the failure to timely diagnose the disease, poor access to healthcare, poverty, and treatment interruptions significantly contribute to the disease'...

Abidah Amir, Awais Ahmad, S. Zeb et al. · 0 citations
Open access Aug 2026

Transmission Dynamics and Optimal Control of Malaria-Dengue Co-infection: A Cost-Effectiveness Analysis

Cost-effectiveness analysis using infection averted ratio (IAR), average cost-effectiveness ratio (ACER), and incremental cost-effectiveness ratio (ICER) reveals that the combined implementation of all six control measures (Strategy 9) is most cost-effective, averting 9,200 infections (35.38% reduction) at an ACER of 3...

Francis Agono, G. Acheneje, B. C. Agbata et al. · 0 citations
Open access Sep 2026

Mathematical Modelling and Optimal Control of Malaria Transmission in Children under Five Years: A Scenario-based Framework for Bungoma County, Kenya

Malaria remains an important cause of morbidity in young children in western Kenya, where intervention effectiveness depends not only on nominal coverage but also on biological efficacy, adherence, vector behaviour, insecticide susceptibility, and local transmission intensity. This study develops a deterministic human–...

Opicho Dominic Simiyu, B. Kwach, R. Nyukuri · 0 citations
Open access Aug 2026

Optimal Control Analysis of Transmission Dynamics and Treatment Pathways in a TB–HCV Co-Infection Model

This study develops a deterministic compartmental model to investigate the effects of partial treatment on the transmission dynamics of tuberculosis (TB) and hepatitis C virus (HCV) co-infection and to identify effective intervention strategies. The basic reproduction number was derived using the next-generation matrix...

Michael Byamukama, Kizito Mohammed · 0 citations
Open access Aug 2026

Mathematical Analysis and Optimal Control of a Tuberculosis Model with Early Diagnosed Latent Infections

This study develops an SEIR model for TB transmission, taking into account the early diagnosed latent infections, and shows that combined strategy which involve all interventions reduce the total cost, while transmission reduction only strategy gives the greatest reduction in infected individuals.

Abdelfatah Abasher, Yasser Salah S. Abougamea, Elsiddeg Ali et al. · 0 citations
Open access Aug 2026

HIV Transmission Dynamics and Workforce Productivity in Indonesia: A Nonlinear Modeling and Parameter Estimation Study

This article addresses limited multi-compartment clinical data by developing a six-compartment nonlinear mathematical model consisting of susceptible (S), protected (P), exposed (E), non-productive infected (In), productive infected (Ip), and AIDS phase (A) to analyze HIV transmission dynamics and workforce productivit...

Rizqi Aridh Dwi Prasetyo, Nuansa Cahaya Muhammad, D. K. Arif et al. · 0 citations

We use cookies to run the site and, with your consent, for analytics and to show ads. See our Cookie Policy.