Mathematical modelling for the transmission dynamics of Rift Valley fever virus with human host

Abstract

Rift Valley Fever (RVF) is a viral zoonosis spread primarily by mosquitos that primarily affects livestock but has the potential to affect humans. Because of its potential to spread quickly and become an epidemic, it has become a public concern. In this article, the transmission dynamics of RVF with mosquito, livestock and human host using a compartmental model is studied and analyzed. The basic reproduction number R0 is computed using next generation matrix and the disease-free equilibrium state is found to be locally asymptotically stable if R0 1 which implies that rift valley fever could be put under control in a population where the reproduction number is less than 1. The numerical simulations give insightful results to further explore the dynamics of the disease based on the effect of three interventions; efficacy of vaccination, culling of livestock and trapping of mosquitoes introduced in the model.

Mathematical Analysis of Tuberculosis Transmission Model with Multidrug and Extensively Drug-resistant Incorporating Chemoprophylaxis Treatment

“…The increasing emergence of extensively drug-resistant and multi-drug-resistant TB has further increased the TB epidemic. Thus, diagnosis of latent TB infections (LTBI) and timely treatment for active cases of TB remain important constituents for the effective control of TB [13]. In [14], vaccination and treatment are incorporated to mathematically model the outbreak of TB in the East African country.…”