Mathematical modelling of infectious diseases has shown that combinations of isolation,
quarantine, vaccine and treatment are often necessary in order to eliminate most infectious …

The COVID-19 outbreak is deeply influencing the global social and economic framework,
due to restrictive measures adopted worldwide by governments to counteract the pandemic …

The Ebola virus is currently one of the most virulent pathogens for humans. The latest major
outbreak occurred in Guinea, Sierra Leone, and Liberia in 2014. With the aim of …

In this paper, we apply optimal control theory to a novel coronavirus (COVID-19)
transmission model given by a system of non-linear ordinary differential equations. Optimal …

A new mathematical model incorporating epidemiological features of the co-dynamics of
tuberculosis (TB) and SARS-CoV-2 is analyzed. Local asymptotic stability of the disease …

Epidemiological models may give some basic guidelines for public health practitioners,
allowing the analysis of issues that can influence the strategies to prevent and fight a …

We propose a mathematical model for cholera with treatment through quarantine. The model
is shown to be both epidemiologically and mathematically well posed. In particular, we …

In this paper, we extend the model of Liu and Zhang (Math Comput Model 54: 836-845,
2011) by incorporating three control terms and apply optimal control theory to the resulting …

We propose a population model for TB-HIV/AIDS coinfection transmission dynamics, which
considers antiretroviral therapy for HIV infection and treatments for latent and active …

A major Ebola outbreak occurs in West Africa since March 2014, being the deadliest
epidemic in history. As an infectious disease epidemiology, Ebola is the most lethal and is …