This article introduces the notion of basic reproduction number R0 in mathematical
epidemiology. After an historic reminder describing the steps leading to the statement of its …

Cholera is a bacterial disease, its spread is strongly influenced by environmental factors and
some socio-economic factors such as hygiene standards and nutrition of the population …

In this article, we study the behavior of a nonlinear age-structured predator-prey model that
is a generalization of Lotka-Volterra equations. We prove global existence, uniqueness and …

In this article, we study a SI epidemic model describing the spread of a disease in a perfectly
mixed managed population, representing an animal herd in a fattening farm. The epidemic …

In this article is perfomed a global stability analysis of an infection load-structured epidemic
model using tools of dynamical systems theory. An explicit Duhamel formulation of the …

Cholera is a bacterial disease caused by the bacterium Vibrio cholerae that requires optimal
temperature and environmental conditions to survive. It is well known that climate change …

The transmission dynamics of COVID-19 worldwide have not been controlled very
effectively, and still represent a major threat to public health and even to sustainable global …

The goal of this article is to provide an useful criterion of positivity and well-posedness for a
wide range of infinite dimensional semilinear abstract Cauchy problems. This criterion is …

We study a competitive infection-age structured SI model between two diseases. The well-
posedness of the system is handled by using integrated semigroups theory, while the …

In December 2019, human cases of novel coronavirus infection were detected in Wuhan,
China which have been named as COVID-19 by the World Health Organization (WHO) …