The basic reproduction number (R 0), also called the basic reproduction ratio or rate or the
basic reproductive rate, is an epidemiologic metric used to describe the contagiousness or …

We deal with the following question: Can the consumption of contaminated bush meat, the
funeral practices and the environmental contamination explain the recurrence and …

Abstract A novel HIV/AIDS epidemic model in which we incorporate a new compartment, that
is, treatment compartment T, is introduced. The global dynamics of our model are …

In recent years, many new definitions of fractional derivatives have been proposed and used
to develop mathematical models for a wide variety of real-world systems containing memory …

Abstract As of June 02, 2020. The number of people infected with COVID-19 virus in Brazil
was about 529,405, the number of death is 30046, the number of recovered is 211080, and …

Environmentally mediated infectious disease transmission models provide a mechanistic
approach to examining environmental interventions for outbreaks, such as water treatment …

Although most of the early research studies on fractional-order systems were based on the
Caputo or Riemann–Liouville fractional-order derivatives, it has recently been proven that …

Mathematical models of infectious diseases exhibit robust dynamics, such as stable
endemic, disease-free equilibriums or convergence of the solutions to periodic epidemic …

The purpose of this article is to discuss the dynamics of the spread of Ebola virus disease
(EVD), a kind of fever commonly known as Ebola hemorrhagic fever. It is rare but severe and …

This paper provides an analysis on global dynamics of a diffusive cholera model. We
formulate the model by a reaction–diffusion system with space-dependent parameters and …