In this paper, the main biological aspects of infectious diseases and their mathematical
translation for modeling their transmission dynamics are revised. In particular, some …

The burden of diarrheal diseases is very high, accounting for 1.7 to 5 billion cases per year
worldwide. Typhoid fever (TF) and cholera are potentially life-threatening infectious …

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 …

Cholera, an acute gastro-intestinal infection and a waterborne disease continues to emerge
in developing countries and remains an important global health challenge. We formulate a …

The citrus disease huanglongbing (HLB), associated with an uncultured bacterial pathogen,
is threatening the citrus industry worldwide. A mathematical model of the transmission of …

Here, we investigate a mathematical model to assess the impact of disinfectants in
controlling diseases that spread in the population via direct contacts with the infected …

In this paper, a cholera infection model with vaccination strategy is investigated. By
analyzing corresponding characteristic equations, the local stability of each of feasible …

In this study, the mathematical model of the cholera epidemic is formulated and analyzed to
show the impact of Vibrio cholerae in reserved freshwater. Moreover, the results obtained …

We propose a biodynamic model for managing waterborne diseases over an Internet of
Things (IoT) network, leveraging the scalability of LoRa IoT technology to accommodate a …

In this paper, a stochastic epidemic model for cholera is proposed and investigated. Firstly,
we establish sufficient conditions for extinction of the disease. Then we establish sufficient …