Mathematical modeling, analysis and numerical simulation of the transmission with mitigation of control strategies used in Cameroon.

In this paper, we formulated a general model of model transmission using biological features of the disease and control strategies based on the isolation of exposed people, confinement (lock-downs) of the human population, testing people living risks area, wearing of masks and respect of hygienic rules. We provide a theoretical study of the model. We derive the basic reproduction number which determines the extinction and the persistence of the infection.

Mathematical modelling and numerical simulations of the influence of hygiene and seasons on the spread of cholera.

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. This paper is devoted to the modelling of the impact of climatic factors and human behaviour on the spread of cholera. The mathematical modelling incorporates the direct transmission and the indirect transmission due to environmental knowledge.