Mathematical analysis of the dynamics of visceral leishmaniasis in the Sudan

In this paper a mathematical model was developed to study the dynamics of visceral leishmaniasis (VL) the in Sudan. To develop this model, the dynamics of the disease between three different populations, human, reservoir and vector populations was considered. The model analysis is done and the equilibrium points are analyzed to establish their stability. The threshold of the disease, the basic reproduction number, is established for which the disease can be eliminated. Results show that the disease can be eliminated under certain conditions. It is also concluded that human treatment helps in disease control, but it is not sufficient to eliminate the disease and it should be followed by vector control in order to eradicate the disease from the human population.