Author(s)

Ouaténi Diallo, Yaya Koné, Jérôme Pousin

Faculté des Sciences et Techniques, USTTB, Bamako, Mali.
Institut Camille Jordan, INSA de Lyon, Lyon, France.

In this paper we introduce a classical SI model to capture the spread of an infectious disease within a population. More precisely, the spatial diffusion of HIV/AIDS in a population is modeled. For that, we assume that the spread is due to the anarchical comportment of infected individuals along a road, especially, “lorry drivers”. The question which consists of the control of the infection is also addressed. Infected individuals moving from a town to another one, the diffusion is then anisotropic with a main direction of propagation, namely the road direction. Using a semi-group argument and a maximum principle, the uniqueness of a solution to the problem is established. This solution is also estimated. We end this paper by considering some numerical experiments in the case of HIV/AIDS spread in Mali along a road connecting two towns.

Spacial Spread of Infections; Controlability; Maximum Principle

O. Diallo, Y. Koné and J. Pousin, "A Model of Spatial Spread of an Infection with Applications to HIV/AIDS in Mali," Applied Mathematics, Vol. 3 No. 12, 2012, pp. 1877-1881. doi: 10.4236/am.2012.312256.