Human malaria


We develop models to describe the within-host dynamics of different plasmodi such as P. falciparum, P. Vivax or P. Malariae. For the parasitized stage of red blood cells (RBCs), we consider an age-structured dynamics, where the age is a continuous variable representing the time since the concerned RBC is parasitized. Such a continuous age structure allow to track the maturity and the different stages of sequestrated parasites, but also to have a refined description of the parasitized RBC rupture and of the merozoites release phenomenon (Djidjou-Demasse & Ducrot). Further, such a model easily allows to include anti-malarial treatments acting on some particular stages of the development of the parasites into the parasitized RBCs. Using gametocyte production as a proxy variable of infectiousness, we found the age-structured model to perform best in representing the gametocyte dynamics compared to the classical K-compartments of ordinary differential equations (Djidjou-Demasse et al.).


At the epidemiological level, we are also developing malaria transmission models with seasonal mosquito life-history traits such as: periodic-mosquitoes per capita birth rate, -mosquitoes death rate, -probability of mosquito to human disease transmission, -probability of human to mosquito disease transmission and -mosquitoes biting rate. In addition to some interesting math results, the model outputs are in accordance with the seasonal variation of the reported cases of a malaria-epidemic region, e.g., in Mpumalanga province in South Africa (Djidjou-Demasse et al.).