Section: New Results

Analysis of a schistosomiasis infection model

The global mathematical analysis of a schistosomiasis infection model that involves human and intermediate snail hosts as well as an additional mammalian host and a competitor snail species has been done by constructing Lyapunov functions and using properties of K monotone systems. We derived the basic reproduction number ${ℛ}_0$ for the deterministic model, and establish that the global dynamics are completely determined by the values of ${ℛ}_0$. This mathematical analysis of the model gives insight about the epidemiological consequences of the introduction of a competitor resistant snail species. We gave the characteristics of the competitor resistant snail species that can be used to eliminate the disease [11] .