Frequency Dependent Incidence Model for Acute and Chronic Schistosomiasis
In this research work, a deterministic mathematical model for schistosomiasis transmission dynamics is presented. The model consists of five non liner ordinary differential equations incorporating the acute and chronic infectious compartments. The basic reproductive number, (the number of secondary infections when a single infectious individual is introduced into a population where everyone is susceptible) was obtained. Further the disease free and endemic equilibrium where obtained and analyzed for stability. The qualitative feature of the model shows that the long-term behavior of the model is independent of initial conditions. Numerical simulation of the various state variables where obtained using matlab software.