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2019 | 23 | 276-296
Article title

Frequency Dependent Incidence Model for Acute and Chronic Schistosomiasis

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In this research work, a deterministic mathematical model for schistosomiasis transmission dynamics is presented. The model consists of five non-liniar 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. Furthermore, we gained and analyzed for stability, the disease-free and endemic equilibrium. 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 were obtained using matlab software.
Physical description
  • Department of Science Education, Kampala International University, P.O.BOX 20,000 Kampala, Uganda
  • Department Physical Sciences, Kampala International University, P.O.BOX 20,000 Kampala, Uganda
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