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  1. 1 World News of Natural Sciences

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  1. 1 2019

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  1. 1 Derick N.

  2. 1 Onuorah M. O.

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Frequency Dependent Incidence Model for Acute and Chronic Schistosomiasis

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Derick N., Onuorah M. O.
World News of Natural Sciences
|
2019
|
vol. 23
276-296
EN
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.
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