SEIS model with multiple latent stages and treatment in an exponentially growing population

Stanislas Ouaro, Desire Ouedraogo

Abstract


An SE^{n}IS epidemiological model with vital dynamics in an exponentially growing population is discussed. Without treatment three threshold parameters $R_0, R_1$ and $R_2$ determine the dynamic of compartments sizes and that of the fractions. With the treatment the dynamics of the population and that of the epidemic depend on three other threshold parameters $R_T, R_{1T}$ and $R_{2T}$. We made a link between the models with one latent stage and the models with multiple latent stages by defining and deriving the "effective" activation rate and the "effective" treatment rate for the latent individuals. We defined the treatment force, the relative treatment force and deduced the critical treatment force needed to eradicate the disease. The theoretical results are validated by numerical simulations.


https://doi.org/10.28919/cmbn/3436


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Published: 2017-11-17

How to Cite this Article:

Stanislas Ouaro, Desire Ouedraogo, SEIS model with multiple latent stages and treatment in an exponentially growing population, Communications in Mathematical Biology and Neuroscience, Vol 2017 (2017), Article ID 23

Copyright © 2017 Stanislas Ouaro, Desire Ouedraogo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

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