Simple epidemiology model for a non-immune disease with ordinary and resistant carriers

2017;
: pp. 37-42
https://doi.org/10.23939/mmc2017.01.037
Received: June 29, 2017
1
Danylo Halytskyi Lviv National Medical University
2
Institute for Condensed Matter Physics of the Nat. Acad. Sci. of Ukraine; Lviv Polytechnic National University

We consider the compartmental model for the non-immune disease with both ordinary and resistant carriers. The same infecting rate $\beta$ is assumed for both types of carriers, whereas the curing rates $\gamma$ and  $\gamma'$ for the ordinary and resistant carriers, respectively, are different. The conversion from an ordinary into resistant carrier takes place with the rate $\delta$. The stationary states for the model are evaluated and rewritten in a compact form using two reduced parameters that are combinations of initial four rates. The lower and upper bounds are given for both these parameters and the $3D$ plot for the fixed points is presented.

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Math. Model. Comput. Vol.4, No.1, pp.37-42 (2017)