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A mathematical study of an imprecise SIR epidemic model with treatment control

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Abstract

In this paper, a Susceptible–Infected–Recovered (SIR) model with imprecise biological parameters is studied. Due to the lack of precise numerical data of the biological parameters here the model with imprecise data is considered. Sometimes it is not possible to collect the numerical data as a fixed value, but the interval in which it belongs to can easily be determined. For this reason an SIR model is introducing with the interval numbers as parametric functional form. Then the existence of equilibrium points with their feasibility criteria is checked and discussed about the stability of the system. Optimal control problem is formulated and solved. Numerical simulation works are given in support of the analytical results.

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Authors and Affiliations

  1. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721101, India

    Anjana Das & M. Pal

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  1. Anjana Das
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  2. M. Pal
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Correspondence to Anjana Das.

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Das, A., Pal, M. A mathematical study of an imprecise SIR epidemic model with treatment control. J. Appl. Math. Comput. 56, 477–500 (2018). https://doi.org/10.1007/s12190-017-1083-6

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  • DOI: https://doi.org/10.1007/s12190-017-1083-6

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