Dynamic threshold probe of stochastic SIR model with saturated incidence rate and saturated treatment function

S.P. Rajasekar, M. Pitchaimani and Quanxin Zhu

Physica A: Statistical Mechanics and its Applications, 2019, vol. 535, issue C

Abstract: In this discourse, we establish and investigate the pervasive of environmental variability in a deterministic epidemic model with saturated incidence rate and saturated treatment function. We exemplify that the proposed stochastic model reveals an exclusive and universal positive solution. We deal with equilibrium solution of stochastic model which contribute few biological intrinsic manifestation for the model. We attain the sufficient conditions for extinction of the infectious disease and persistent in the mean of the stochastic epidemic model with probability one, if ℛ0˜<1 and if ℛ0˜>1 respectively. Eventually, numerical probing is furnished to elucidate the analytical outcomes.

Keywords: SIR model; Saturated incidence rate; Saturated treatment function; pth-moment exponential stability; Persistence; Extinction (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:535:y:2019:i:c:s0378437119313329

DOI: 10.1016/j.physa.2019.122300

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