Analysis of novel stochastic switched SILI epidemic models with continuous and impulsive control

Shujing Gao, Deming Zhong and Yan Zhang

Physica A: Statistical Mechanics and its Applications, 2018, vol. 495, issue C, 162-171

Abstract: In this paper, we establish two new stochastic switched epidemic models with continuous and impulsive control. The stochastic perturbations are considered for the natural death rate in each equation of the models. Firstly, a stochastic switched SILI model with continuous control schemes is investigated. By using Lyapunov–Razumikhin method, the sufficient conditions for extinction in mean are established. Our result shows that the disease could be die out theoretically if threshold value R is less than one, regardless of whether the disease-free solutions of the corresponding subsystems are stable or unstable. Then, a stochastic switched SILI model with continuous control schemes and pulse vaccination is studied. The threshold value R is derived. The global attractivity of the model is also obtained. At last, numerical simulations are carried out to support our results.

Keywords: Stochastic switched model; Pulse vaccination; Lyapunov–Razumikhin method; Global attractivity (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:495:y:2018:i:c:p:162-171

DOI: 10.1016/j.physa.2017.12.050

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