A stochastic SIQR epidemic model with Lévy jumps and three-time delays

Zhang, Ge; Li, Zhiming; Din, Anwarud

doi:10.1016/j.amc.2022.127329

Cited by 11 publications

(1 citation statement)

References 34 publications

(33 reference statements)

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“…To address this issue, researchers [25] have proposed a L

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vy jump process for the stochastic SIR epidemiological model with jumps to explain these dynamics for the first time. For more information, interested readers can refer to the recent developments in [26–30].…”

Section: Introductionmentioning

confidence: 99%

A stochastic Susceptible Vaccinees Infected Recovered epidemic model with three types of noises

Alkhazzan,

Wang,

Nie

et al. 2024

Math Methods in App Sciences

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Epidemics pose a serious threat to public health, and effective disease control measures are essential. To address this challenge, we propose a novel stochastic Susceptible Vaccinees Infected Recovered (SVIR) epidemic model that incorporates temporary immunities, media coverage, and three types of noises: white noise, telegraph noise, and L vy noise. Our model is more realistic than traditional epidemic models, as it accounts for the random fluctuations in disease transmission and the impact of media coverage on public behavior. We use Lyapunov functions and stopping times to prove the existence of a global positive solution to our model. We also derive sufficient conditions for the extinction and persistence of the infection. Furthermore, we develop a numerical scheme to validate our theoretical findings and to analyze the influence of various parameters on the model's dynamics. Our model can be used to guide policymakers in developing and implementing effective disease control measures.

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“…To address this issue, researchers [25] have proposed a L