An effective transport-related SVIR stochastic epidemic model with media coverage and Lévy noise

Alkhazzan, Abdulwasea; Wang, Jungang; Nie, Yufeng; Khan, Hasib; Alzabut, Jehad

doi:10.1016/j.chaos.2023.113953

Cited by 16 publications

(2 citation statements)

References 46 publications

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“…Departments must take prompt and effective measures to prevent the disease from spreading. Early education and media outreach play a vital role in raising awareness about the disease and ensuring that people take necessary precautions [6–9]. Mass media channels such as radio, television, billboards, newspapers, social media, and booklets can be used to disseminate preventive health messages and report on health‐related topics.…”

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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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

Self Cite

View full text Add to dashboard Cite

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“…As a result of these models, public health policies have been informed, resources have been targeted to those who are most at risk, and predictions have been made about the spread of the disease. They have also been used to assess the efficacy of different interventions, such as contact tracing and social distancing [6][7][8][9][10]. Ghulam et al [11] delve into a stochastic epidemic model for hepatitis B featuring saturated incidence rates.…”

mentioning

confidence: 99%

Stochastic optimal control analysis for HBV epidemic model with vaccination

Shah,

Nie,

Din

et al. 2024

Preprint

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Several classes are discussed in this paper, including susceptibles, vaccinates, acutes, chronics, hospitalized, and recovered. In terms of dynamic behaviour, the model provides a substantial description of Hepatitis B. Hepatitis B transmission dynamics and infection risk can be predicted using the model. A vaccine strategy or intervention can also be identified using it. Given the initial positive data, the model possesses a bounded, unique, and positive solution. Furthermore, we have established the model's stability through the application of stochastic Lyapunov functional theory. The examination of an infection's stationary distribution and potential extinction is conducted under specific conditions. Both stochastic and deterministic control problems were scrutinized, with optimal control theory employed to manage the external control measures for the disease's containment. The analytical findings have been elucidated through graphical representations.

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