The effect of media coverage on threshold dynamics for a stochastic SIS epidemic model

Zhao, Yu; Zhang, Liping; Yuan, Sanling

doi:10.1016/j.physa.2018.08.113

Cited by 28 publications

(7 citation statements)

References 31 publications

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“…The increasing public awareness leads to more protective behaviors of syphilis being carried out, which reduces the contact rate between susceptible and infectious individuals ( Rahman & Rahman, 2007 ). Generally, public health education programs play a tremendous role in limiting the spread of infectious disease ( Gallagher & Updegraff, 2012 ; Yan et al., 2016 ), by changing the behaviors of susceptibles ( Greenhalgh et al., 2015 ; Zhao et al., 2018 ). In the past years, much work has been done to investigate the effects of using condom on the dynamics of sexually-transmitted diseases ( Gutierrez et al., 2010 ).…”

Section: Discussionmentioning

confidence: 99%

The effect of public health awareness and behaviors on the transmission dynamics of syphilis in Northwest China, 2006–2018, based on a multiple-stages mathematical model

Jing

Liu

et al. 2021

Infectious Disease Modelling

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Syphilis, a sexually transmitted infectious disease caused by the bacterium treponema pallidum, has re-emerged as a global public health issue with an estimated 12 million people infected each year. Understanding the impacts of health awareness and behaviors on transmission dynamics of syphilis can help to establish optimal control strategy in different regions. In this paper, we develop a multiple-stage SIRS epidemic model taking into account the public health awareness and behaviors of syphilis. First, the basic reproduction number is obtained, which determines the global dynamics behaviors of the model. We derive the necessary conditions for implementing optimal control and the corresponding optimal solution for mitigation syphilis by using Pontryagin's Maximum Principle. Based on the data of syphilis in Ningxia from 2006 to 2018, the parameterizations and model calibration are carried out. The fitting results are in good agreement with the data. Moreover, sensitivity analysis shows that the public awareness induced protective behaviors C e , compliance of condom-induced preventability ε and treatment for the primary syphilis m 1 play an important role in mitigating the risk of syphilis outbreaks. These results can help us gain insights into the epidemiology of syphilis and provide guidance for the public health authorities to implement health education programs.

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Section: Discussionmentioning

confidence: 99%

The effect of public health awareness and behaviors on the transmission dynamics of syphilis in Northwest China, 2006–2018, based on a multiple-stages mathematical model

Jing

Liu

et al. 2021

Infectious Disease Modelling

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“…Naturally, there comes an important question: How do environmental fluctuations affect the dynamics of the disease, especially the threshold? Recently, there are already some literatures focusing on this question [34] , [35] , [36] . For example, Cai et al.…”

Section: Introductionmentioning

confidence: 99%

The threshold of a deterministic and a stochastic SIQS epidemic model with varying total population size

Zhang

2021

Applied Mathematical Modelling

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Highlights A new a deterministic and stochastic epidemic model with varying total population size is proposed. The thresholds of the deterministic and stochastic epidemic model are established respectively. Our methods can improve some existing results. We carry out numerical and find a critical isolation rate 0.0217. The empirical probability density are presented.

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“…According to the way of considering different stochastic disturbances, many scholars have established a variety of stochastic infectious disease models, and investigated the asymptotic behavior of the system. For example, the impact of environmental disturbances on the rate of transmission have been considered based on SIR (Susceptible-Infected-Recovered) [30][31][32][33][34][35][36], SIS (Susceptible-Infected-Susceptible) [37][38][39][40][41][42] and SIRS (Susceptible-Infected-Recovered-Susceptible) model [43][44][45][46]. However, the above literatures on infectious diseases have evolved mainly among the three compartments (S,I and R).…”

Section: Introductionmentioning

confidence: 99%

Dynamical Behavior of a Stochastic SIRC Model for Influenza A

et al. 2020

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In this paper, a stochastic SIRC epidemic model for Influenza A is proposed and investigated. First, we prove that the system exists a unique global positive solution. Second, the extinction of the disease is explored and the sufficient conditions for extinction of the disease are derived. And then the existence of a unique ergodic stationary distribution of the positive solutions for the system is discussed by constructing stochastic Lyapunov function. Furthermore, numerical simulations are employed to illustrate the theoretical results. Finally, we give some further discussions about the system.

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The effect of media coverage on threshold dynamics for a stochastic SIS epidemic model

Cited by 28 publications

References 31 publications

The effect of public health awareness and behaviors on the transmission dynamics of syphilis in Northwest China, 2006–2018, based on a multiple-stages mathematical model

The effect of public health awareness and behaviors on the transmission dynamics of syphilis in Northwest China, 2006–2018, based on a multiple-stages mathematical model

The threshold of a deterministic and a stochastic SIQS epidemic model with varying total population size

Dynamical Behavior of a Stochastic SIRC Model for Influenza A

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