How the individuals’ risk aversion affect the epidemic spreading

Han, Dun; Shao, Qi; Li, Dandan; Sun, Mei

doi:10.1016/j.amc.2019.124894

Cited by 15 publications

(22 citation statements)

References 30 publications

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“…By (21), we know G 2 (P * I ) > 0. Using the Routh-Hurwitz criterion and invoking the method to examine the Hopf bifurcation in [29], we see that the equilibrium point (P * I , P * SI , P * SS ) is stable if…”

Section: Saddle-node and Hopf Bifurcationsmentioning

confidence: 92%

“…Notice that humans may take different behaviors as the risk of disease transmission varies [20,21]. For example, during the SARS outbreak in 2003, the government and public opinion urged people to take protection measures by reducing infectious contacts, and people adopt the stronger responses when the reported cases were increased [22,23].…”

Section: Introductionmentioning

confidence: 99%

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Complex Behaviors of Epidemic Model with Nonlinear Rewiring Rate

2020

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An SIS propagation model with the nonlinear rewiring rate on an adaptive network is considered. It is found by bifurcation analysis that the model has the complex behaviors which include the transcritical bifurcation, saddle-node bifurcation, Hopf bifurcation, and Bogdanov–Takens bifurcation. Especially, a bifurcation curve with “S” shape emerges due to the nonlinear rewiring rate, which leads to multiple equilibria and twice saddle-node bifurcations. Numerical simulations show that the model admits a homoclinic bifurcation and a saddle-node bifurcation of the limit cycle.

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Section: Saddle-node and Hopf Bifurcationsmentioning

confidence: 92%

Section: Introductionmentioning

confidence: 99%

Complex Behaviors of Epidemic Model with Nonlinear Rewiring Rate

2020

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“…However, in our epidemic model, the direct risk sources (i.e., unobserved infected nodes) are not detected, which makes the local risk information less “protective” [28] . Moreover, people prefer to making pre-protection, regardless of whether there is any infected neighbor [29] . For instance, in the previously mentioned vinegar case, people’s pre-protection is mainly induced by global risk information.…”

Section: Introductionmentioning

confidence: 99%

Modeling the competitive diffusions of rumor and knowledge and the impacts on epidemic spreading

Huang

Chen

2021

Applied Mathematics and Computation

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Highlights The impacts of knowledge diffusion on rumor and epidemic are studied in a two-layer network. The competitive diffusions of rumor and knowledge are modeled on the communication layer. The outbreak threshold of rumor increases linearly with the penetration intensity of knowledge. The outbreak threshold of epidemic increases concavely with the penetration intensity of knowledge. Rumor and epidemic can be stopped more efficiently by knowledge when people have more connections in the communication layer.

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“…Infected people with these thoughts can result in cluster cases and lead to difficulty in clearly ascertaining the paths of infection. According to the results of [ 15 ], individuals in the incubation period of the disease might spread the disease rapidly; such individuals have a significant impact on the spread of this infectious disease. To prevent this, therefore, individuals must improve their awareness of the risks of the disease.…”

Section: Introductionmentioning

confidence: 99%

Controlling COVID-19 Outbreaks with Financial Incentives

Lee

Kwak

Kim

2021

IJERPH

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In this paper, we consider controlling coronavirus disease 2019 (COVID-19) outbreaks with financial incentives. We use the recently developed susceptible-unidentified infected-confirmed (SUC) epidemic model. The unidentified infected population is defined as the infected people who are not yet identified and isolated and can spread the disease to susceptible individuals. It is important to quickly identify and isolate infected people among the unidentified infected population to prevent the infectious disease from spreading. Considering financial incentives as a strategy to control the spread of disease, we predict the effect of the strategy through a mathematical model. Although incentive costs are required, the duration of the disease can be shortened. First, we estimate the unidentified infected cases of COVID-19 in South Korea using the SUC model, and compute two parameters such as the disease transmission rate and the inverse of the average time for confirming infected individuals. We assume that when financial incentives are provided, there are changes in the proportion of confirmed patients out of unidentified infected people in the SUC model. We evaluate the numbers of confirmed and unidentified infected cases with respect to one parameter while fixing the other estimated parameters. We investigate the effect of the incentives on the termination time of the spread of the disease. The larger the incentive budget is, the faster the epidemic will end. Therefore, financial incentives can have the advantage of reducing the total cost required to prevent the spread of the disease, treat confirmed patients, and recover overall economic losses.

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How the individuals’ risk aversion affect the epidemic spreading

Cited by 15 publications

References 30 publications

Complex Behaviors of Epidemic Model with Nonlinear Rewiring Rate

Complex Behaviors of Epidemic Model with Nonlinear Rewiring Rate

Modeling the competitive diffusions of rumor and knowledge and the impacts on epidemic spreading

Controlling COVID-19 Outbreaks with Financial Incentives

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