Immunization of susceptible–infected model on scale-free networks

Bai, Wen-Jie; Zhou, Tao; Wang, Bing–Hong

doi:10.1016/j.physa.2007.04.107

Cited by 57 publications

(44 citation statements)

References 23 publications

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“…Each individual had an opportunity to be the first individual infected, termed the “index case,” also known as “patient zero.” The probability of transmission was equal across all interactions. Furthermore, for simplicity, we assumed susceptible/infected (SI) epidemiological dynamics in which all individuals were initially susceptible to the disease and once infected, after interacting with an infected individual, remained infected (Anderson and May 1991; Barthelemy et al 2004, 2005; Bai et al 2007). To quantify the colony-wide incidence of infection, we examined the proportion of individuals infected by the end of the 20 time steps, referred to as “disease prevalence.” To quantify “transmission speed,” we used the inverse of the number of time steps it took 50% of the colony to become infected.…”

Section: Methodsmentioning

confidence: 99%

The Effect of Keystone Individuals on Collective Outcomes Can Be Mediated through Interactions or Behavioral Persistence

Pinter‐Wollman

Keiser²,

Wollman

et al. 2016

The American Naturalist

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Collective behavior emerges from interactions among group members who often vary in their behavior. The presence of just one or a few keystone individuals, such as leaders or tutors, may have a large effect on collective outcomes. These individuals can catalyze behavioral changes in other group members, thus altering group composition and collective behavior. The influence of keystone individuals on group function may lead to trade-offs between ecological situations, because the behavioral composition they facilitate may be suitable in one situation but not another. We use computer simulations to examine various mechanisms that allow keystone individuals to exert their influence on group members. We further discuss a trade-off between two potentially conflicting collective outcomes, cooperative prey attack and disease dynamics. Our simulations match empirical data from a social spider system and produce testable predictions for the causes and consequences of the influence of keystone individuals on group composition and collective outcomes. We find that a group’s behavioral composition can be impacted by the keystone individual through changes to interaction patterns or behavioral persistence over time. Group behavioral composition and the mechanisms that drive the distribution of phenotypes influence collective outcomes and lead to trade-offs between disease dynamics and cooperative prey attack.

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Section: Methodsmentioning

confidence: 99%

The Effect of Keystone Individuals on Collective Outcomes Can Be Mediated through Interactions or Behavioral Persistence

Pinter‐Wollman

Keiser²,

Wollman

et al. 2016

The American Naturalist

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“…In case of a highly contagious disease which spreads quickly, or in the beginning of an epidemic when the effects of recovery and death can be ignored, the SI model is appropriate for investigating the disease dynamics. 40,41 Furthermore, the SI model has applications in technological communication networks, 42 broadcasting processes, 43 email system services (e.g., Google when membership was only by invitation), and network marketing processes. 44 Analytic methods have been developed for optimizing intervention strategies in case of an epidemic.…”

Section: Literature Reviewmentioning

confidence: 99%

“…They finally investigated a fast spreading strategy in which only local information was available. Bai et al 41 investigated the effect of immunization in the SI model on scale-free networks. They examined random and targeted immunization based on the Barabási-Albert networks.…”

Section: Literature Reviewmentioning

confidence: 99%

Optimal intervention strategies for an epidemic: A household view

Yarmand

Ivy

2013

SIMULATION

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In this research, we identify optimal intervention strategies at the household level in case of an epidemic. We consider an affected household (a household with one initial infective member) and model the effect of different intervention policies, which involve vaccination, antiviral prophylaxis, isolation, and treatment, on disease spread using a variation of Kermack-McKendrick (KM) models. Both full and partial adherence to interventions are considered. An implementation cost is assumed for each intervention policy. We refer to a collection of intervention policies as an intervention strategy. A reward is associated with susceptible members who remain uninfected. We define the effect of the implemented intervention strategy as the total reward earned by all members over the time horizon. We then identify the most cost-effective intervention strategies. In addition, we incorporate a budgetary constraint for the household and find the efficient frontier for the total reward over different upper bounds on the household budget.

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“…However, in [6][7][8], Zhou, et al argued that this hypothesis is not always true. For example, for human sexual network, although a few individuals have many sexual partners, their sexual activities are not far beyond a normal level due to physiological limitations.…”

Section: Nonlinear Infectivitymentioning

confidence: 99%

Staged progression model for epidemic spread on homogeneous and heterogeneous networks

Zhang

Small

2011

J Syst Sci Complex

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In this paper, epidemic spread with the staged progression model on homogeneous and heterogeneous networks is studied. First, the epidemic threshold of the simple staged progression model is given. Then the staged progression model with birth and death is also considered. The case where infectivity is a nonlinear function of the nodes' degree is discussed, too. Finally, the analytical results are verified by numerical simulations.

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Immunization of susceptible–infected model on scale-free networks

Cited by 57 publications

References 23 publications

The Effect of Keystone Individuals on Collective Outcomes Can Be Mediated through Interactions or Behavioral Persistence

The Effect of Keystone Individuals on Collective Outcomes Can Be Mediated through Interactions or Behavioral Persistence

Optimal intervention strategies for an epidemic: A household view

Staged progression model for epidemic spread on homogeneous and heterogeneous networks

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