2008
DOI: 10.1007/978-3-540-78911-6_3
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An Introduction to Stochastic Epidemic Models

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Cited by 359 publications
(348 citation statements)
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“…A population model is a type of mathematical model which is applied in order to study population dynamics, and it is extensively used to model biological population such as the spread of parasites, viruses, and diseases [14]. Specifically, our model is based on biological 135 epidemic models [19], where individuals can be infected when a contact occurs with other infected nodes. In our case, an infected node refers to a node that has a message, and an infection, when a node that has a message transmits it to another node.…”
Section: Performance Modelmentioning
confidence: 99%
“…A population model is a type of mathematical model which is applied in order to study population dynamics, and it is extensively used to model biological population such as the spread of parasites, viruses, and diseases [14]. Specifically, our model is based on biological 135 epidemic models [19], where individuals can be infected when a contact occurs with other infected nodes. In our case, an infected node refers to a node that has a message, and an infection, when a node that has a message transmits it to another node.…”
Section: Performance Modelmentioning
confidence: 99%
“…The performance model presented here is based on biological epidemic models [10]. The number of nodes (population) N remains constant, and nodes move freely in a given area with a given contact rate between pairs λ.…”
Section: Performance Modelmentioning
confidence: 99%
“…The main results for the classical SIS and SIR epidemic models can be found in several textbooks (Andersson and Britton, 2000;Allen, 2003;Bailey, 1990;Daley and Gani, 1999). For discussions about variants and generalizations, please consult some recent papers (Allen, 2008;Clancy, 2005;Fouchet et al, 2008;Lindholm, 2008;Xu et al, 2007) and the references therein.…”
Section: Applications To Stochastic Population Modelsmentioning
confidence: 99%