Microscopic Numerical Simulations of Epidemic Models on Networks
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Mathematical models of the spread of epidemic diseases are studied, paying special attention to networks. We treat the Susceptible-Infected-Recovered (SIR) model and the Susceptible-Exposed-Infectious-Recovered (SEIR) model described by differential equations. We perform microscopic numerical simulations for corresponding epidemic models on networks. Comparing a random network and a scale-free network for the spread of the infection, we emphasize the role of hubs in a scale-free network. We also present a simple derivation of the exact solution of the SIR model.
2016 ◽
Vol 3
(3)
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pp. 151-179
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2010 ◽
Vol 21
(08)
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pp. 1001-1010
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2012 ◽
Vol 26
(28)
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pp. 1250186
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