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arxiv: 1611.02565 · v1 · pith:BZOR2FKCnew · submitted 2016-11-08 · ⚛️ physics.soc-ph · cs.SI· q-bio.PE

Application of SIR epidemiological model: new trends

classification ⚛️ physics.soc-ph cs.SIq-bio.PE
keywords modelepidemiologicalallowsanalyzedapplicationapplicationsapproachbasic
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The simplest epidemiologic model composed by mutually exclusive compartments SIR (susceptible-infected-susceptible) is presented to describe a reality. From health concerns to situations related with marketing, informatics or even sociology, several are the fields that are using this epidemiological model as a first approach to better understand a situation. In this paper, the basic transmission model is analyzed, as well as simple tools that allows us to extract a great deal of information about possible solutions. A set of applications - traditional and new ones - is described to show the importance of this model.

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    A novel node-partitioning lumping scheme reduces arbitrary epidemic models on networks to approximate Markov Population Models with smaller state spaces.