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- Compartmental_models_in_epidemiology abstract "The establishment and spread of infectious diseases is a complex phenomenon with many interacting factors, e.g., the environment in which the pathogen and hosts are situated, the population(s) it is exposed to, and the intra- and inter-dynamics of the population it is exposed to. The role of mathematical epidemiology is to model the establishment and spread of pathogens. A predominant method of doing so, is to use the notion of abstracting the population into compartments under certain assumptions, which represent their health status with respect to the pathogen in the system. One of the cornerstone works to achieve success in this method was done by Kermack and McKendrick in the early 1900s.These models are known as compartmental models in epidemiology, and serve as a base mathematical framework for understanding the complex dynamics of these systems, which hope to model the main characteristics of the system. These compartments, in the simplest case, can stratify the population into two health states: susceptible to the infection of the pathogen (often denoted by S); and infected by the pathogen (given the symbol I). The way that these compartments interact is often based upon phenomenological assumptions, and the model is built up from there. These models are usually investigated through ordinary differential equations (which are deterministic), but can also be viewed in more realistic stochastic framework (for example, the Gillespie model). To push these basic models to further realism, other compartments are often included, most notably the recovered/removed/immune compartment (denoted R).Once one is able to model an infectious pathogen with compartmental models, one can predict the various properties of the pathogen spread, for example the prevalence (total number of infected from the epidemic) and the duration of the epidemic. Also, one can understand how different situations may affect the outcome of the epidemic, e.g., what is the best technique for issuing a limited number of vaccines in a given population?".
- Compartmental_models_in_epidemiology thumbnail SIR_model_simulated_using_python.gif?width=300.
- Compartmental_models_in_epidemiology wikiPageExternalLink anintroductiontoinfectiousdiseasemodelling.com.
- Compartmental_models_in_epidemiology wikiPageExternalLink UPD-1%20Published.pdf.
- Compartmental_models_in_epidemiology wikiPageExternalLink Epidemiology:_The_SIR_model.
- Compartmental_models_in_epidemiology wikiPageExternalLink 0025556495927565.
- Compartmental_models_in_epidemiology wikiPageExternalLink S0025-5564(06)00150-7.
- Compartmental_models_in_epidemiology wikiPageExternalLink 1976MathBiosci.pdf.
- Compartmental_models_in_epidemiology wikiPageExternalLink pmidlookup?view=long&pmid=2382131.
- Compartmental_models_in_epidemiology wikiPageID "958031".
- Compartmental_models_in_epidemiology wikiPageLength "32635".
- Compartmental_models_in_epidemiology wikiPageOutDegree "52".
- Compartmental_models_in_epidemiology wikiPageRevisionID "686570561".
- Compartmental_models_in_epidemiology wikiPageWikiLink Anderson_Gray_McKendrick.
- Compartmental_models_in_epidemiology wikiPageWikiLink Asymptomatic_carrier.
- Compartmental_models_in_epidemiology wikiPageWikiLink Attack_rate.
- Compartmental_models_in_epidemiology wikiPageWikiLink Basic_reproduction_number.
- Compartmental_models_in_epidemiology wikiPageWikiLink Category:Epidemiology.
- Compartmental_models_in_epidemiology wikiPageWikiLink Category:Scientific_modeling.
- Compartmental_models_in_epidemiology wikiPageWikiLink Closed-form_expression.
- Compartmental_models_in_epidemiology wikiPageWikiLink Colostrum.
- Compartmental_models_in_epidemiology wikiPageWikiLink Common_cold.
- Compartmental_models_in_epidemiology wikiPageWikiLink Coronavirus.
- Compartmental_models_in_epidemiology wikiPageWikiLink Differential_equation.
- Compartmental_models_in_epidemiology wikiPageWikiLink Endemic_(epidemiology).
- Compartmental_models_in_epidemiology wikiPageWikiLink Epidemic.
- Compartmental_models_in_epidemiology wikiPageWikiLink Erlang_distribution.
- Compartmental_models_in_epidemiology wikiPageWikiLink File:SIR_model_with_carrier.PNG.
- Compartmental_models_in_epidemiology wikiPageWikiLink Immune_system.
- Compartmental_models_in_epidemiology wikiPageWikiLink Infection.
- Compartmental_models_in_epidemiology wikiPageWikiLink Influenza.
- Compartmental_models_in_epidemiology wikiPageWikiLink Integro-differential_equation.
- Compartmental_models_in_epidemiology wikiPageWikiLink Kermack–McKendrick_theory.
- Compartmental_models_in_epidemiology wikiPageWikiLink Mary_Mallon.
- Compartmental_models_in_epidemiology wikiPageWikiLink Mathematical_modelling_of_infectious_disease.
- Compartmental_models_in_epidemiology wikiPageWikiLink Measles.
- Compartmental_models_in_epidemiology wikiPageWikiLink Modifiable_areal_unit_problem.
- Compartmental_models_in_epidemiology wikiPageWikiLink Mumps.
- Compartmental_models_in_epidemiology wikiPageWikiLink Next-generation_matrix.
- Compartmental_models_in_epidemiology wikiPageWikiLink Nonlinear_system.
- Compartmental_models_in_epidemiology wikiPageWikiLink Placenta.
- Compartmental_models_in_epidemiology wikiPageWikiLink Risk_assessment.
- Compartmental_models_in_epidemiology wikiPageWikiLink Ronald_Ross.
- Compartmental_models_in_epidemiology wikiPageWikiLink Rubella.
- Compartmental_models_in_epidemiology wikiPageWikiLink Separation_of_variables.
- Compartmental_models_in_epidemiology wikiPageWikiLink Susceptible_individual.
- Compartmental_models_in_epidemiology wikiPageWikiLink Thermodynamic_limit.
- Compartmental_models_in_epidemiology wikiPageWikiLink Transcendental_equation.
- Compartmental_models_in_epidemiology wikiPageWikiLink Tuberculosis.
- Compartmental_models_in_epidemiology wikiPageWikiLink Typhoid_fever.
- Compartmental_models_in_epidemiology wikiPageWikiLink Vaccination.
- Compartmental_models_in_epidemiology wikiPageWikiLink File:MSIR.PNG.
- Compartmental_models_in_epidemiology wikiPageWikiLink File:SEIR.PNG.
- Compartmental_models_in_epidemiology wikiPageWikiLink File:SIR_model_simulated_using_python.gif.
- Compartmental_models_in_epidemiology wikiPageWikiLink File:SIS.PNG.
- Compartmental_models_in_epidemiology wikiPageWikiLink File:Sirsys-p9.png.
- Compartmental_models_in_epidemiology wikiPageWikiLink File:Sissys.png.
- Compartmental_models_in_epidemiology wikiPageWikiLinkText "Compartmental models in epidemiology".
- Compartmental_models_in_epidemiology wikiPageWikiLinkText "Compartmental_models_in_epidemiology#The_SIR_model".
- Compartmental_models_in_epidemiology wikiPageWikiLinkText "SEIR".
- Compartmental_models_in_epidemiology wikiPageWikiLinkText "SIR Model".
- Compartmental_models_in_epidemiology wikiPageWikiLinkText "SIR model".
- Compartmental_models_in_epidemiology wikiPageWikiLinkText "SIR".
- Compartmental_models_in_epidemiology wikiPageWikiLinkText "cell compartment method".
- Compartmental_models_in_epidemiology wikiPageWikiLinkText "compartment models".
- Compartmental_models_in_epidemiology wikiPageWikiLinkText "compartmental epidemiological models".
- Compartmental_models_in_epidemiology wikiPageWikiLinkText "compartmental model".
- Compartmental_models_in_epidemiology wikiPageWikiLinkText "compartmental models".
- Compartmental_models_in_epidemiology wikiPageWikiLinkText "compartmental".
- Compartmental_models_in_epidemiology wikiPageWikiLinkText "disease".
- Compartmental_models_in_epidemiology wikiPageWikiLinkText "epidemiological compartment model".
- Compartmental_models_in_epidemiology wikiPageWikiLinkText "epidemiology".
- Compartmental_models_in_epidemiology wikiPageUsesTemplate Template:Cite_book.
- Compartmental_models_in_epidemiology wikiPageUsesTemplate Template:Cite_journal.
- Compartmental_models_in_epidemiology wikiPageUsesTemplate Template:Computer_modeling.
- Compartmental_models_in_epidemiology wikiPageUsesTemplate Template:Expert-subject.
- Compartmental_models_in_epidemiology wikiPageUsesTemplate Template:Math.
- Compartmental_models_in_epidemiology wikiPageUsesTemplate Template:Reflist.
- Compartmental_models_in_epidemiology subject Category:Epidemiology.
- Compartmental_models_in_epidemiology subject Category:Scientific_modeling.
- Compartmental_models_in_epidemiology hypernym Phenomenon.
- Compartmental_models_in_epidemiology type Disease.
- Compartmental_models_in_epidemiology type Type.
- Compartmental_models_in_epidemiology type Biostatistic.
- Compartmental_models_in_epidemiology type Field.
- Compartmental_models_in_epidemiology type Science.
- Compartmental_models_in_epidemiology type Type.
- Compartmental_models_in_epidemiology comment "The establishment and spread of infectious diseases is a complex phenomenon with many interacting factors, e.g., the environment in which the pathogen and hosts are situated, the population(s) it is exposed to, and the intra- and inter-dynamics of the population it is exposed to. The role of mathematical epidemiology is to model the establishment and spread of pathogens.".
- Compartmental_models_in_epidemiology label "Compartmental models in epidemiology".
- Compartmental_models_in_epidemiology sameAs Q2572354.
- Compartmental_models_in_epidemiology sameAs SIR-modellen.
- Compartmental_models_in_epidemiology sameAs Modèles_compartimentaux_en_épidémiologie.
- Compartmental_models_in_epidemiology sameAs Ziektecompartimentenmodel.
- Compartmental_models_in_epidemiology sameAs m.0x0sgx5.
- Compartmental_models_in_epidemiology sameAs Q2572354.
- Compartmental_models_in_epidemiology wasDerivedFrom Compartmental_models_in_epidemiology?oldid=686570561.
- Compartmental_models_in_epidemiology depiction SIR_model_simulated_using_python.gif.
- Compartmental_models_in_epidemiology isPrimaryTopicOf Compartmental_models_in_epidemiology.