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  2. Compartmental models in epidemiology - Wikipedia

    en.wikipedia.org/wiki/Compartmental_models_in...

    A highly accurate analytic approximant of the SIR model as well as exact analytic expressions for the final values , , and were provided by Kröger and Schlickeiser, [9] so that there is no need to perform a numerical integration to solve the SIR model (a simplified example practice on COVID-19 numerical simulation using Microsoft Excel can be ...

  3. Mathematical modelling of infectious diseases - Wikipedia

    en.wikipedia.org/wiki/Mathematical_modelling_of...

    There are many modifications of the SIR model, including those that include births and deaths, where upon recovery there is no immunity (SIS model), where immunity lasts only for a short period of time (SIRS), where there is a latent period of the disease where the person is not infectious (SEIS and SEIR), and where infants can be born with ...

  4. Basic reproduction number - Wikipedia

    en.wikipedia.org/wiki/Basic_reproduction_number

    is the average number of people infected from one other person. For example, Ebola has an of two, so on average, a person who has Ebola will pass it on to two other people.. In epidemiology, the basic reproduction number, or basic reproductive number (sometimes called basic reproduction ratio or basic reproductive rate), denoted (pronounced R nought or R zero), [1] of an infection is the ...

  5. Next-generation matrix - Wikipedia

    en.wikipedia.org/wiki/Next-generation_matrix

    In epidemiology, the next-generation matrix is used to derive the basic reproduction number, for a compartmental model of the spread of infectious diseases. In population dynamics it is used to compute the basic reproduction number for structured population models. [1] It is also used in multi-type branching models for analogous computations. [2]

  6. Epidemic models on lattices - Wikipedia

    en.wikipedia.org/wiki/Epidemic_models_on_lattices

    Spatial SIR model simulation. Each cell can infect its eight immediate neighbors. Classic epidemic models of disease transmission are described in Compartmental models in epidemiology. Here we discuss the behavior when such models are simulated on a lattice.

  7. List of COVID-19 simulation models - Wikipedia

    en.wikipedia.org/wiki/List_of_COVID-19...

    IHME model – Institute for Health Metrics and Evaluation COVID model; MEmilio [35] – an open source high performance Modular EpideMIcs simuLatIOn software based on hybrid graph-SIR-type model [36] with commuter testing between regions [37] and vaccination strategies [38] and agent-based models

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  9. Network theory in risk assessment - Wikipedia

    en.wikipedia.org/wiki/Network_Theory_in_Risk...

    The SIR model is also known as the Reed-Frost model. [ 16 ] To factor these into an outbreak network model, one must consider the degree distributions of vertices in the giant component of the network (outbreaks in small components are isolation and die out quickly, which does not allow the outbreaks to become epidemics).