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  2. Mathematical modelling of infectious diseases - Wikipedia

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

    Models use basic assumptions or collected statistics along with mathematics to find parameters for various infectious diseases and use those parameters to calculate the effects of different interventions, like mass vaccination programs. The modelling can help decide which intervention(s) to avoid and which to trial, or can predict future growth ...

  3. 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 ...

  4. 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]

  5. Force of infection - Wikipedia

    en.wikipedia.org/wiki/Force_of_infection

    In epidemiology, force of infection (denoted ) is the rate at which susceptible individuals acquire an infectious disease. [1] Because it takes account of susceptibility it can be used to compare the rate of transmission between different groups of the population for the same infectious disease, or even between different infectious diseases.

  6. Compartmental models in epidemiology - Wikipedia

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

    For the full specification of the model, the arrows should be labeled with the transition rates between compartments. Between S and I, the transition rate is assumed to be (/) / = /, where is the total population, is the average number of contacts per person per time, multiplied by the probability of disease transmission in a contact between a susceptible and an infectious subject, and / is ...

  7. Infection rate - Wikipedia

    en.wikipedia.org/wiki/Infection_rate

    An infection rate or incident rate is the probability or risk of an infection in a population.It is used to measure the frequency of occurrence of new instances of infection within a population during a specific time period.

  8. Kermack–McKendrick theory - Wikipedia

    en.wikipedia.org/wiki/Kermack–McKendrick_theory

    In its initial form, Kermack–McKendrick theory is a partial differential-equation model that structures the infected population in terms of age-of-infection, while using simple compartments for people who are susceptible (S), infected (I), and recovered/removed (R).

  9. Epidemiological method - Wikipedia

    en.wikipedia.org/wiki/Epidemiological_method

    Epidemiological (and other observational) studies typically highlight associations between exposures and outcomes, rather than causation. While some consider this a limitation of observational research, epidemiological models of causation (e.g. Bradford Hill criteria) [7] contend that an entire body of evidence is needed before determining if an association is truly causal. [8]

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