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  2. Mathematical modelling of infectious diseases - Wikipedia

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

    An infectious disease is said to be endemic when it can be sustained in a population without the need for external inputs. This means that, on average, each infected person is infecting exactly one other person (any more and the number of people infected will grow sub-exponentially and there will be an epidemic , any less and the disease will ...

  3. 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.

  4. Compartmental models in epidemiology - Wikipedia

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

    Compartmental models have a disease-free equilibrium (DFE) meaning that it is possible to find an equilibrium while setting the number of infected people to zero, =. In other words, as a rule, there is an infection-free steady state. This solution, also usually ensures that the disease-free equilibrium is also an equilibrium of the system.

  5. 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 ...

  6. Kermack–McKendrick theory - Wikipedia

    en.wikipedia.org/wiki/Kermack–McKendrick_theory

    Kermack–McKendrick theory is a hypothesis that predicts the number and distribution of cases of an infectious disease as it is transmitted through a population over time. Building on the research of Ronald Ross and Hilda Hudson , A. G. McKendrick and W. O. Kermack published their theory in a set of three articles from 1927, 1932, and 1933.

  7. Herd immunity - Wikipedia

    en.wikipedia.org/wiki/Herd_immunity

    Mass vaccination to induce herd immunity has since become common and proved successful in preventing the spread of many contagious diseases. [22] Opposition to vaccination has posed a challenge to herd immunity, allowing preventable diseases to persist in or return to populations with inadequate vaccination rates. [45] [46] [47]

  8. Pathogen transmission - Wikipedia

    en.wikipedia.org/wiki/Pathogen_transmission

    Computer simulations of infectious disease spread have been used. [33] Human aggregation can drive transmission, seasonal variation and outbreaks of infectious diseases, such as the annual start of school, bootcamp, the annual Hajj etc. Most recently, data from cell phones have been shown to be able to capture population movements well enough ...

  9. Infectious period - Wikipedia

    en.wikipedia.org/wiki/Infectious_period

    In epidemiology, particularly in the discussion of infectious disease dynamics (mathematical modeling of disease spread), the infectious period is the time interval during which a host (individual or patient) is infectious, i.e. capable of directly or indirectly transmitting pathogenic infectious agents or pathogens to another susceptible host ...