Eigenvalues and Eigenvectors - Applications - Basic Reproduction Number

Basic Reproduction Number

See Basic reproduction number

The basic reproduction number is a fundamental number in the study of how infectious diseases spread. If one infectious person is put into a population of completely susceptible people, then is the average number of people that one infectious person will infect. The generation time of an infection is the time, from one person becoming infected to the next person becoming infected. In a heterogenous population, the next generation matrix defines how many people in the population will become infected after time has passed. is then the largest eigenvalue of the next generation matrix.

Read more about this topic:  Eigenvalues And Eigenvectors, Applications

Famous quotes containing the words basic, reproduction and/or number:

    Nothing and no one can destroy the Chinese people. They are relentless survivors. They are the oldest civilized people on earth. Their civilization passes through phases but its basic characteristics remain the same. They yield, they bend to the wind, but they never break.
    Pearl S. Buck (1892–1973)

    As the twentieth century ends, commerce and culture are coming closer together. The distinction between life and art has been eroded by fifty years of enhanced communications, ever-improving reproduction technologies and increasing wealth.
    Stephen Bayley (b. 1951)

    Cultivated labor drives out brute labor. An infinite number of shrewd men, in infinite years, have arrived at certain best and shortest ways of doing, and this accumulated skill in arts, cultures, harvestings, curings, manufactures, navigations, exchanges, constitutes the worth of our world to-day.
    Ralph Waldo Emerson (1803–1882)