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1 results

  • The periodicity of endemic malaria

  • J. Radcliffe
  • Journal:
    Journal of Applied Probability / Volume 11 / Issue 3 / September 1974
    Published online by Cambridge University Press:
    14 July 2016, pp. 562-567
    Print publication:
    September 1974

  • In many endemic areas the level of infection of malaria exhibits a regular cycle. A stochastic model is formulated to describe endemic malaria and is used to justify a set of deterministic equations. The model incorporates the properties peculiar to malaria, i.e., in endemic areas malaria is not usually fatal and an individual can be and usually is reinfected. The theory of small oscillations is applied to the deterministic equations, and under the assumption of stable populations of hosts and vectors an expression is obtained for the period of oscillation of the infection.