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. 1982;15(3):319-38.
doi: 10.1007/BF00275691.

Global asymptotic stability of a periodic solution to an epidemic model

R Volz

Global asymptotic stability of a periodic solution to an epidemic model

R Volz. J Math Biol. 1982.

Abstract

In this paper a periodic delay differential equation with spatial spread is investigated. This equation can be used to model the growth of malaria which is transmitted by a mosquito. Using monotone techniques, it is shown that the following bifurcation holds: either the disease dies out or the density of infectious people tends to a spatially homogeneous, time periodic and positive solution.

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References

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    1. J Math Biol. 1977 Feb 28;4(1):69-80 - PubMed

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