doi: 10.1007/BF00275691.
Global asymptotic stability of a periodic solution to an epidemic model
- PMID: 7153676
- DOI: 10.1007/BF00275691
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Global asymptotic stability of a periodic solution to an epidemic model
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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