title: Global asymptotic stability of a periodic solution to an epidemic model.
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.
mesh_terms: D004813:Epidemiology; D006801:Humans; D008288:Malaria / Q000453:epidemiology / Q000635:transmission; D008433:Mathematics; D008954:Models, Biological