Global asymptotic stability of a periodic solution to an epidemic model
Author:
- 1 November 1982
- journal article
- Published by Springer Nature in Journal of Mathematical Biology
- Vol. 15 (3) , 319-338
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.Keywords
This publication has 6 references indexed in Scilit:
- Global asymptotic stability of a periodic solution to an epidemic modelJournal of Mathematical Biology, 1982
- Global asymptotic stability for a vector disease model with spatial spreadJournal of Mathematical Biology, 1980
- Generation of analytic semigroups by strongly elliptic operators under general boundary conditionsTransactions of the American Mathematical Society, 1980
- Stability analysis for a vector disease modelRocky Mountain Journal of Mathematics, 1979
- Periodic Solutions of a Periodic Nonlinear Delay Differential EquationSIAM Journal on Applied Mathematics, 1978
- On periodic solutions of a delay integral equation modelling epidemicsJournal of Mathematical Biology, 1977