Qualitative analysis and traveling wave solutions for the SI model with vertical transmission
Language
en
Article de revue
This item was published in
Communications in Pure and Applied Analysis. 2011-09, vol. 11, n° 1, p. 97-113
English Abstract
In this note we analyze a spatially structured SI epidemic model with vertical transmission, a logistic effect on vital dynamics and a density dependent incidence. For a bounded spatial domain we show global stability of ...Read more >
In this note we analyze a spatially structured SI epidemic model with vertical transmission, a logistic effect on vital dynamics and a density dependent incidence. For a bounded spatial domain we show global stability of the endemic state when it is feasible. Then we look at the existence of travelling wave solutions connecting the endemic and the disease free states.Read less <
English Keywords
Spatially structured SI model
global stability
travelling wave solutions
Origin
Hal imported