A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Global stability in a competitive infection-age structured model

2020
*
Mathematical Modelling of Natural Phenomena
*

We study a competitive infection-age structured SI model between two diseases. The well- posedness of the system is handled by using integrated semigroups theory, while the existence and the stability of disease-free or endemic equilibria are ensured, depending on the basic reproduction number $R_0^x$ and $R_0^y$ of each strain. We then exhibit Lyapunov functionals to analyse the global stability and we prove that the disease-free equilibrium is globally asymptotically stable whenever

doi:10.1051/mmnp/2020007
fatcat:ls4r6776zncf5cc3n33l3a43eu