Financial support through the following projects:
UID/MAT/00297/2019
UID/MAT/00297/2013
PEst-OE/MAT/UI0297/2014
PEst-OE/MAT/UI0297/2011
Carlota Rebelo, CMAFCIO/FC/UL
Data: 26/2/2018
Hora: 14h00
Local: Sala 1.19- Edifício VII, FCT-UNL
Abstract:
Mathematical analysis is a useful tool to give insights in very different mathematical biology problems.
In this talk we will present two examples of this fact. First of all we consider a simple epidemiological model with heterogeneity and discuss the relation between variance in the susceptibility of the individuals and prevalence of infection.Then we consider predator-prey models. Using the notion of basic reproduction number $R_0$, given by Nicolas Baca\"er in the case of periodic models, we prove uniform persistence when $R_0 >1$. We will give some examples such as models including competition among predators, prey- mesopredator-superpredator models and Leslie-Gower systems.
This talk is based in joint works with N. Baca\"er, M. Garrione, M.G.M. Gomes and A. Margheri.