## 05.02.2018

### Alexis Erich Almocera

Multiscale Modeling of Infectious Diseases: Within- and Between-Host

Mathematical models shed light on the dynamics of infectious diseases and consequently inform public health policies. The last decade has seen an emergence of *multiscale disease models* linking the number of viral particles (within-host) to transmission rates (between-host). In this talk, we propose a simple dynamical system along this line that accounts for immune response. We characterize stability with a *basic reproduction number* (R0) for each of the within- and between-host scales. Our analysis culminates in a function that relates the two reproduction numbers.