Mathematics

Influenza is a viral infectious disease of high importance and widely studied around the world. In this study we model the within-host transmission of influenza in a continuous deterministic setting (system of ordinary differential equations) and a discrete stochastic framework (discrete-time Markov chain model). Previous models omit cellular restoration through cellular death, which is a key component for the possibility of chronic infections, this is further captured by a spatial-temporal model with the inclusion of density dependence.

(This is REU 2019 project, undergraduate students are highly encouraged to attend)