A global analysis of a multistrain viral model with mutations

CDSNS Colloquium
Monday, January 26, 2009 - 4:30pm for 2 hours
Skiles 255
Sergei Pilyugin – University of Florida
Yingfei Yi
I will present a generalization of a classical within-host model of a viral infection that includes multiple strains of the virus. The strains are allowed to mutate into each other. In the absence of mutations, the fittest strain drives all other strains to extinction. Treating mutations as a small perturbation, I will present a global stability result of the perturbed equilibrium. Whether a particular strain survives is determined by the connectivity of the graph describing all possible mutations.