Tumor growth, $R$-positivity, Multitype branching and Quasistationarity

Abstract

Motivated by tumor growth models we establish conditions for the $R-$positivity of Markov processes and positive matrices. We then apply them to obtain the asymptotic behavior of the tumors sizes in the supercritical regime.

References in corpus (3)

• Branching diffusions, superdiffusions and random media
• General criteria for the study of quasi-stationarity
• Practical criteria for R-positive recurrence of unbounded semigroups