Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics
Abstract
A spatio-temporal dynamics model is presented to study the effects of mutations on the persistence and extinction of bacteria under the antibiotic inhibition. We construct a mixed type Lyapunov functional to prove the global stability of extinction state and coexistence state for the case of forward mutation and forward-backward mutation respectively.
