Before revision:  One of the likely environmental fluctuations that happen in nature is the repeated cycle of substrate-rich conditions and starvation, called the "feast-famine cycle" . It is not trivial how bacteria can cope with the feast-famine cycle and evolve under such a situation since in the feast period faster growth is beneficial in competition, but faster growth will shorten the feast period. Furthermore, in the famine period, the tolerance to the starvation is needed, which may be negatively correlated with faster growth . We here study possible outcomes of population dynamics and evolution under the feast-famine cycle by a simple stochastic model .
After revision:  One of the likely environmental fluctuations that happen in nature is the repeated cycle of substrate-rich conditions and starvation, called the "feast-famine cycle" , by a simple stochastic model with the trade-off relationship between the growth rate and the growth yield or the death rate .