Question: suppose you are interested in how the population size of...

Suppose you are interested in how the population size of the annual herb Polygonum douglasii growing on a mountainside in Colorado changes over time. You are pretty sure that this population is closed, meaning that there are no immigrants (individuals entering the population) or emigrants (individuals leaving the population) as seeds. In this case the only processes that affect the growth of this population are births and deaths. If this population is growing at a rate of 20% per year; write the discrete time dynamical system for the population.