The Komododragons who appear to have no predators could have a rate of change of population determined by a logistic model:
where is the population growth rate coefficient for small populations and is the carrying capacity of the island when there is a static population of dear .
Then the eqivalent equation for dear might be:
where the extra term represents the predation rate due to the Komodo dragon population.
You will also get a similar equation for the Plant population.