Question

Assumptions for the Model
1. The generations are distinct (making this a discrete system).
2. Each rabbit pair will be ready to reproduce at the end of the second generation (born in Generation 1, develop in Generation 2, first offspring in Generation 3).
3. Each pair of mature rabbits has one pair of offspring in each generation.
4. The model assumes that rabbits will live forever. It does not assume that there is a life expectancy for rabbits.
5. The model assumes that rabbits will continue to have offspring forever. It does not assume that rabbits will stop having offspring after a certain number of generations.
Question
Now let us change assumption 2 and instead assume that rabbits do not have offspring until the 4th generation (instead of the 2nd). Create another rabbit model to solve the question “How many generations will it take for the rabbit population to 100,000 rabbits?” under this modified assumption. Be sure to give an algorithmic description of this model in terms of a recurrence relation and also build your model into Excel.

Answer 1