Problem:

An ecologist wants to know if diversity in a forest system is likely to decrease when an invasive species is introduced. This invasive species is a fast-growing annual plant that grows on oak trees and kills them. The invasive species can only survive on living oak trees. The ecologist has the original model from this lab and another version of the model which includes transitions that involve the invasive species.

Required:

Question 1: Transition rate to the invasive and the invasive has a positive transition to grass.

Question 2: A model in which oak has a positive transition rate to the invasive and the invasive has a positive transition to oak.

Question 3: A model in which the invasive has a positive transition rate to oak and oak has a positive transition to grass.

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