Hello,

I need help with this problem I not sure how to solve this.

Please explain step-by-step. Thanks in advance!

Question:

A very simple two-compartment model for gap dynamics in a forest assumes that gaps are created by disturbances (wind, fire, etc.) and that gaps revert to forest as trees grow in the gaps. We denote by g(t) the area occupied and by a(t) the area occupied by adult trees. We assume that the dynamics are given by:

dg/dt= -0.9g+1.2a

da/dt= 0.9-1.2a

1. Solve the given system, assuming that g(0)=6 and a(0)=24.
2. At time t, what fraction of the forest is occupied by adult trees?
3. What happens as t--> infinity?