I have a few assignment question, which I cannot comprehend. I'd appreciate it if someone could rephrase what the assignment may be asking ... I've supplied my answers/ideas too. Although, I think they may be incorrect, due to the lack of my understanding of what the question wants ....
"The very simple population model for a resource limited population with constant immigration, and no breeding, M'(t) = M(S-M) + I attempts to describe the growth of corals on a reef. Function M(t) represents the biomass of corals."
"a - Explain which term gives the immigration of juveniles onto the reef.
b - Describe the presumptions being made about the growth rate of corals at their different ages and sizes.
c - Determine if the biomass of corals tends to a limiting amount as .
d - Suppose a coral reef has completely died, due to excessive cyanide fishing. Find and describe what this model suggests will be the pattern of its recovery."
"a - Is the immigration denoted as "I", because as immigration is constant, the I has 'constant effects' on the equation?
b - Is it correct to presume that the growth rate of the corals are constant, irregardless of their age and size?
c - Do we have to integrate the M'(t)?
d - a regrowth rate represented by a logarithmic function?"
Thank you for all help provided.