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You are studying a density-dependent elephant population that has the following relationships for the birth rate...

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Biology

You are studying a density-dependent elephant population thathas the following relationships for the birth rate (b) and thedeath rate (d), as functions of N.

b=0.10+0.03N-0.0005N^2

d=0.20+0.01N

Plot these functions on the same graph (on a separate page).Using Excel can help you with this: plug into the equation a rangeof numbers for N from 1 to 60 or so elephants. How many equilibriumpoints are shown by your graph? You do not have to calculate thevalues of the equilibria, but indicate where they occur on thegraph with arrows that show the population size at the equilibriumpoint(s) (2 points)

Stability is a quality of an equilibrium point such that whenthe population is perturbed away from that point, it will return tothat equilibrium density. To determine the stability, predict whatwill happen when N is near, but not at, each equilibrium point anddetermine the trajectory of the population by comparing therelative magnitudes of b and d at your chosen points. Which one(s)of the equilibrium points are stable? Explain your reasoning. (2points)

How does this model differ from the logistic growth equation? (1point)

Answer & Explanation Solved by verified expert
4.0 Ratings (434 Votes)
There are two equilibrium points shown in the graphwhere b and d graph meetsTo determine the stability    See Answer
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