In the Lotka-Volterra predator-prey model dx/dt=-ax+bxy, dy/dt=ey-cxy, where x (t) is the predator population and y (t) is the prey population, the coefficient c represents which of the following:A) the predator die-off rateB) the prey growth rateC) the increase in the predator population due to interactions with the preyD) the decrease in the prey population due to interactions with the predator

Question

Aubrie Savage

Mathematics

28 February, 23:27

In the Lotka-Volterra predator-prey model dx/dt=-ax+bxy, dy/dt=ey-cxy, where x (t) is the predator population and y (t) is the prey population, the coefficient c represents which of the following:A) the predator die-off rateB) the prey growth rateC) the increase in the predator population due to interactions with the preyD) the decrease in the prey population due to interactions with the predator

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Answers (1)

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Chloe Case · Answer 1

D) the decrease in the prey population due to interactions with the predator

Step-by-step explanation:

We have that:

x is the predator population

y is the prey population.

The coefficient c appears in the equation of dy/dt. So this coefficient is related to the population of the prey. It appears with a minus sign, this means that the prey population decreases. It also multiplies x, so it means that it is related to the predator population.

The correct answer is:

D) the decrease in the prey population due to interactions with the predator