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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Mathematics

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17 March, 15:30

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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Monserrat Randall · 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