Question

Use the Lotka-Volterra predator-prey model: If there are 30 foxes in a population and 400 rabbits are present, and the capture efficiency is 0.002, the rate at which prey will be killed is _______ per week.

Answer 1

The rate at which prey will be killed in the Lotka-Volterra predator-prey model can be calculated using the equation: K_rN_r - aN_fN_r. Given the specific values provided, the rate at which prey will be killed is 24 per week.

Step-by-step explanation:

The rate at which prey will be killed in the Lotka-Volterra predator-prey model can be calculated using the equation:
KrNr - aNfNr
Where:
Kr is the capture efficiency
Nr is the number of rabbits
Nf is the number of foxes
a is the predation coefficient

Given that there are 30 foxes and 400 rabbits in the population, and the capture efficiency is 0.002, we can substitute these values into the equation:
0.002 x 400 x 30 = 24

Therefore, the rate at which prey will be killed in this scenario is 24 per week.