1. Suppose that rabbits are the only prey and food supply of foxes, and that the predator-prey interaction follows Lotka-Volterra dynamics. The mortality rate of foxes in the absence of rabbits is 0.1 per week, and the intrinsic growth rate of rabbits in the absence of predation is 0.2 per week. The capture efficiency is 0.002, and the efficiency at which rabbit biomass is converted into fox biomass is 0.2. a. If there are 30 foxes in a population and 400 rabbits are present, the rate at which prey will be killed (consumption rate) is per week. b. If there are initially 30 foxes and 400 rabbits, the overall rate of change in the rabbit population will be: c. If there are initially 30 foxes and 400 rabbits, the net growth rate in the fox population will be: d. If the number of rabbits and foxes double, but the search efficiency stays the same, what will happen to the number of rabbits killed? Does it double, too?

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1. Suppose that rabbits are the only prey and food supply of foxes, and that the predator-prey
interaction follows Lotka-Volterra dynamics. The mortality rate of foxes in the absence of
rabbits is 0.1 per week, and the intrinsic growth rate of rabbits in the absence of predation is 0.2
per week. The capture efficiency is 0.002, and the efficiency at which rabbit biomass is
converted into fox biomass is 0.2.
a. If there are 30 foxes in a population and 400 rabbits are present, the rate at which prey will be
killed (consumption rate) is
per week.
b. If there are initially 30 foxes and 400 rabbits, the overall rate of change in the rabbit
population will be:
c. If there are initially 30 foxes and 400 rabbits, the net growth rate in the fox population will be:
d. If the number of rabbits and foxes double, but the search efficiency stays the same, what will
happen to the number of rabbits killed? Does it double, too?
Transcribed Image Text:1. Suppose that rabbits are the only prey and food supply of foxes, and that the predator-prey interaction follows Lotka-Volterra dynamics. The mortality rate of foxes in the absence of rabbits is 0.1 per week, and the intrinsic growth rate of rabbits in the absence of predation is 0.2 per week. The capture efficiency is 0.002, and the efficiency at which rabbit biomass is converted into fox biomass is 0.2. a. If there are 30 foxes in a population and 400 rabbits are present, the rate at which prey will be killed (consumption rate) is per week. b. If there are initially 30 foxes and 400 rabbits, the overall rate of change in the rabbit population will be: c. If there are initially 30 foxes and 400 rabbits, the net growth rate in the fox population will be: d. If the number of rabbits and foxes double, but the search efficiency stays the same, what will happen to the number of rabbits killed? Does it double, too?
Answers for question 1 please show work how you'll get the same answers. Thank you!
Question 1: la: 24; 1b: A gain of 56 rabbits; 1c: A gain of 1.8 1d: No, under the original
scenario the consumption rate was 24. Under this scenario the consumption rate is 96. The
consumption rate quadruples.
be offset.
I
Transcribed Image Text:Answers for question 1 please show work how you'll get the same answers. Thank you! Question 1: la: 24; 1b: A gain of 56 rabbits; 1c: A gain of 1.8 1d: No, under the original scenario the consumption rate was 24. Under this scenario the consumption rate is 96. The consumption rate quadruples. be offset. I
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