# A) You are studying a population of aphids with an initial population size of 500. During...

###### Question:

a) You are studying a population of aphids with an initial population size of 500. During a one-month period, you observe 40 births and 15 deaths in the population. Estimate the value of r for that month, and predict the population size in three months (from the initial population size). Remember that r is the per capita rate of population increase. (Assume exponential population growth).

b) Imagine you are growing ciliates in a laboratory flask. The carrying capacity is 1000 ciliates, and r is 0.2 individual / (individual X month). Assuming the population is growing according to the logistic model, what is the maximum growth rate the population can achieve?

c) Imagine you are studying competition between red and gray squirrels on campus. For the red squirrel, K1 = 100 and α = 2. For the gray squirrel, K2 = 150 and β = 3. Graph the phase plane diagram and zero growth isoclines for each species. If the initial population 5) You are stadying a population of aphids with an initial population size of 500. During a one- month period, you observe 40 births and 15 deaths in the population. Estimate the value of r for that month, and predict the population size in three months (from the initial popalation size). Remember that r is the per capita rate of popalation increase. (Assume exponential population growth.) 6) Imagine you are growing ciliates in a laboratory flask. The carrying capacity is 1000 ciliates, and r is 0.2 individual(individual month). Assuming the population is growing according to the logistic model, what is the maximum growth rate the population can achieve? 7) Imagine you are studying competition between red and gray squirrels on campus. For the red squirrel, K1-100 and a-2. For the gray squirrel, K2- 150 and p- 3. Graph the phase plane diagram and zero growth isoclines for each species. If the initial population sizes are 25 red squirrels and 50 gray squirrels, how will each population change in size and what will be the final outcome of interspecific competition?

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