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(Solved): I have done parts i and ii, I need iii and iv. The values for the variables are r=.2, k=5, and a=1 ...



I have done parts i and ii, I need iii and iv. The values for the variables are r=.2, k=5, and a=1

When a population becomes small or when its environment is changed so that it becomes more difficult to find a mate, the grow

When a population becomes small or when its environment is changed so that it becomes more difficult to find a mate, the growth rate can become negative. This phenomenon is called the Allee effect and can be modeled by modifying the logistic equation as follows: Assume that deer for the population of deer under consideration. i. Find the equilibrium solutions for this new model. ii. Plot the slope field for this differential equation. What can you say about the population of deer in the long term given an initial population? iii. If the initial population is is , approximately how many deer will there be after 2 years? iv. For what value of will ?


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If the initial population is P0=0.6, we can use the logistic equation to approximate the number of deer after 2 years.
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