Population crash The logistic model can be used for situations in which the initial population P0 is above the carrying capacity K. For example, consider a deer population of 1500 on an island where a fire has reduced the carrying capacity to 1000 deer. a. Assuming a base growth rate of r0 = 0.1 and an initial population of P102 = 1500, write a logistic growth function for the deer population and graph it. Based on the graph, what happens to the deer population in the long run? b. How fast (in deer per year) is the population declining immediately after the fire at t = 0? c. How long does it take the deer population to decline to 1200 deer?

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A: Topic:- logistics growth function

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.