Logistic Equation Assume that the size of a population evolves according to the logistic
Chapter 8, Problem 5(choose chapter or problem)
Logistic Equation Assume that the size of a population evolves according to the logistic equation with intrinsic rate of growth r = 1.5. Assume that the carrying capacity K = 100. (a) Find the differential equation that describes the rate of growth of this population. (b) Find all equilibria, and, using the graphical approach, discuss the stability of the equilibria. (c) Find the eigenvalues associated with the equilibria, and use the eigenvalues to determine the stability of the equilibria. Compare your answers with your results in (b).
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