Assume that the growth of peacocks obey the rule dP : p³ – 17P² – 38P dt - Here P represents the population of peacocks and t represents the time variable. (a) Find all biologically reasonable equilibrium points. (b) Determine the stability of each biologically reasonable equilibrium. (c) Draw a phase-line diagram. (d) If there are initially 19 peacocks, how many will there be eventually?

Assume that the growth of peacocks obey the rule dP : p³ – 17P² – 38P dt - Here P represents the population of peacocks and t represents the time variable. (a) Find all biologically reasonable equilibrium points. (b) Determine the stability of each biologically reasonable equilibrium. (c) Draw a phase-line diagram. (d) If there are initially 19 peacocks, how many will there be eventually?

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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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.

Question

Assume that the growth of peacocks obey the rule
dP
p3 – 17P² – 38P
dt
Here P represents the population of peacocks and t represents the time variable.
(a) Find all biologically reasonable equilibrium points.
(b) Determine the stability of each biologically reasonable equilibrium.
(c) Draw a phase-line diagram.
(d) If there are initially 19 peacocks, how many will there be eventually?

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