A population growing with harvesting will behaveaccording to the differential equationdydty(0)= 0.08y (1 - 3000)= = YoC =- CFind the value for c for which there will be only oneequilibrium solution to the differential equationIf c is less than the value found above, there will beequilibria. If c isgreater than the value found above, there will beequilibria.

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Answered: A population growing with harvesting…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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1. A population grows continuously at the rate of 8% per year. How long does it take for the population to double ? Use differential equation it.
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A virus has already infected 4 million people in a country before a vaccine becomes available to the public. Once vaccination starts, the number of infected people decreases at a rate that is proportional to the cube of the number of infected people. One month later, there are still 2 million people that are infected. Let p be the number of infected people (in millions) and t be the number of months since vaccination has started. (a) Find a differential equation and initial conditions to model the situation. (b) Solve the differential equation to find pp as a function of t (c) How many people are still infected three months after vaccination starts?

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