Answered: ds dt dQt dt dP dt = μ-μP-BPS, :-(µ +…

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ds dt dQt dt dP dt = μ-μP-BPS, :-(µ + y) S + BPS + αSQ₁ = = −µQ₁ - αSQ₂ + y(1-0) S.

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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Question

Show that the smoking free equilibrium E0 = (P0, S0, Qt0 ) = (1, 0, 0) and the smoking present equilibrium E* = (P *, S* , Q* t ), by setting the right-hand side of the equations in the model to
zero.

ds
dt
dQ₂
dt
dP
= μ-μP-BPS,
dt
- (μ + y) S + BPS + aSQ₁
= −µQ₁ - αSQ₁ + y (1-0) S.

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