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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 36CR
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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.
Transcribed Image Text:ds dt dQ₂ dt dP = μ-μP-BPS, dt - (μ + y) S + BPS + aSQ₁ = −µQ₁ - αSQ₁ + y (1-0) S.
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