Let the total population size at time t be denoted by N(t). We divide the population N(t) into four subclasses: potential smokers (nonsmoker) P(t), smokers S(t), smokers who tem- porarily quit smoking Q,(t), and smokers who permanently quit smoking Q₂ (t), such that N(t) = P(t) + S(t) + Q₂(t) + Qp(t). We describe the dynamics of smoking by the following four nonlinear differential equations: dp dt=H-HP-BPS, ds - (µ+ y) S + BPS + αSQ₁ dt dQ₂ = −µQ₁ - αSQ₁ + y(1-0) S, dt dQp = = −μQp + σys. dt
Let the total population size at time t be denoted by N(t). We divide the population N(t) into four subclasses: potential smokers (nonsmoker) P(t), smokers S(t), smokers who tem- porarily quit smoking Q,(t), and smokers who permanently quit smoking Q₂ (t), such that N(t) = P(t) + S(t) + Q₂(t) + Qp(t). We describe the dynamics of smoking by the following four nonlinear differential equations: dp dt=H-HP-BPS, ds - (µ+ y) S + BPS + αSQ₁ dt dQ₂ = −µQ₁ - αSQ₁ + y(1-0) S, dt dQp = = −μQp + σys. dt
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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Confirm that the total population in this model remains constant.
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