Population growth of any species is frequently modeled by an ODE of the form NP N(0) = No where N is the population, aN represents the birthrate, and bN represents the death rate due to all causes, such as disease, competition for food supplies, and so on. If N, = 100,000, a = 0,1, and b !! 0.00008, calculate N(t) using fourth order Runge-Kutta method for t = 0.0 to 20.0 years with h = 4.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 23E
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Population growth of any species is frequently modeled by an ODE of the form
NP
= aN-bN2
N(0) = No
dt
where N is the population, aN represents the birthrate, and bN represents the death rate due to all
causes, such as disease, competition for food supplies, and so on. If N, = 100,000, a 0,1, and b =
0.00008, calculate N(t) using fourth order Runge-Kutta method for t = 0.0 to 20.0 years with h = 4.
%3D
Transcribed Image Text:Population growth of any species is frequently modeled by an ODE of the form NP = aN-bN2 N(0) = No dt where N is the population, aN represents the birthrate, and bN represents the death rate due to all causes, such as disease, competition for food supplies, and so on. If N, = 100,000, a 0,1, and b = 0.00008, calculate N(t) using fourth order Runge-Kutta method for t = 0.0 to 20.0 years with h = 4. %3D
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