Consider a population P(t) satisfying the extinction- explosion equation dP/dt = aP² – bP, where B = aP² is the time rate at which births occur and D = bP is the rate at which deaths occur. If the initial population is P(0) = Po and Bo births per month and Do deaths per month are occurring at time t = 0, show that the threshold population is M = DoPo/Bo- %3D
Consider a population P(t) satisfying the extinction- explosion equation dP/dt = aP² – bP, where B = aP² is the time rate at which births occur and D = bP is the rate at which deaths occur. If the initial population is P(0) = Po and Bo births per month and Do deaths per month are occurring at time t = 0, show that the threshold population is M = DoPo/Bo- %3D
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning