Su09_Final_Exam-D.Champney

# Su09_Final_Exam-D.Champney - Final Exam Math 16B Summer...

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Final Exam, Math 16B, Summer 2009 Name: _______________________________________________________________________ Student ID #: __________________________________________________________________ By turning in this exam, completed, you are indicating that you did your own work and are in compliance with all university academic honesty policies. Evidence of less than original work will result in a grade of zero. There are 7 pages and 10 questions on this exam, in addition to the take home portion of the exam. By turning it in, you are indicating that you are not missing pages, problems, or access to any part of the test that would unfairly lower your score by no fault of your own. For instructor: (1) _____ (2) _____ (3) _____ (4) _____ (5) _____ (6) _____ (7) _____ (8) _____ (9) _____ (10) _____ home _____ Exam Score __________________________ / 120 General Comments:

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( ) (12 points) Read carefully ---- The famous “Lotka-Volterra” equations for modeling predator/prey relationships are given by: dx dt = x ( α β y ) = x xy dy dt = y ( γ δ x ) = xy y where , , , are constants, x represents the size of population of the prey , y represents the size of the population of predators, and t is time [unit-less]. (a) Below are four English descriptions of the four parameters , , , . Please match the parameter with its description. ______Population growth constant for predators ______Predation rate [predators on prey] ______Population growth constant for prey ______ Rate of natural death of predators (b) What are some real-life parameters that impact predator/prey relations that are not captured by this model? [in other words, what assumptions do you make by using this model] (c) Below is a graph showing the size of predator and prey populations over time. Explain what’s
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Su09_Final_Exam-D.Champney - Final Exam Math 16B Summer...

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