302 exam 3

302 exam 3 - NAME Francis Scott Key Francis Scott Key...

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Unformatted text preview: NAME: Francis Scott Key Francis Scott Key Francis Scott Key Francis Scott Key LAB INSTRUCTOR: Charles Darwin Charles Darwin Charles Darwin Charles Darwin 1 Page score EEB 302 ) third hourly examination ) fall 2006 Put your name at the top of each page NOW. All questions worth 10 points. ANSWER IN THE SPACE ALLOWED OR LESS. Do not use an example twice in this exam. Use graphs or equations in your answers wherever you want to or need to. You may need some of the following equations: d V /d t = rV - : P d P /d t = $: P- dP d V /d t = rV (K - V )/K - : P d V /d t = rV (K - V )/K - ( kPV )/( P + V ) d P /d t = ( $ kPV )/( P + V ) - dP d N i /d t = r i N i (K i- N i- " i,j N j )/K i d N j /d t = rN j (K j- N j- " j,i N j )/K j 1 . The state space below shows the zero isoclines of a two-species competition. What are the variables of the state space? Label the space and fill it out as follows: First, put subscripted K-values in their appropriate positions on the axes. Now label the two isoclines with their species identifier ( N 1 or N 2 ). Put arrows in the various parts of the space to indicate the dynamics of both species. Circle the equilibrium and tell what kind of equilibrium it is. What is the outcome of the competition? (NOTE: There are two sets of correct answers depending on where you put the K-values.) d N 1 /d t = 0 K 2 ` b O _ a d N 2 /d t = 0 K 1 The equilibrium is stable (a steady state) (a stable node) at which the two species coexist. NAME: Francis Scott Key Francis Scott Key...
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This note was uploaded on 07/29/2008 for the course ECOL 302 taught by Professor Pavao during the Spring '08 term at Arizona.

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302 exam 3 - NAME Francis Scott Key Francis Scott Key...

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