Question 2: (1 point) Biologists have determined that a certain population of tilapia (a kind of fish) grows according to a Shepherd model, namely, the number of Tilapia per square kilometre of surface of the ocean (T/km-) satisfies the DTDS 5xt "t+1 = 1+ (xt/600)2 or t measured in years. (In case of printing problems: this is a fraction with numerator 5It and denominator 1 + (at /600) 2.) a) Find all fixed points of this DTDS (including any that are not biologically relevant) ON PAPER (2 points) : Write down the updating function and show your work and reasoning. Answer: FORMATTING: If there is more than one, separate them with a semi-colon (;). Give exact answers; do not round off. In Mobius, Va is written sqrt(a). b) (4 points) ANSWER ALL OF THE FOLLOWING QUESTIONS ON YOUR PAPER. The graph of the function is provided below and you do NOT need to copy it with accuracy to complete this question -- a sketch will do fine. SET UP a cobweb diagram for this DTDS 10/13/21, 8:36 AM University of Ottawa - 1. LABEL the axes and also give their units 2. LABEL all the functions and identify the biologically relevant fixed points. 3. DRAW at least one cobweb diagram to test the stability of the fixed point(s) in the diagram. 4. WRITE DOWN your conclusions about the stability of your biologically relevant fixed point(s). 1600- 1400- 1200 1000- 300 600 400 200- 0 200 400 600 800 1000 1200 1400 1600