Pawesuppressl Lorek, University of Ottawa, MAT 1330D, Winter 2009Assignment 2, due March 4, 17:30 in classStudent NameStudent NumberProblem 1:[4 points] Consider the following DTDS:Mt+1=8M2t15 +M2tAnalyze this DTDS, i.e., determine the biologically relevant fixed points (i.e. equilibria)and their stability. Draw the updating function and use cobwebbing to illustrate andconfirm your analytical results.Problem 2:[8 points]Consider the following nonlinear DTDS for growing population with harvesting:xt+1=f(xt) = 4xt(3-xt)-hxt,whereh≥0 denotes the intensity of harvesting.(a) [4p] Analyze this DTDS, i.e., determine the biologically relevant fixed points andtheir stability. Summarize your results in the form of a little table:range ofhfixed point(s)stability(b) [2p] Draw the updating function and use cobwebbing forh= 10
This is the end of the preview.
access the rest of the document.