Unformatted text preview: constructing some cobwebs for non-decreasing f ’s). Notice that contest competition is a special case. Suppose that f is continuously diFerentiable and that the ±xed points are isolated and that f ′ is never equal to 1 at each ±xed point. Show (geometrically) that the ±xed points alternate bewteen monotonically stable and monotonically unstable. 4. Verify the occurrence of a transcritical bifurcation for Hassel’s equation at the bifurcation point ( R ,x ) = (1 , 0). * MAP 4484 / 5489; Instructor: Patrick De Leenheer. 1 It may be helpful to review the chapter on Sequences as it is taught in your Calc course. 1...
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- Summer '06
- Equals sign, Bifurcation theory, Transcritical Bifurcation, basic reproductive ratio, solution sequence Nt