MATH 1215 Lecture Notes - Lecture 6: Bifurcation Diagram, Logistic Function, Stability Theory
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Math 1215 third project december 4, 2017. General instructions: this project may be done in a groups of at most three students. If more than three authors are listed, the project will not be graded: only one copy of the project should be submitted for each group, all projects must be stapled. If the marker nds two projects that look very similar this will be reported as cheating. A di erential equation to model whaling in the north atlantic. The general di erential equation for logistic growth with harvesting is of the following form: dw dt. Here is r indicates the growth rate of the species without harvesting and the harvesting aspect is modelled in the last part, letting the harvest rate depend on the size of the population. This has the e ect that if the population grows close to 1, the harvest rate is close to h, but if the population is small, we reduce the harvest rate.
