In this lab. we consider logistic models of population growth that have been modified to include terms that account for “harvesting:’ In particular. you should imagine a fish population subject to various degrees and types of fishing. The differential equation models are given below. (Your instructor will indicate the values of the parameters k. N. a , and a2 you should use. Several possible choices are listed in Table 1.10.) In your report. you should include a discussion of the meaning of each variable and parameter and an explanation of why the equation is written the way it is We have discussed three general approaches that can he employed to study a differential equation: Numerical techniques yield graphs of approximate solutions. geometric/qualitative techniques provide predictions of the long-term behavior of the solution and in special cases analytic techniques provide explicit formulas for the solution. In your report you should employ as many of the techniques as is appropriate to help.
All the detail are in the pdf below, also has a original video from our professor, truly need help for this lab!