Question: To gain extra practice complete the question by creating a differential equation using the information from the bullets below. The garibaldi is a large orange
To gain extra practice complete the question by creating a differential equation using the information from the bullets below.
The garibaldi is a large orange fish that lives off the coast of California and Baja California. Use the assumptions below to write a differential equation for the size of an adult garibaldi population. (This is not mandatory, but only available to help you gain better understanding of the material, therefore there will be no portal for you to turn it in. You will not turn this in for points/grades
- The number of adults joining a population is the number of eggs laid times the fraction that hatch times the fraction that survive to adulthood.
- Garibaldis lay eggs at a constant per capita rate, b.
- Because garibaldis sometimes eat their own eggs, the fraction of eggs that hatch is
a declining sigmoid function of the adult population.
- Larval garibaldis float as plankton before becoming adults and joining a population. Thus, the number of individuals joining a population is proportional to the number that hatched six years earlier, with proportionality constant r.
- Adult garibaldis die at a constant per capita rate d.
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