In this video I go over another model for modeling population growth, and this time look at an example of a model that accounts for seasonal growth. Sometimes the growth rate is affected seasonally, such as the availability of food during summer vs. winter, etc., so it is important to account for this periodic variability in the differential equation model. To do this, it is often modeled through using a time dependent factor, usually in the form of a trigonometric function because of their periodic wave-like behavior.
In this video I derive the solution to such a seasonal-growth model, but in my next video I will look at analyzing the behavior of the solution with different values for the constants used in the model, so stay tuned for that video!
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhtoYJ-wyX1wSSS235g
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/population-growth-other-models-seasonal-growth-example-1-part-a
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I don't always model population growth but when I do I make sure to account for seasonal growth ;)
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/population-growth-other-models-seasonal-growth-example-1-part-a
It's good to read your article. Thanks for writing this article.