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!

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