From the course: Complete Guide to Differential Equations Foundations for Data Science

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Nonlinear differential equations and systems applications

Nonlinear differential equations and systems applications

From the course: Complete Guide to Differential Equations Foundations for Data Science

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Nonlinear differential equations and systems applications

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- [Instructor] It is time to wrap up this chapter by exploring some non-linear differential equation applications. Let's review a few applications with three examples. Let's get started. You'll begin by looking at a non-linear population growth model that also deals with harvesting. Note that this population growth model is logistic. This model is given by the differential equation D capital P DT equals R multiplied by capital P multiplied by and then parenthesis one minus capital P divided by capital K, and then subtract that by H. In this model you have your population size, which is capital P of T, sometimes just notated as capital P. Then you have your growth rate, which is represented by R, your carrying capacity, which is represented by capital K, and then your constant harvesting rate, which is represented by H. Let's begin by finding the equilibrium points for this model. So here you have D, capital P, DT equals R multiplied by capital P multiplied by one minus capital P…

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