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

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Systems of differential equations applications

Systems of differential equations applications

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

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Systems of differential equations applications

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- [Instructor] You have learned a lot up to this point about Systems of Differential Equations. There are various applications for systems of differential equations, especially with physical phenomena. This includes applications in chemistry, epidemiology, biology, engineering, physics, and more. In this video, let's explore two of those practical applications. Let's begin with the predator-prey model, which is the Lotka-Volterra model. And this is a linear version of the model where you have dP/dt equals alpha multiplied by capital P minus beta, multiplied by capital P, multiplied by H0. And then you have your second equation, which is dH/dt equals negative gamma, multiplied by capital H plus delta, multiplied by capital P, multiplied by capital H0. In this case, capital P is the prey population. H0 is the predator population which typically this is just H, but in this version you will assume it is small enough to make it linear, treating it more so as a constant value instead of a…

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