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Logistic Equations

The Logistic Equation and Models for Population - Example 1, part 1.
In this video, we have an example where biologists stock a lake with fish and after one year the population has tripled. Knowing the carrying capacity, Patrick finds a formula for the the population at time ' t ' using the analytic solution.

 

The Logistic Equation and Models for Population - Example 1, part 2.
In this video, Patrick finds how long it actually takes for the population of fish to reach a total of 4,000.

 

 

The Logistic Equation and the Analytic Solution.
In this video, Patrick finds the analytic solution to the logistic differential equation.

 

 

 

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