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Population Growth: Other Models: Harvesting: Example 2
In this video I continue further into the series on other models for population growth as opposed to the basic logistic and exponential models. This time I look again at the modification of the logistic equation by adding a negative constant to it, which in terms of a fish population represents the harvesting or collecting of fish at a constant rate. This time I look at varying the values of the constant and graphing the resulting direction fields to see where the equilibrium solutions occur as well as determining at which c-values that no equilibrium solutions occur. When no equilibrium arises, this means that the fish population keeps decreasing until it completely dies offs, which indicates that overfishing took place. This is a very important video on using differential equations to model and affect decisions that fishers and fishing industries must make, so make sure to watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhtcFpnBVvQFbrFy5XQ

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/population-growth-other-models-harvesting-example-2

Related Videos:

Population Growth: Other Models: Harvesting: Example 1 Part 2: https://youtu.be/l1n6WUOxYCs
Population Growth: Other Models: Harvesting: Example 1 Part 1: https://youtu.be/ZLQEJwViIw0
Population Growth: Introduction to Other Models: https://youtu.be/-l5Anv9VA3M
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA
Differential Equations: Logistic Equation: Analytic Solution: https://youtu.be/BlvLWTSYDDk
Differential Equations: Population Growth: Logistic Equation: https://youtu.be/yE8aoY8Bks4
Differential Equations: Population Growth: Proportionality Constant: https://youtu.be/y4cJX0rcXqw
Differential Equations: Exponential Growth and Decay: https://youtu.be/DZtDUIZuxcg
Differential Equations: Separable Equations: https://youtu.be/pBV-xT9ty94
Differential Equations: Euler's Method: https://youtu.be/VlwVl-3oPDM
Differential Equations: Direction Fields: https://youtu.be/zWv1y8Xp1ac
Simple Proof of the Quadratic Formula: http://youtu.be/9eQLZar3g6g
A Differentiable Function is Continuous: Proof: http://youtu.be/l4Kzzppb_88 .

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