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Predator-Prey Systems: Example 2: Part 1

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First published at 23:25 UTC on February 27th, 2018.

Math Easy Solutions

MES

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In this video I go over another example on Predator-Prey systems and this time modify the Lotka-Volterra equations by modeling the prey population by using a logistic model, while keeping the predator model the same. In part 1 of this example I go over parts a) and b) which involve finding the equilibrium solutions, as well as showing that in the absence of the predators, the prey population simply approaches the carrying capacity, as expected using the logistic model. In the next part of the example I go over the graphing phase trajectories and solutions curves for the predator and prey populations (represented by rabbits and wolves), so stay tuned for that!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIht1lJLaoUDRpxlP3wQ

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/predator-prey-systems-example-2-part-1

Related Videos:

Predator-Prey Systems: Example 1: Part 2: https://youtu.be/Jvpl1qpBLa8
Predator-Prey Systems: Example 1: Part 1: https://youtu.be/dkQYqI4FXxA
Differential Equations: Predator-Prey Systems: https://youtu.be/b3NCjsZhQdQ
Linear Differential Equations: https://youtu.be/T3MliJDBaxc
Differential Equations: Exponential Growth and Decay: https://youtu.be/DZtDUIZuxcg
Differential Equations: Separable Equations: https://youtu.be/pBV-xT9ty94
Differential Equations: Population Growth: Logistic Equation: https://youtu.be/yE8aoY8Bks4 .

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