Predator-Prey Systems: Example 3

In this video I go over another example on predator-prey systems for population growth of two species, but this time modify the Lotka-Volterra equations to instead model two species that compete or cooperate in obtaining resources. Two different sets of differential equations are presented, and in this example I show the steps involved in determining what kind of model each set is describing. This is done by seeing how the population growth of one species is affected by the increases or decrease of the population of the other species. If it's a mutual increase in population growth whenever either population increases, then this represents a cooperation model, such as a bees or insects pollinating flowers. On the other hand, if the populations of either species decreases with the increase of the other species, then this represents a model that shows two species fighting for the same species, such as a pair of plant-eating animals. This is a very good video to show how to read and understand systems of differential equations and how they can be used to model various real world phenomenon.

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Related Videos:

Predator-Prey Systems: Example 2: Part 2: https://youtu.be/ngfH2uoaWGg Predator-Prey Systems: Example 2: Part 1: https://youtu.be/LD2-ARezF7E 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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