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Let's change the signs a bit: M' = aM - BMH H' = XH - MH This is no longer a model for a predator-prey relationship. What might it be modeling instead? There are different versions of this basic system of equations that are used to model different types of relationships in nature. These are called Lotka-Volterra systems.

Let's change the signs a bit: M' = aM - BMH H' = XH - MH This is no longer a model for a predator-prey relationship. What might it be modeling instead? There are different versions of this basic system of equations that are used to model different types of relationships in nature. These are called Lotka-Volterra systems.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 44E
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7. In class, we learned about the predator-prey system of differential equa- tions. Here's a system using mice M (t) and hawks H(t), with t measured in days. M' = aM - BMH H' = −λH +yMH
Transcribed Image Text:7. In class, we learned about the predator-prey system of differential equa- tions. Here's a system using mice M (t) and hawks H(t), with t measured in days. M' = aM - BMH H' = −λH +yMH
Let's change the signs a bit: M' = aM - BMH Η' = λΗ – ΥΜΗ This is no longer a model for a predator-prey relationship. What might it be modeling instead? There are different versions of this basic system of equations that are used to model different types of relationships in nature. These are called Lotka- Volterra systems.
Transcribed Image Text:Let's change the signs a bit: M' = aM - BMH Η' = λΗ – ΥΜΗ This is no longer a model for a predator-prey relationship. What might it be modeling instead? There are different versions of this basic system of equations that are used to model different types of relationships in nature. These are called Lotka- Volterra systems.
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