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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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