Consider the following differential equation system which describes the interaction between two species.
Β αΊ = 0.2x β 0.0002x2 β 0.006π₯π¦
π¦Μ = 0.015π¦ + 0.0008π₯π¦
a) What type of interaction is modeled by the system? What is the significance of the variables?
b) Find the equilibrium points and analyze their stability
The type of behavior is competing for exclusion. Variables have the value of quantitative values of two independent factors.
"\\frac{\\delta Y}{\\delta y}=0.015+0.0008y=0"
"x=18.75"
"y=32"
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