Consider the following differential equation system which describes the interaction between two species.
π₯Μ = 2π₯ β 0.1π₯2β 1.1π₯π¦
π¦Μ = β11π¦ + 0.9π₯π¦ β 0.1π¦2
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.Β
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