Consider the following differential equation system which describes the interaction between two species.
𝑥̇ = 2𝑥 − 0.1𝑥2− 1.1𝑥𝑦
𝑦̇ = −11𝑦 + 0.9𝑥𝑦 − 0.1𝑦2
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.
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