Answer to Question #197135 in Economics for Ala Ana

Question

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. 

Answer 1

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