- Populations of birds and insects are modelled by the differential equations dx/dt = 4x −...

- Populations of birds and insects are modelled by the differential equations

dx/dt = 4x − 0.2xy and dy/dt = −2y + 0.08xy

(a) Which of the variables, x or y, represents the bird population and which represents the insect population? Explain why.

(b) Find the equilibrium solutions, and explain their meaning.

(c) Find an expression for dy/dx in terms of x and y.

Expert Solution

milcah answered 2 years ago

dx/dt = -5x + y , dy/dt = 4x - 2y

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