Consider the modified predator-prey system: x′ = (a - by - ϵ)x y′ = (-c + dx - ϵ)y where all constants are assumed to be positive. This extends the model by modeling an element of harvesting, which is detrimental to the rate of growth of both prey (x) and predator (y). Assuming ϵ < a, find the equilibrium points for the system.
Added by Jacob K.
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Step 1: To find the equilibrium points, we set x' and y' equal to 0 and solve for x and y. Show more…
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