6) Consider the following model of predator-prey interaction where the prey x grows logistically in the absence of predator y: x' = ax(K – x) – bxy y' = -cy + dxy Assuming the parameters, a, b, c, d,...

Need some help with ODE system please, Thanks

Extracted text: 6) Consider the following model of predator-prey interaction where the prey x grows logistically in the absence of predator y: x' = ax(K – x) – bxy y' = -cy + dxy Assuming the parameters, a, b, c, d, and K are all positive, find conditions (on the parameters) so that there exists a stable equilibrium with x > 0 and y > 0. (Hint: There is only one condition and it is fairly simple).