should be answered with python code use numpy and scipy

Problem 1 Suppose that we have two-species competing with each other. Let these species be I and y and denote the differential equations modeling their behavior by i = 3c(1 ) ry (1a) y = 5y(1 y) - 2ry (16) The model is described as follows: x has a growth rate denoted by (31(1 2)) in (1a), while y has a death rate denoted by 2.cy in (1b). The expression 5y(1 - y) in (1b) denotes the growth rate of y from hunting the species r. The expression -ry in (1a) denotes the death rate r as a result of being hunted. Note that species y has a higher intrinsic growth rate than species 2 (5 > 3), but species i exerts more predation pressure on y than y does on 2 (2ry > ry). So, just from looking at the equations, it is not clear if one species will outcompete the other, of if they will be able coexist. Your task is to determine which of these outcomes prevails. Questions (38 marks) 1. sketch the nullclines. Note that we are only interested in the 1st quadrant where I > 0 and y> 0. 2. Find the steady states. 3. Determine the stability of each steady state. 4. Plot the phase plane and a few solutions. Explain how your phase plane is consistent with the results in Question 3. 5. Explain, using all of your analytic and numeric work, whether the outcome is coexistence of both species, or extinction of one