Start with what you already have:
syms X(t) y(t) Y
k = 0.0440;
C_A0 = 0.3045;
epsilon = 2;
alpha = 0.001;
F_A0 = 2.5;
rho = 0.001;
ode1 = diff(y) == -(alpha/2*y)*(1+epsilon*X)*rho;
ode2 = diff(X) == k*C_A0*(1-X)/(F_A0*1+epsilon*X)*y*rho;
then use odeToVectorField and matlabFunction (linked to in that doeumentation) to create your ODE anonymous function.
This appears to be a homework assignment, so I leave the rest to you.