Since your vessel is plastic, the problem is more complex. Plastic typically creeps, even at room temperature, so you have a time dependent buckling problem, in which creep response is a consideration. The is a paper from many years ago by Donald Griffin, Inelastic and Creep Buckling of Circular Cylinders Due to Axial Compression, Bending, and Twisting wherein secant and tangent modulus from isochronous creep curves are used to predict time dependent buckling. This could be used for guidance. The formula for creep buckling of a cylinder due to external pressure is stresscritical=((EsEt/(3(1-v^2)))^0.5)*t/r where Es is secant modulus, Et is tangent modulus, t is thickness, r is mean radius, and v=0.5-(0.5-Poisson's ratio)Es/E, and E is elastic modulus.
The difficulty will be establishing the tangent and secant modulus. An appropriate factor of safety would also need to be applied.