We study a parabolic ODE system modeling tumour growth proposed by Othmer and Stevens . In use of the transformation of Levine and Sleeman , we reduce it to a hyperbolic equation with strong dissipation. Then, we show the existence of collapse in arbitrary space dimension by the method of energy.
"Asymptotic behavior of the solution to a parabolic ODE system modeling tumour growth." Differential Integral Equations 17 (7-8) 721 - 736, 2004. https://doi.org/10.57262/die/1356060326