Gompertz's empirical equation remains the most popular one in describing cancer cell
population growth in a wide spectrum of bio-medical situations due to its good fit to data and
simplicity. Many efforts were documented in the literature aimed at understanding the
mechanisms that may support Gompertz's elegant model equation. One of the most
convincing efforts was carried out by Gyllenberg and Webb. They divide the cancer cell
population into the proliferative cells and the quiescent cells. In their two dimensional model …