Linear stability for a periodic tumor angiogenesis model with free boundary in the presence of inhibitors

Analysis of a free boundary tumor model with time-dependent in the presence of inhibitors

“…Tumorigenesis is a complex multi-step process triggered by gene mutations, immune deficiency, etc., transforming normal cells into malignant cells. Over the past forty years, numerous researchers have extensively studied the partial differential mathematical model of tumor growth and have made many interesting results; see [3][4][5][6][7][8][9][12][13][14][15][16][17][18][19][20][21][22][23][24][25] and references therein.…”

“…The literatures [13,[15][16][17][18][19]24,25] all consider α(t) as a positive constant. However, in reality, the vascularization process is dynamic, in other words, it is not a state of equilibrium, but is constantly changing and evolving.…”