Transition in a delayed tumor growth model with non-Gaussian colored noise

Gaussian and Lévy noises excited delayed tumor growth model: first-passage behavior and stochastic resonance

“…Many studies have shown that noise and time delay affect the transition between different steady states of tumor populations [19][20][21][22][23][24][25][26][27][28][29][40][41][42][43][44][45][46][47][48][49]. What sets this paper apart from previous research is that Gaussian white noise, Lévy noise and time delay are considered synergistically, and the results provide certain guidance for better study of the growth law of tumors, improve the treatment method of tumors, and enhance the level of tumor treatment.…”

“…For a long time in the past, the study of dynamical systems has often ignored the inherent time delay in the system, and with the ever-increasing requirements for system accuracy, the effect of time delay on the system is becoming more and more non-negligible. Biologically, the proliferation process of tumor cells does not occur instantaneously, and the periodic treatment is not immediate, so the effect of time delay should be considered when studying the growth process of tumor cells [44][45][46][47][48][49]. Alberto et al [46] investigated the stability and Hopf bifurcation of the immobile point of a delayed tumor growth model.…”