Modelling effects of a chemotherapeutic dose response on a stochastic tumour-immune model

摘要

A stochastic tumour-immune dynamical system with pulsed chemotherapeutic dose response is proposed to study how environmental noise affects the evolution of tumours. Firstly, the explicit expression of a tumour-free solution is obtained and then we show that the proposed system exists with a globally asymptotically stable positive solution under certain conditions. Secondly, threshold criteria ensuring the eradication and persistence of tumours are provided. Numerical investigations were carried out to address the effects of key factors on the tumours. The results reveal that environmental noise can dominate all of the tumour dynamics, but comprehensive therapy can not only accelerate the eradication of tumours, but also avoid the disadvantages of a single therapy. (C) 2019 Elsevier Ltd. All rights reserved.