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

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

Yang, Jin, Tan, Yuanshun and Cheke, Robert A. ORCID: 0000-0002-7437-1934 (2019) Modelling effects of a chemotherapeutic dose response on a stochastic tumour-immune model. Chaos, Solitons & Fractals, 123. pp. 1-13. ISSN 0960-0779 (doi:https://doi.org/10.1016/j.chaos.2019.03.029)

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: Stochastic tumour-immune system, Chemotherapeutic dose response, Eradication and persistence, Lyapunov function
Subjects: G Geography. Anthropology. Recreation > GE Environmental Sciences
Faculty / Department / Research Group: Faculty of Engineering & Science
Faculty of Engineering & Science > Natural Resources Institute
Faculty of Engineering & Science > Natural Resources Institute > Agriculture, Health & Environment Department
Last Modified: 18 Apr 2019 16:21
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: None
URI: http://gala.gre.ac.uk/id/eprint/23425

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