Analysis of a time-delayed mathematical model for tumour growth with inhibitors |
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| Authors: | Shihe Xu Xiao Wu Meng Bai Xiangqing Zhao |
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| Institution: | 1. School of Mathematics and Information Sciences , Zhaoqing University , Zhaoqing , Guangdong 526061 , P.R. China shihexu03@yahoo.com.cn;3. School of Mathematics and Information Sciences , Zhaoqing University , Zhaoqing , Guangdong 526061 , P.R. China;4. Department of Mathematics , Zhejiang Ocean University , Zhoushan , Zhejiang 316000 , P.R. China |
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| Abstract: | In this article, we study the fully non-stationary version of a mathematical model for tumour growth under indirect effect of inhibitor with time delay in proliferation. The quasi-stationary version has been studied by our previous work S. Xu and Z. Feng, Analysis of a mathematical model for tumour growth under indirect effect of inhibitors with time delay in proliferation, J. Math. Anal. Appl. 374 (2011), pp. 178–186]. The existence and uniqueness of a global solution are proved and the asymptotic behaviour of the solution is studied. The results show that the dynamical behaviour of solutions of the fully non-stationary and the quasi-stationary version are similar under some conditions. |
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| Keywords: | tumour growth inhibitors time delay global solution asymptotic behaviour |
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