Numerical simulations of wave propagation in a stochastic partial differential equation model for tumor-immune interactions

被引：2
作者：
Mansour, Mahmoud B. A. [1 ]
Hussien, Hussien S. [1 ]
Abobakr, Asmaa H. [1 ]
机构：
[1] South Valley Univ, Fac Sci, Dept Math, Qena, Egypt
来源：
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2023年 / 24卷 / 05期
关键词：
stochastic partial differential equations; tumor dynamics; wave propagation; CHEMOTHERAPY SYSTEM; MATHEMATICAL-MODEL; STABILITY ANALYSIS; DYNAMICS; IMMUNOTHERAPY; RESPONSES;
D O I：
10.1515/ijnsns-2022-0026
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we introduce a stochastic partial differential equation model for the spatial dynamic of tumor-immune interactions. We perform numerical simulations in order to investigate the propagation of traveling waves in model system under the influence of random space-time fluctuations. One of methods is to solve a stochastic partial differential equation system for tumor-immune cell densities. The second method is to solve a stochastic partial differential algebraic equation system in order to assess the wave behavior of the solution in comparison with the deterministic approach. Finally, we discuss the implications of the model results.
引用
收藏
页码：1601 / 1612
页数：12
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