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

Autor:	Mahmoud B. A. Mansour, Hussien S. Hussien, Asmaa H. Abobakr
Rok vydání:	2022
Předmět:	Mechanics of Materials Applied Mathematics Modeling and Simulation Computational Mechanics General Physics and Astronomy Statistical and Nonlinear Physics Engineering (miscellaneous)
Zdroj:	International Journal of Nonlinear Sciences and Numerical Simulation.
ISSN:	2191-0294 1565-1339
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b0126db90bcd040d102022941b7f596e https://doi.org/10.1515/ijnsns-2022-0026 Zobrazit plný text záznamu