Year: 2021
Author: Jingnan Wang, Shengnan Liu
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 3 : pp. 477–493
Abstract
In order to understand the effect of the diffusion reaction on the interaction between tumor cells and immune cells, we establish a tumor-immune reaction diffusion model with homogeneous Neumann boundary conditions. Firstly, we investigate the existence condition and the stability condition of the coexistence equilibrium solution. Secondly, we obtain the sufficient and necessary conditions for the occurrence of Turing bifurcation and Hopf bifurcation. Thirdly, we perform some numerical simulations to illustrate the complex spatiotemporal patterns near the bifurcation curves. Finally, we explain spatiotemporal patterns in the diffusion action of tumor cells and immune cells.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2021.477
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 3 : pp. 477–493
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Tumor-immune model Diffusion Hopf bifurcation Turing bifurcation Stability.