吉林大学学报（理学版）2024，Vol.62Issue(4)：809-820,12.DOI:10.13413/j.cnki.jdxblxb.2023491
一类PDGF诱导的肿瘤模型的动力学性质分析
Dynamical Properties Analysis of a Class of PDGF-Induced Tumor Models
摘要
Abstract
We considered a platelet derived growth factor(PDGF)driven reaction-diffusion glioma mathematical model.Firstly,we gave the stability analysis of the equilibrium point for the ordinary differential system.We took the rate m generated by chemoattractant as the bifurcation parameter,gave the existence of the Hopf bifurcation near the positive equilibrium point,and then gave a formula to judge the stability of the periodic solution produced by the Hopf bifurcation through the gauge type theory and the central manifold theorem.Secondly,for reaction-diffusion systems,we obtained that the equilibrium point did not occur Turing instability when diffusion was involved.Finally,the theoretical analysis results were verified through numerical simulation.The results show that the rate m generated by chemoattractant can be used to distinguish the types of glioma.关键词
肿瘤模型/反应扩散/Hopf分支/稳定性Key words
tumor model/reaction diffusion/Hopf bifurcation/stability分类
数理科学引用本文复制引用
鄂玺琪,魏新,赵建涛..一类PDGF诱导的肿瘤模型的动力学性质分析[J].吉林大学学报（理学版）,2024,62(4):809-820,12.基金项目
国家自然科学基金(批准号:11901172)和黑龙江省属高校基本科研业务费专项基金(批准号:2021-KYYWF-0017 （批准号:11901172）
2022-KYYWF-1043). （）
