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Global Dynamic Analysis of an Oncolytic Virus Model with Age Structure(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2024年03期
Page:
8-14
Research Field:
数学
Publishing date:

Info

Title:
Global Dynamic Analysis of an Oncolytic Virus Model with Age Structure
Author(s):
Tian Xiaojiang; Tan Yuanshun; Yan Li
(School of Mathematics and Statistics,Chongqing Jiaotong University,Chongqing 400074,China)
Keywords:
age-structured virus model; oncolytic virus; steady state; Lyapunov functional; global stability
PACS:
O175.1
DOI:
10.3969/j.issn.1001-4616.2024.03.002
Abstract:
In this paper,considering that the possibility of oncolytic virus infection of tumor cells depends on the number of tumor cells that can be infected,a frequency-dependent function is introduced to establish an age-structured oncolytic virus infection model,and the global dynamic behavior of the model is studied. Firstly,the existence and uniqueness of the solution of the model are proved,the basic reproduction number R0 is calculated,and the existence theorem of the steady state is obtained. Then,by analyzing the distribution of the characteristic roots of the characteristic equation,the local stability conclusion of the steady state is obtained. Finally,by constructing the Lyapunov function and using the LaSalle invariant set principle. The global stability theory of the infection-free steady state E0 and the infected steady state E* are obtained:When R0<1,the infection-free steady state E0 is globally asymptotically stable; when R0>1,the infected steady state E* is globally asymptotically stable.

References:

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Last Update: 2024-09-15