期刊
MATHEMATICS AND COMPUTERS IN SIMULATION
卷 182, 期 -, 页码 86-115出版社
ELSEVIER
DOI: 10.1016/j.matcom.2020.10.015
关键词
Stochastic HIV model; Age-structured; Impulse effects; Markovian switching; Explicit EM method; Strong convergence
类别
资金
- National Natural Science Foundation of China [11661064]
This study examines an impulsive switching HIV infection model and utilizes numerical methods to analyze and validate the findings.
This paper considers an impulsive switching human immunodeficiency virus (HIV) infection model incorporating the mean-reverting Ornstein-Uhlenbeck process. The model involve the virus-to-cell infection and cell-to-cell transmission and has an explicit age-dependent structure. Due to the exact solution of this system cannot be expressed explicitly, it is necessary to give a suitable numerical method to discuss the numerical solution. In this paper, we apply the truncated Euler-Maruyama (EM) method to investigate the explicit numerical approximation for the impulsive stochastic age-structured HIV infection model with Markovian switching. We study the pth moment boundedness of the numerical solution, and the corresponding strong convergence of such algorithm. Numerical simulations are presented to demonstrate the validity of our findings. (C) 2020 Published by Elsevier B.V. on behalf of International Association for Mathematics and Computers in Simulation (IMACS).
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据