用于HIV传播的随机SICA传染病模型
种群与进化
2018-05-30 v1 经典分析与常微分方程
摘要
我们提出一个由随机常微分方程描述的用于HIV传播的随机SICA传染病模型,并讨论其在环境白噪声下的扰动。证明了该随机HIV系统全局正解的存在唯一性,并给出了平均意义下灭绝和持续存在的条件。理论结果通过数值模拟加以说明。
引用
@article{arxiv.1805.01425,
title = {A stochastic SICA epidemic model for HIV transmission},
author = {Jasmina Djordjevic and Cristiana J. Silva and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1805.01425},
year = {2018}
}
备注
This is a preprint of a paper whose final and definite form is with 'Applied Mathematics Letters', ISSN 0893-9659. Submitted 22/Jan/2018; Revised 03/May/2018; Accepted for publication 03/May/2018