A STOCHASTICALLY PERTURBED HIV-1 AND HIV-2 EPIDEMIC MODEL WITH DRUG RESISTANCE

被引：1
作者：
Hajri, Youssra [1 ]
Farah, El Mehdi [1 ]
Allali, Amina [1 ]
Amine, Saida [1 ]
机构：
[1] Hassan II Univ Casablanca, Lab Math Comp Sci & Applicat, Fac Sci & Technol, POB 146, Mohammadia 20650, Morocco
来源：
COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2023年
关键词：
HIV-1; HIV-2; stochastic epidemic model; Ito's formula; extinction; permanence in mean;
D O I：
10.28919/cmbn/8120
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a stochastic HIV-1 and HIV-2 epidemic model with drug resistance is presented to study the effect of white noise intensities. We firstly prove the existence and uniqueness of the global positive solution for the proposed stochastic model. The extinction of our studied disease is derived with sufficient conditions. In addition, the persistence in the mean of the infection is also established. Finally, numerical simulations for different noises disturbance are performed to illustrate the performance of our theoretical study.
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页数：20
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