Dynamics of an HIV/AIDS transmission model with protection awareness and fluctuations

doi:10.1016/j.chaos.2023.113224

	Dynamics of an HIV/AIDS transmission model with protection awareness and fluctuations
	Zhai, Xuanpei1,4 ; Li, Wenshuang 1; Wei, Fengying 1,2; Mao, Xuerong 3
	2023-04
发表期刊	CHAOS, SOLITONS AND FRACTALS (IF:5.3[JCR-2023],5.4[5-Year])
ISSN	0960-0779
卷号	169
DOI	10.1016/j.chaos.2023.113224
摘要	We establish a stochastic HIV/AIDS model involving the susceptible with protection awareness within a total population. The mechanism of dynamic behaviors of the stochastic HIV/AIDS model with protection awareness are investigated in order to control the spread of HIV/AIDS. We firstly show that the stochastic model admits a global positive solution with any initial positive values. By constructing Lyapunov functions, the ergodic stationary distribution under the condition R0s>1, and the extinction under the condition R0e © 2023 Elsevier Ltd
关键词	Diseases Lyapunov functions Numerical methods Stochastic control systems Stochastic systems Condition Dynamic behaviors Extinction HIV/AIDS HIV/AIDS infection Protection awareness Stationary distribution Stochastic-modeling Stochastics Transmission model
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收录类别	EI ; SCOPUS
语种	英语
出版者	Elsevier Ltd
EI入藏号	20230713587438
EI主题词	Stochastic models
EI分类号	731.1 Control Systems ; 921 Mathematics ; 921.6 Numerical Methods ; 922.1 Probability Theory ; 961 Systems Science
原始文献类型	Journal article (JA)
引用统计	正在获取...
文献类型	期刊论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/284246
专题	物质科学与技术学院_硕士生
通讯作者	Wei, Fengying
作者单位	1.School of Mathematics and Statistics, Fuzhou University, Fuzhou; 350116, China; 2.Center for Applied Mathematics of Fujian Province, Fuzhou University, Fuzhou; 350116, China; 3.Department of Mathematics and Statistics, University of Strathclyde, Glasgow; G1 1XH, United Kingdom; 4.School of Physical Science and Technology, ShanghaiTech University, Shanghai; 201210, China
第一作者单位	物质科学与技术学院
推荐引用方式 GB/T 7714	Zhai, Xuanpei,Li, Wenshuang,Wei, Fengying,et al. Dynamics of an HIV/AIDS transmission model with protection awareness and fluctuations[J]. CHAOS, SOLITONS AND FRACTALS,2023,169.
APA	Zhai, Xuanpei,Li, Wenshuang,Wei, Fengying,&Mao, Xuerong.(2023).Dynamics of an HIV/AIDS transmission model with protection awareness and fluctuations.CHAOS, SOLITONS AND FRACTALS,169.
MLA	Zhai, Xuanpei,et al."Dynamics of an HIV/AIDS transmission model with protection awareness and fluctuations".CHAOS, SOLITONS AND FRACTALS 169(2023).