2021
DOI: 10.1007/s12190-021-01530-z
|View full text |Cite
|
Sign up to set email alerts
|

Stationary distribution and extinction of a multi-stage HIV model with nonlinear stochastic perturbation

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1

Citation Types

0
4
0

Year Published

2021
2021
2024
2024

Publication Types

Select...
6
1

Relationship

0
7

Authors

Journals

citations
Cited by 17 publications
(4 citation statements)
references
References 41 publications
0
4
0
Order By: Relevance
“…Specifically, we have analyzed an SIC epidemic model that incorporates quadratic Lévy jumps. Compared to previous works, many authors have considered the quadratic white noise perturbation (without Lévy jumps) in the various kinds of systems [75] , [94] , [95] , [96] . But there are some limitations of these papers, which can be explained as: The complex and brutal random fluctuations are simulated by the white noise or Lévy jumps?…”
Section: Discussionmentioning
confidence: 99%
“…Specifically, we have analyzed an SIC epidemic model that incorporates quadratic Lévy jumps. Compared to previous works, many authors have considered the quadratic white noise perturbation (without Lévy jumps) in the various kinds of systems [75] , [94] , [95] , [96] . But there are some limitations of these papers, which can be explained as: The complex and brutal random fluctuations are simulated by the white noise or Lévy jumps?…”
Section: Discussionmentioning
confidence: 99%
“…Fading and nonlinearity during data transmission are the main reasons for control system instability and performance degradation. [16][17][18] The fading phenomenon occurred during the transmission process of the signal, which can be explained as the random variation of the amplitude and phase of the transmitted signal over time. The presence of this fading made the system unstable during operation, and the system's performance index did not meet the standard, resulting in turn causes certain losses to the system.…”
Section: Introductionmentioning
confidence: 99%
“…In the study of practical engineering systems, the system performance is often unstable due to the influence of various external factors. Fading and nonlinearity during data transmission are the main reasons for control system instability and performance degradation 16–18 . The fading phenomenon occurred during the transmission process of the signal, which can be explained as the random variation of the amplitude and phase of the transmitted signal over time.…”
Section: Introductionmentioning
confidence: 99%
“…However, some key parameters involved in epidemiology models are inevitably disturbed by the environmental noise. Recently, there has been a great deal of interest in studying the dynamical behavior of epidemiology models with nonlinear perturbations because it has turned out that the stochastic modeling method can describe infectious diseases in a more exact way [15,16,17,18,19,20]. So far, there exist several approaches to introduce stochastic perturbations in the deterministic models.…”
Section: Introductionmentioning
confidence: 99%