Threshold dynamics of stochastic SIRSW infectious disease model with multiparameter perturbation
In this paper, we investigated a stochastic SIRS epidemic infectious disease model that accounted for environmentally driven infection and incorporated multiparameter perturbations. In addition to establishing the existence and uniqueness of the global positive solution of the model, we derived the...
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AIMS Press
2024-11-01
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241597 |
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| author | Zhengwen Yin Yuanshun Tan |
| author_facet | Zhengwen Yin Yuanshun Tan |
| author_sort | Zhengwen Yin |
| collection | DOAJ |
| description | In this paper, we investigated a stochastic SIRS epidemic infectious disease model that accounted for environmentally driven infection and incorporated multiparameter perturbations. In addition to establishing the existence and uniqueness of the global positive solution of the model, we derived the threshold conditions for the extinction and persistence of the disease using the comparison theorem and It$ \hat{o} $'s formula of stochastic differential equations. Subsequently, we obtained the asymptotic stability of both the disease-free equilibrium and the endemic equilibrium of the deterministic model corresponding to the stochastic model through stochastic stability theory. The results indicated that high-intensity noise perturbation can inhibit the spread of the disease, and the dynamic behavior of the disease transitioned from persistence to extinction as noise intensity increased. Our study also demonstrated that, compared to perturbations in the indirect infection rate, changes in noise intensity that affect the direct infection rate will have a more significant impact on disease transmission. |
| format | Article |
| id | doaj-art-58e8b2f5dc2949258bb2f80e5b5ada9a |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-58e8b2f5dc2949258bb2f80e5b5ada9a2025-01-23T07:53:24ZengAIMS PressAIMS Mathematics2473-69882024-11-01912334673349210.3934/math.20241597Threshold dynamics of stochastic SIRSW infectious disease model with multiparameter perturbationZhengwen Yin0Yuanshun Tan1College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing 400074, ChinaCollege of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing 400074, ChinaIn this paper, we investigated a stochastic SIRS epidemic infectious disease model that accounted for environmentally driven infection and incorporated multiparameter perturbations. In addition to establishing the existence and uniqueness of the global positive solution of the model, we derived the threshold conditions for the extinction and persistence of the disease using the comparison theorem and It$ \hat{o} $'s formula of stochastic differential equations. Subsequently, we obtained the asymptotic stability of both the disease-free equilibrium and the endemic equilibrium of the deterministic model corresponding to the stochastic model through stochastic stability theory. The results indicated that high-intensity noise perturbation can inhibit the spread of the disease, and the dynamic behavior of the disease transitioned from persistence to extinction as noise intensity increased. Our study also demonstrated that, compared to perturbations in the indirect infection rate, changes in noise intensity that affect the direct infection rate will have a more significant impact on disease transmission.https://www.aimspress.com/article/doi/10.3934/math.20241597sirs epidemic modelenvironmental driven infectionsthreshold dynamicsmultiparameter perturbation |
| spellingShingle | Zhengwen Yin Yuanshun Tan Threshold dynamics of stochastic SIRSW infectious disease model with multiparameter perturbation AIMS Mathematics sirs epidemic model environmental driven infections threshold dynamics multiparameter perturbation |
| title | Threshold dynamics of stochastic SIRSW infectious disease model with multiparameter perturbation |
| title_full | Threshold dynamics of stochastic SIRSW infectious disease model with multiparameter perturbation |
| title_fullStr | Threshold dynamics of stochastic SIRSW infectious disease model with multiparameter perturbation |
| title_full_unstemmed | Threshold dynamics of stochastic SIRSW infectious disease model with multiparameter perturbation |
| title_short | Threshold dynamics of stochastic SIRSW infectious disease model with multiparameter perturbation |
| title_sort | threshold dynamics of stochastic sirsw infectious disease model with multiparameter perturbation |
| topic | sirs epidemic model environmental driven infections threshold dynamics multiparameter perturbation |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241597 |
| work_keys_str_mv | AT zhengwenyin thresholddynamicsofstochasticsirswinfectiousdiseasemodelwithmultiparameterperturbation AT yuanshuntan thresholddynamicsofstochasticsirswinfectiousdiseasemodelwithmultiparameterperturbation |