Stability and Asymptotic Behavior of a Regime-Switching SIRS Model with Beddington-DeAngelis Incidence Rate
被引:3
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作者:
Wang, Shan
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机构:
Pingxiang Univ, Dept Math, Pingxiang 337000, Peoples R ChinaPingxiang Univ, Dept Math, Pingxiang 337000, Peoples R China
Wang, Shan
[1
]
Peng, Youhua
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机构:
Pingxiang Univ, Dept Math, Pingxiang 337000, Peoples R ChinaPingxiang Univ, Dept Math, Pingxiang 337000, Peoples R China
Peng, Youhua
[1
]
Wang, Feng
论文数: 0引用数: 0
h-index: 0
机构:
Pingxiang Univ, Dept Math, Pingxiang 337000, Peoples R China
Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R ChinaPingxiang Univ, Dept Math, Pingxiang 337000, Peoples R China
Wang, Feng
[1
,2
]
机构:
[1] Pingxiang Univ, Dept Math, Pingxiang 337000, Peoples R China
[2] Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China
A regime-switching SIRS model with Beddington-DeAngelis incidence rate is studied in this paper. First of all, the property that the model we discuss has a unique positive solution is proved and the invariant set is presented. Secondly, by constructing appropriate Lyapunov functionals, global stochastic asymptotic stability of the model under certain conditions is proved. Then, we leave for studying the asymptotic behavior of the model by presenting threshold values and some other conditions for determining disease extinction and persistence. The results show that stochastic noise can inhibit the disease and the behavior will have different phenomena owing to the role of regime-switching. Finally, some examples are given and numerical simulations are presented to confirm our conclusions.
机构:
Nanjing Univ Sci & Technol, Sch Math & Stat, Nanjing 210094, Peoples R China
Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
Univ Alberta, Interdisciplinary Lab Math Ecol & Epidemiol, Edmonton, AB T6G 2G1, CanadaNanjing Univ Sci & Technol, Sch Math & Stat, Nanjing 210094, Peoples R China
Tang, Ruoshi
Wang, Hao
论文数: 0引用数: 0
h-index: 0
机构:
Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
Univ Alberta, Interdisciplinary Lab Math Ecol & Epidemiol, Edmonton, AB T6G 2G1, CanadaNanjing Univ Sci & Technol, Sch Math & Stat, Nanjing 210094, Peoples R China
Wang, Hao
Qiu, Zhipeng
论文数: 0引用数: 0
h-index: 0
机构:
Nanjing Univ Sci & Technol, Interdisciplinary Ctr Fundamental & Frontier Sci, Jiangyin 214443, Peoples R ChinaNanjing Univ Sci & Technol, Sch Math & Stat, Nanjing 210094, Peoples R China
Qiu, Zhipeng
Feng, Tao
论文数: 0引用数: 0
h-index: 0
机构:
Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Peoples R ChinaNanjing Univ Sci & Technol, Sch Math & Stat, Nanjing 210094, Peoples R China
机构:
Hassan II Univ, Fac Sci Ben Msik, Lab Anal Modeling & Simulat LAMS, POB 7955 Sidi Othman, Casablanca, MoroccoHassan II Univ, Fac Sci Ben Msik, Lab Anal Modeling & Simulat LAMS, POB 7955 Sidi Othman, Casablanca, Morocco
El Koufi, Amine
Bennar, Abdelkrim
论文数: 0引用数: 0
h-index: 0
机构:
Hassan II Univ, Fac Sci Ben Msik, Lab Anal Modeling & Simulat LAMS, POB 7955 Sidi Othman, Casablanca, MoroccoHassan II Univ, Fac Sci Ben Msik, Lab Anal Modeling & Simulat LAMS, POB 7955 Sidi Othman, Casablanca, Morocco
Bennar, Abdelkrim
El Koufi, Nouhaila
论文数: 0引用数: 0
h-index: 0
机构:
Mohammed V Univ, Rabat IT Ctr, Lab Adv Digital Entreprise Modeling & Informat Re, IMS Team, Rabat, MoroccoHassan II Univ, Fac Sci Ben Msik, Lab Anal Modeling & Simulat LAMS, POB 7955 Sidi Othman, Casablanca, Morocco
El Koufi, Nouhaila
Yousfi, Noura
论文数: 0引用数: 0
h-index: 0
机构:
Hassan II Univ, Fac Sci Ben Msik, Lab Anal Modeling & Simulat LAMS, POB 7955 Sidi Othman, Casablanca, MoroccoHassan II Univ, Fac Sci Ben Msik, Lab Anal Modeling & Simulat LAMS, POB 7955 Sidi Othman, Casablanca, Morocco
机构:
Xinyang Normal Univ, Coll Math & Informat Sci, Xinyang 464000, Henan, Peoples R China
Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R ChinaXinyang Normal Univ, Coll Math & Informat Sci, Xinyang 464000, Henan, Peoples R China
Wang, Xia
Tao, Youde
论文数: 0引用数: 0
h-index: 0
机构:
Xinyang Normal Univ, Coll Math & Informat Sci, Xinyang 464000, Henan, Peoples R ChinaXinyang Normal Univ, Coll Math & Informat Sci, Xinyang 464000, Henan, Peoples R China
Tao, Youde
Song, Xinyu
论文数: 0引用数: 0
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机构:
Xinyang Normal Univ, Coll Math & Informat Sci, Xinyang 464000, Henan, Peoples R ChinaXinyang Normal Univ, Coll Math & Informat Sci, Xinyang 464000, Henan, Peoples R China
机构:
Ho Chi Minh Univ Transport, Fac Basic Sci, 2 Vo Oanh, Ho Chi Minh City, Vietnam
Hanoi Univ Sci, VNU, Hanoi, VietnamHo Chi Minh Univ Transport, Fac Basic Sci, 2 Vo Oanh, Ho Chi Minh City, Vietnam
Tuong, T. D.
Nguyen, Dang H.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Alabama, Dept Math, Tuscaloosa, AL 35487 USAHo Chi Minh Univ Transport, Fac Basic Sci, 2 Vo Oanh, Ho Chi Minh City, Vietnam
Nguyen, Dang H.
Dieu, N. T.
论文数: 0引用数: 0
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机构:
Vinh Univ, Dept Math, 182 Le Duan, Vinh, Nghe An, VietnamHo Chi Minh Univ Transport, Fac Basic Sci, 2 Vo Oanh, Ho Chi Minh City, Vietnam
Dieu, N. T.
Tran, Ky
论文数: 0引用数: 0
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机构:
Hue Univ, Coll Educ, Dept Math, 34 Le Loi, Hue City, VietnamHo Chi Minh Univ Transport, Fac Basic Sci, 2 Vo Oanh, Ho Chi Minh City, Vietnam
机构:
Hunan Normal Univ, Sch Math & Stat, Changsha 410081, Hunan, Peoples R China
Minist Educ China, Key Lab High Performance Comp & Stochast Informat, Proc HPCSIP, Beijing, Peoples R ChinaHunan Normal Univ, Sch Math & Stat, Changsha 410081, Hunan, Peoples R China
Kuang, Daipeng
Yin, Qian
论文数: 0引用数: 0
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机构:
Cent South Univ, Dept Informat & Comp Sci, Changsha 410083, Hunan, Peoples R ChinaHunan Normal Univ, Sch Math & Stat, Changsha 410081, Hunan, Peoples R China
Yin, Qian
Li, Jianli
论文数: 0引用数: 0
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机构:
Hunan Normal Univ, Sch Math & Stat, Changsha 410081, Hunan, Peoples R China
Minist Educ China, Key Lab High Performance Comp & Stochast Informat, Proc HPCSIP, Beijing, Peoples R ChinaHunan Normal Univ, Sch Math & Stat, Changsha 410081, Hunan, Peoples R China
Li, Jianli
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,
2023,
360
(17):
: 13624
-
13647
机构:
Changshu Inst Technol, Sch Math & Stat, Changshu 215500, Jiangsu, Peoples R China
Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R ChinaChangshu Inst Technol, Sch Math & Stat, Changshu 215500, Jiangsu, Peoples R China