In this study, a cholera infection model with a bilinear infection rate is developed by considering the perturbation of the infection rate by the mean-reverting process. First of all, we give the existence of a globally unique positive solution for a stochastic system at an arbitrary initial value. On this basis, the sufficient condition for the model to have an ergodic stationary distribution is given by constructing proper Lyapunov functions and tight sets. This indicates in a biological sense the long-term persistence of cholera infection. Furthermore, after transforming the stochastic model to a relevant linearized system, an accurate expression for the probability density function of the stochastic model around a quasi-endemic equilibrium is derived. Subsequently, the sufficient condition to make the disease extinct is also derived. Eventually, the theoretical findings are shown by numerical simulations. Numerical simulations show the impact of regression speed and fluctuation intensity on stochastic systems.
机构:
Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
Hao, Yicheng
Luo, Yantao
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机构:
Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
Natl Univ Def Technol, Coll Sci, Changsha 410073, Peoples R China
Xinjiang Key Lab Appl Math, Urumqi 830017, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
Luo, Yantao
Huang, Jianhua
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机构:
Natl Univ Def Technol, Coll Sci, Changsha 410073, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
Huang, Jianhua
Zhang, Long
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机构:
Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
Xinjiang Key Lab Appl Math, Urumqi 830017, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
Zhang, Long
Teng, Zhidong
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h-index: 0
机构:
Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
机构:
Northeast Normal Univ, Sch Math & Stat, Key Lab Appl Stat MOE, Changchun 130024, Jilin, Peoples R ChinaNortheast Normal Univ, Sch Math & Stat, Key Lab Appl Stat MOE, Changchun 130024, Jilin, Peoples R China
Liu, Qun
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,
2023,
119
机构:
Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
Hao, Yicheng
Luo, Yantao
论文数: 0引用数: 0
h-index: 0
机构:
Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
Natl Univ Def Technol, Coll Sci, Changsha 410073, Peoples R China
Xinjiang Key Lab Appl Math, Urumqi 830017, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
Luo, Yantao
Huang, Jianhua
论文数: 0引用数: 0
h-index: 0
机构:
Natl Univ Def Technol, Coll Sci, Changsha 410073, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
Huang, Jianhua
Zhang, Long
论文数: 0引用数: 0
h-index: 0
机构:
Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
Xinjiang Key Lab Appl Math, Urumqi 830017, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
Zhang, Long
Teng, Zhidong
论文数: 0引用数: 0
h-index: 0
机构:
Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
机构:
Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia
China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan
Hashemite Univ, Dept Math, Zarqa, JordanPrince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia
Shatanawi, Wasfi
Raza, Ali
论文数: 0引用数: 0
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机构:
Air Univ, Dept Math, Stochast Anal & Optimizat Res Grp, PAF Complex E-9, Islamabad 44000, Pakistan
Natl Coll Business Adm & Econ, Dept Math, Lahore, PakistanPrince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia
Raza, Ali
Arif, Muhammad Shoaib
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h-index: 0
机构:
Air Univ, Dept Math, Stochast Anal & Optimizat Res Grp, PAF Complex E-9, Islamabad 44000, PakistanPrince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia
Arif, Muhammad Shoaib
Abodayeh, Kamaledin
论文数: 0引用数: 0
h-index: 0
机构:
Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi ArabiaPrince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia
Abodayeh, Kamaledin
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机构:
Rafiq, Muhammad
Bibi, Mairaj
论文数: 0引用数: 0
h-index: 0
机构:
Comsats Univ, Dept Math, Islamabad, PakistanPrince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia