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:
Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R ChinaQingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
Gao, Miaomiao
Jiang, Daqing
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机构:
China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China
China Univ Petr East China, Key Lab Unconvent Oil & Gas Dev, Minist Educ, Qingdao 266580, Peoples R ChinaQingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
Jiang, Daqing
Ding, Jieyu
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机构:
Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
Qingdao Univ, Ctr Computat Mech & Engn Simulat, Qingdao 266071, Peoples R ChinaQingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
机构:
China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R ChinaChina Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China
Zhou, Yaxin
Jiang, Daqing
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机构:
China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China
King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah, Saudi ArabiaChina Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China
Jiang, Daqing
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,
2023,
116
机构:
Northeast Normal Univ, Key Lab Appl Stat MOE, Sch Math & Stat, Changchun, Jilin, Peoples R ChinaNortheast Normal Univ, Key Lab Appl Stat MOE, Sch Math & Stat, Changchun, Jilin, Peoples R China
机构:
China Univ Petr, Coll Sci, Qingdao, Shandong, Peoples R China
Northeast Normal Univ, Sch Math & Stat, Key Lab Appl Stat MOE, Changchun, Jilin, Peoples R ChinaChina Univ Petr, Coll Sci, Qingdao, Shandong, Peoples R China
Shi, Zhenfeng
Jiang, Daqing
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机构:
China Univ Petr, Coll Sci, Qingdao, Shandong, Peoples R China
China Univ Petr, Coll Sci, Qingdao 266580, Shandong, Peoples R ChinaChina Univ Petr, Coll Sci, Qingdao, Shandong, 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
Jiang, Daqing
论文数: 0引用数: 0
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机构:
China Univ Petr, Coll Sci, Qingdao 266580, Shandong, Peoples R ChinaNortheast Normal Univ, Sch Math & Stat, Key Lab Appl Stat MOE, Changchun 130024, Jilin, Peoples R China