STATIONARY DISTRIBUTION
; INFECTIOUS-DISEASES
; GLOBAL STABILITY
; CLIMATE-CHANGE
; HYPERINFECTIVITY
; EXTINCTION
WOS学科分类:
Automation & Control Systems
; Engineering, Multidisciplinary
; Engineering, Electrical & Electronic
; Mathematics, Interdisciplinary Applications
WOS研究方向:
Automation & Control Systems
; Engineering
; Mathematics
英文摘要:
In this paper, a stochastic epidemic model for cholera is proposed and investigated. Firstly, we establish sufficient conditions for extinction of the disease. Then we establish sufficient criteria for the existence of a unique ergodic stationary distribution of the positive solutions to the model by constructing a suitable stochastic Lyapunov function. The existence of an ergodic stationary distribution implies that all the individuals can be coexistent in the long run. Finally, some examples together with numerical simulations are introduced to illustrate our theoretical results. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
1.Northeast Normal Univ, Sch Math & Stat, Key Lab Appl Stat MOE, Changchun 130024, Jilin, Peoples R China 2.King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah, Saudi Arabia 3.China Univ Petr, Coll Sci, Qingdao 266580, Shandong, Peoples R China 4.Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan
Recommended Citation:
Liu, Qun,Jiang, Daqing,Hayat, Tasawar,et al. Dynamical behavior of a stochastic epidemic model for cholera[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,2019-01-01,356(13):7486-7514