A stochastic analysis for a triple delayed SIQR epidemic model with vaccination and elimination strategies

被引：29
|
作者：
El Fatini, Mohamed [1 ]
Pettersson, Roger [2 ]
Sekkak, Idriss [1 ]
Taki, Regragui [3 ]
机构：
[1] Univ Ibn Tofail, Fac Sci, Dept Math, BP 133, Kenitra, Morocco
[2] Linnaeus Univ, Dept Math, S-35195 Vaxjo, Sweden
[3] Chouaib Doukkali Univ EST Sidi Bennour, El Jadida, Morocco
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2020年 / 64卷 / 1-2期
关键词：
Extinction; Persistence in mean; Delay; White noise; Epidemic model; Stationary distribution; STATIONARY DISTRIBUTION; DIFFERENTIAL EQUATIONS; FUNCTIONAL-RESPONSE; SATURATED INCIDENCE; THRESHOLD BEHAVIOR; STANDARD INCIDENCE; DYNAMICS; EXISTENCE; IMMUNITY;
D O I：
10.1007/s12190-020-01380-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a delayed SIQR epidemic model with vaccination and elimination hybrid strategies is analysed under a white noise perturbation. We prove the existence and the uniqueness of a positive solution. Afterwards, we establish a stochastic threshold R-s in order to study the extinction and persistence in mean of the stochastic epidemic system. Then we investigate the existence of a stationary distribution for the delayed stochastic model. Finally, some numerical simulations are presented to support our theoretical results.
引用
收藏
页码：781 / 805
页数：25
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