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
相关论文
共 30 条
  • [1] A stochastic threshold for an epidemic model with Beddington-DeAngelis incidence, delayed loss of immunity and Levy noise perturbation
    Berrhazi, Badr-eddine
    El Fatini, Mohamed
    Laaribi, Aziz
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 507 : 312 - 320
  • [2] A stochastic SIRS epidemic model with a general awareness-induced incidence
    Berrhazi, Badreddine
    El Fatini, Mohamed
    Lahrouz, Aadil
    Settati, Adel
    Taki, Regragui
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 512 : 968 - 980
  • [3] Cao Z., 2018, DISCRETE DYN NAT SOC, P13
  • [4] Dynamics of a stochastic SIQR epidemic model with standard incidence
    Cao, Zhongwei
    Feng, Wei
    Wen, Xiangdan
    Zu, Li
    Cheng, Ming
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 527
  • [5] A STOCHASTIC THRESHOLD FOR AN EPIDEMIC MODEL WITH ISOLATION AND A NON LINEAR INCIDENCE
    Caraballo, Tomas
    El Fatini, Mohamed
    Sekkak, Idriss
    Taki, Regragui
    Laaribi, Aziz
    [J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 19 (05) : 2513 - 2531
  • [6] Global stability and positive recurrence of a stochastic SIS model with Levy noise perturbation
    Caraballo, Tomas
    Settati, Adel
    El Fatini, Mohamed
    Lahrouz, Aadil
    Imlahi, Abdelouahid
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 523 : 677 - 690
  • [7] El Fatini M., 2019, PHYS A
  • [8] Stationary distribution and threshold dynamics of a stochastic SIRS model with a general incidence
    El Fatini, Mohamed
    El Khalifi, Mohamed
    Gerlach, Richard
    Laaribi, Aziz
    Taki, Regragui
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 534
  • [9] A threshold of a delayed stochastic epidemic model with Crowly-Martin functional response and vaccination
    El Fatini, Mohamed
    Sekkak, Idriss
    Laaribi, Aziz
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 520 : 151 - 160
  • [10] A class of stochastic delayed SIR epidemic models with generalized nonlinear incidence rate and temporary immunity
    Fan, Kuangang
    Zhang, Yan
    Gao, Shujing
    Wei, Xiang
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 481 : 198 - 208
123