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Stochastic Analysis and Applications Volume 36, 2018 - Issue 1
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Original Articles

Stationary distribution and extinction of a stochastic SIRI epidemic model with relapse

Qun LiuSchool of Mathematics and Statistics, Key Laboratory of Applied Statistics of MOE, Northeast Normal University, Changchun, Jilin, P.R. China;School of Mathematics and Statistics, Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin, Guangxi, P.R. China
,
Daqing JiangSchool of Mathematics and Statistics, Key Laboratory of Applied Statistics of MOE, Northeast Normal University, Changchun, Jilin, P.R. China;Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;College of Science, China University of Petroleum (East China), Qingdao, Shandong, P.R. ChinaCorrespondence[email protected]
,
Tasawar HayatNonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
&
Bashir AhmadNonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
Pages 138-151 | Received 18 Mar 2017, Accepted 09 Sep 2017, Published online: 02 Jan 2018

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Li-li Wang & Nan-jing Huang. (2022) Ergodic stationary distribution of a stochastic nonlinear epidemic model with relapse and cure. Applicable Analysis 101:7, pages 2652-2668.
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Articles from other publishers (21)

Zhenfeng Shi, Daqing Jiang & Ahmed Alsaedi. (2022) A multi‐group SEIRI epidemic model with logistic population growth under discrete Markov switching: Extinction, persistence, and positive recurrence. Mathematical Methods in the Applied Sciences 46:5, pages 5349-5369.
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Saima Rashid, Fahd Jarad, Sobhy A. A. El-Marouf & Sayed K. Elagan. (2023) Global dynamics of deterministic-stochastic dengue infection model including multi specific receptors via crossover effects. AIMS Mathematics 8:3, pages 6466-6503.
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Baoquan Zhou, Daqing Jiang, Yucong Dai & Tasawar Hayat. (2021) Ergodic property, extinction, and density function of an SIRI epidemic model with nonlinear incidence rate and high‐order stochastic perturbations. Mathematical Methods in the Applied Sciences 45:3, pages 1513-1537.
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Rajasekar S. P., Pitchaimani M. & Quanxin Zhu. (2021) Higher order stochastically perturbed SIRS epidemic model with relapse and media impact. Mathematical Methods in the Applied Sciences 45:2, pages 843-863.
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Jiang Xu, Tao Chen & Xiangdan Wen. (2021) Analysis of a Bailey–Dietz model for vector-borne disease under regime switching. Physica A: Statistical Mechanics and its Applications 580, pages 126129.
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M. El Fatini, I. Sekkak, R. Taki & T. El Guendouz. (2020) A control treatment for a stochastic epidemic model with relapse and Crowly–Martin incidence. The Journal of Analysis 29:3, pages 713-729.
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C. Gokila & M. Sambath. (2021) The threshold for a stochastic within-host CHIKV virus model with saturated incidence rate. International Journal of Biomathematics 14:06, pages 2150042.
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Jianguo Sun, Miaomiao Gao & Daqing Jiang. (2021) Threshold Dynamics of a Non-Linear Stochastic Viral Model with Time Delay and CTL Responsiveness. Life 11:8, pages 766.
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S. P. Rajasekar, M. Pitchaimani, Quanxin Zhu & Kaibo Shi. (2021) Exploring the Stochastic Host-Pathogen Tuberculosis Model with Adaptive Immune Response. Mathematical Problems in Engineering 2021, pages 1-23.
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Nafeisha Tuerxun, Buyu Wen & Zhidong Teng. (2021) The stationary distribution in a class of stochastic SIRS epidemic models with non-monotonic incidence and degenerate diffusion. Mathematics and Computers in Simulation 182, pages 888-912.
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Liang Chen & Shan Wang. (2021) Positive Recurrence and Extinction of Hybrid Stochastic SIRS Model with Nonlinear Incidence Rate. Journal of Mathematics 2021, pages 1-8.
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Rong Liu & Guirong Liu. (2021) Complex Dynamics of a Stochastic Two-Patch Predator-Prey Population Model with Ratio-Dependent Functional Responses. Complexity 2021, pages 1-31.
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Qun Liu, Daqing Jiang, Tasawar Hayat, Ahmed Alsaedi & Bashir Ahmad. (2020) Dynamical behavior of a higher order stochastically perturbed SIRI epidemic model with relapse and media coverage. Chaos, Solitons & Fractals 139, pages 110013.
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S.P. Rajasekar & M. Pitchaimani. (2020) Ergodic stationary distribution and extinction of a stochastic SIRS epidemic model with logistic growth and nonlinear incidence. Applied Mathematics and Computation 377, pages 125143.
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Guirong Liu & Rong Liu. (2019) Dynamics of a Stochastic Three-Species Food Web Model with Omnivory and Ratio-Dependent Functional Response. Complexity 2019, pages 1-19.
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Guijie Lan, Youlin Huang, Chunjin Wei & Shuwen Zhang. (2019) A stochastic SIS epidemic model with saturating contact rate. Physica A: Statistical Mechanics and its Applications 529, pages 121504.
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Zhenfeng Shi, Xinhong Zhang & Daqing Jiang. (2019) Dynamics of an avian influenza model with half-saturated incidence. Applied Mathematics and Computation 355, pages 399-416.
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Weiwei Zhang, Xinzhu Meng & Yulin Dong. (2019) Periodic Solution and Ergodic Stationary Distribution of Stochastic SIRI Epidemic Systems with Nonlinear Perturbations. Journal of Systems Science and Complexity 32:4, pages 1104-1124.
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Kai Qi, Daqing Jiang, Tasawar Hayat & Ahmed Alsaedi. (2019) The stationary distribution and extinction of a double thresholds HTLV-I infection model with nonlinear CTL immune response disturbed by white noise. International Journal of Biomathematics 12:05, pages 1950058.
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Weiming Wang, Yongli Cai, Zuqin Ding & Zhanji Gui. (2018) A stochastic differential equation SIS epidemic model incorporating Ornstein–Uhlenbeck process. Physica A: Statistical Mechanics and its Applications 509, pages 921-936.
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Bo Yang. (2018) A stochastic Feline immunodeficiency virus model with vertical transmission. Physica A: Statistical Mechanics and its Applications 509, pages 448-458.
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