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Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 05/2011, Volume 390, Issue 10, pp. 1747 - 1762
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 12/2017, Volume 263, Issue 12, pp. 8873 - 8915
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 03/2017, Volume 469, pp. 510 - 517
In this paper, we consider a stochastic SIRS epidemic model with standard incidence. By constructing suitable stochastic Lyapunov function, we establish... 
Stochastic SIRS epidemic model | Nonlinear incidence | Extinction | Stationary distribution | SYSTEM | SATURATED INCIDENCE | PERTURBATIONS | PHYSICS, MULTIDISCIPLINARY | BEHAVIOR | DYNAMICS | Epidemics | Analysis | Models
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 08/2014, Volume 34, Issue 1, pp. 90 - 93
In this paper, we investigate the dynamics of a stochastic SIRS epidemic model with saturated incidence. When the noise is small, we obtain a threshold of the... 
Persistence | SIRS epidemic model | Extinction | Stochastic differential equation | Threshold | MATHEMATICS, APPLIED | GLOBAL STABILITY | Epidemics | Analysis | Models | Dynamic tests | Thresholds | Stochastic systems | Noise | Mathematical models | Stochasticity | Incidence
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 04/2013, Volume 83, Issue 4, pp. 960 - 968
The present paper studies a stochastic SIRS epidemic model with general incidence rate in a population of varying size. Sufficient conditions for the... 
Stochastic epidemic model | Extinction | Stationary distribution | SYSTEM | TRANSMISSION | GLOBAL STABILITY | PERTURBATIONS | STATISTICS & PROBABILITY | Epidemics | Analysis | Models
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 04/2017, Volume 472, pp. 103 - 116
This paper presents a stochastic SIRS epidemic model with two different nonlinear incidence rates and double epidemic asymmetrical hypothesis, and we devote to... 
Persistence in mean | Stochastic epidemic model | Stochastic dynamics | Ito’s formula | Nonlinear incidence rate | Ito's formula | THRESHOLD | GLOBAL STABILITY | PHYSICS, MULTIDISCIPLINARY | BEHAVIOR | NONLINEAR INCIDENCE | Electrical engineering | Epidemics | Models | Numerical analysis | Analysis
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 07/2019, Volume 526, p. 120975
In this paper, we study a multigroup SIR epidemic model in a stochastic environment. By constructing a suitable stochastic Lyapunov function, we establish... 
Multigroup SIR epidemic model | Extinction | Stationary distribution | Stochastic perturbation | GLOBAL STABILITY | PHYSICS, MULTIDISCIPLINARY | CHEMOSTAT MODEL | PERSISTENCE | AIDS | ENDEMIC EQUILIBRIUM
Journal Article
Automatica, ISSN 0005-1098, 2012, Volume 48, Issue 1, pp. 121 - 131
In this paper, we introduce stochasticity into a multigroup SIR (susceptible, infective, and recovered) model. The stochasticity in the model is introduced by... 
Ergodicity | Stochastic SIR model | Endemic equilibrium | Disease-free equilibrium | Stationary distribution | SYSTEM | TRANSMISSION | STABILITY | PREDATOR-PREY MODEL | AIDS | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Epidemics | Reproduction | Perturbation methods | Asymptotic properties | Mathematical models | Stochasticity | Steady state | Standards
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 12/2018, Volume 512, pp. 968 - 980
In this work we investigate the existence of a unique global positive solution for a stochastic SIRS epidemic model with a general awareness-induced incidence.... 
Ergodicity | Epidemic model | Stochastic process | Media coverage | Stationary distribution | INCORPORATING MEDIA COVERAGE | IMPACT | PHYSICS, MULTIDISCIPLINARY | DISEASE | DYNAMICS | NOISE | Epidemics | Models | Numerical analysis | Analysis | Stochastic processes
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 01/2019, Volume 514, pp. 671 - 685
This study investigates the disease dynamics of a SIRS epidemic model as affected by environment fluctuations and media coverage. A unique global positive... 
Stochastic epidemic model | Media coverage | Stationary distribution | THRESHOLD | INFECTIOUS-DISEASES | PHYSICS, MULTIDISCIPLINARY | BEHAVIOR | DYNAMICS | NONLINEAR INCIDENCE RATE | EXTINCTION | Medicine, Experimental | Epidemics | Medical research | Models | Numerical analysis | Analysis
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 12/2017, Volume 105, pp. 60 - 68
In this paper, we establish the existence of a unique global positive solution for a stochastic epidemic model, incorporating media coverage and driven by Lévy... 
White noise | Stochastic process | Lévy process | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | TRANSMISSION | IMPACT | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | INFECTIOUS-DISEASES | Levy process | DYNAMICS | SIS | EXTINCTION | JUMPS | Epidemics | Models | Numerical analysis | Analysis | Naturvetenskap | Mathematics | Natural Sciences | Matematik
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 01/2019, Volume 118, pp. 207 - 221
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 06/2019, Volume 523, pp. 1008 - 1023
In this paper, we consider a stochastic epidemic model with time delay and general incidence rate. We first prove the existence and uniqueness of the global... 
Stochastic delayed SIRS model | General incidence rate | Invariant measure | Asymptotic behavior | DIFFERENTIAL EQUATIONS | GLOBAL STABILITY | PHYSICS, MULTIDISCIPLINARY | STATIONARY DISTRIBUTION | DYNAMICS | EXTINCTION
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 10/2019, Volume 531, p. 121548
In this paper, a stochastic SIRS model with standard incidence rate and partial temporary immunity is proposed. The sufficient conditions of the extinction and... 
SIRS epidemic model | Extinction | Stationary distribution | Stochastic perturbation | SYSTEM | PHYSICS, MULTIDISCIPLINARY | STABILITY | BEHAVIOR | THRESHOLD DYNAMICS
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 03/2019, Volume 266, Issue 7, pp. 3973 - 4017
This work studies the threshold dynamics and ergodicity of a stochastic SIRS epidemic model with the disease transmission rate driven by a semi-Markov process.... 
Basic reproduction number | Invariant probability measure | Ergodicity | Stochastic stability | Epidemic model | Semi-Markov switching | LOTKA-VOLTERRA | HUMIDITY | STABILITY | PERSISTENCE | DIFFERENTIAL-EQUATIONS | MATHEMATICS | PERMANENCE | MEDIA | EXTINCTION
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 05/2016, Volume 450, pp. 115 - 125
This paper is concerned with the asymptotic properties of a stochastic delayed SIR epidemic model with temporary immunity. Sufficient conditions for extinction... 
Persistence | Stochastic SIR epidemic model | Temporal delay | Extinction | Threshold | GLOBAL STABILITY | PHYSICS, MULTIDISCIPLINARY | BEHAVIOR | PERTURBATION | VACCINATION | NONLINEAR INCIDENCE | Epidemics | Analysis | Models | Information science | Big data | Reproduction | Thresholds | Asymptotic properties | Stochasticity | Statistical mechanics | Immunity
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 05/2016, Volume 282, pp. 155 - 166
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 10/2014, Volume 244, pp. 118 - 131
In this paper, the dynamics of a SIR epidemic model is investigated. First, we show that the system admits a unique positive global solution starting from the... 
Stochastic SIR epidemic model | Itô formula | Extinction | Stationary distribution | MATHEMATICS, APPLIED | GLOBAL STABILITY | Ito formula | BEHAVIOR | TIME-DELAY | Epidemics | Analysis | Models
Journal Article