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Mathematical Biosciences, ISSN 0025-5564, 2007, Volume 208, Issue 2, pp. 419 - 429
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 11/2019, p. 123379
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 09/2019, p. 122852
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 07/2019, Volume 526, p. 120946
In this paper, we study a stochastic SIS epidemic model with nonlinear incidence rate. By employing the Markov semigroups theory, we verify that the... 
Markov semigroups | Stochastic SIS epidemic model | Extinction | Nonlinear incidence rate | Stationary distribution | Threshold | PHYSICS, MULTIDISCIPLINARY | LONG-TIME BEHAVIOR | PERSISTENCE
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 01/2019, Volume 513, pp. 572 - 587
We formulate an epidemic model with age of vaccination and generalized nonlinear incidence rate, where the total population consists of the susceptible, the... 
Stochastic SVIR epidemic model | Generalized nonlinear incidence rate | Persistence in the mean | Age-structure | Extinction | Threshold | DYNAMICAL BEHAVIOR | PHYSICS, MULTIDISCIPLINARY | BACKWARD BIFURCATION | VACCINATION | Epidemics | Medical research | Numerical analysis | Disease transmission | Analysis | Vaccination | Medicine, Experimental | Models
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
by Cao, ZW and Liu, X and Wen, XD and Liu, LY and Zu, L
SCIENTIFIC REPORTS, ISSN 2045-2322, 07/2019, Volume 9, Issue 1, pp. 10696 - 7
In this paper, we present a regime-switching SIR epidemic model with a ratio-dependent incidence rate and degenerate diffusion. We utilize the Markov semigroup... 
POPULATION | LONG-TIME BEHAVIOR | STABILITY | MULTIDISCIPLINARY SCIENCES | STATIONARY DISTRIBUTION | ASYMPTOTIC PROPERTIES | DYNAMICS | NONLINEAR INCIDENCE | SYSTEMS | EQUATION | Epidemics | Extinction | Stochasticity
Journal Article
Bulletin of Mathematical Biology, ISSN 0092-8240, 07/2010, Volume 72, Issue 5, pp. 1192 - 1207
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 07/2019, Volume 267, Issue 3, pp. 1859 - 1898
In this paper, we study a susceptible-infectious-recovered (SIRS) epidemic model with a generalized nonmonotone and saturated incidence rate , in which the... 
Bogdanov-Takens bifurcation | SIRS epidemic model | Hopf bifurcation | Saddle-node bifurcation | Degenerate Hopf bifurcation | MATHEMATICS | DISEASE TRANSMISSION MODEL | BEHAVIOR | NONLINEAR INCIDENCE
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 10/2013, Volume 222, pp. 265 - 274
This paper aims to explore the influence of vaccination on the diffusion of computer viruses under more reasonable assumptions. By incorporating a vaccination... 
Computer virus | Epidemic model | Global stability | Equilibrium | Vaccination | Nonlinear incidence rate | MATHEMATICS, APPLIED | TRANSMISSION | MALICIOUS OBJECTS | SPREAD | Epidemics | Models | Computer viruses | Analysis | Reproduction | Asymptotic properties | Strategy | Nonlinearity | Mathematical models | Incidence
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 03/2017, Volume 469, pp. 789 - 798
In this paper, we study the global stability and attractivity of the endemic equilibrium for a network-based SIS epidemic model with nonmonotone incidence... 
Global attractivity | Nonmonotone incidence rate | Global stability | Complex network | SIS epidemic model | PHYSICS, MULTIDISCIPLINARY | SCALE-FREE NETWORKS | NONLINEAR INFECTIVITY | DYNAMICS | COMPLEX HETEROGENEOUS NETWORKS | Epidemics | Analysis
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 08/2017, Volume 70, pp. 52 - 57
In this paper, we propose an SIRS epidemic model with a nonlinear incidence and transfer from infectious to susceptible. Applying LaSalle’s invariance... 
Global asymptotic stability | SIRS epidemic model | Equilibrium | Nonlinear incidence rate | Lyapunov function | EPIDEMIC MODELS | MATHEMATICS, APPLIED | GLOBAL STABILITY | LYAPUNOV FUNCTIONS | Computer science | Epidemics | Analysis
Journal Article
Advances in Difference Equations, ISSN 1687-1839, 12/2018, Volume 2018, Issue 1, pp. 1 - 9
In this paper, a fractional order SIR epidemic model with nonlinear incidence rate is presented and analyzed. First, we prove the global existence, positivity,... 
Stability | SIR epidemic model | Caputo fractional derivative | Equilibrium | Nonlinear incidence rate | MATHEMATICS | MATHEMATICS, APPLIED | DIFFERENTIAL-EQUATIONS | INTERFERENCE | Economic models
Journal Article