Stationary distribution and density function analysis of a stochastic epidemic HBV model

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.08.003 ◽

2021 ◽

Author(s):

Junyan Ge ◽

Wenjie Zuo ◽

Daqing Jiang

Keyword(s):

Density Function ◽

Stationary Distribution ◽

Function Analysis ◽

Stochastic Epidemic ◽

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Stationary distribution and density function analysis of stochastic susceptible‐vaccinated‐infected‐recovered (SVIR) epidemic model with vaccination of newborns

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7986 ◽

2021 ◽

Author(s):

Yucong Dai ◽

Baoquan Zhou ◽

Daqing Jiang ◽

Tasawar Hayat

Keyword(s):

Density Function ◽

Stationary Distribution ◽

Epidemic Model ◽

Function Analysis

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Stationary distribution and probability density function analysis of a stochastic HIV model with cell-to-cell infection

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126483 ◽

2021 ◽

Vol 410 ◽

pp. 126483

Author(s):

Minmin Lu ◽

Yan Wang ◽

Daqing Jiang

Keyword(s):

Probability Density Function ◽

Probability Density ◽

Density Function ◽

Stationary Distribution ◽

Function Analysis ◽

Cell Infection ◽

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Characterization of pressure fluctuations from a gas–solid fluidized bed by structure density function analysis

Chemical Engineering Science ◽

10.1016/j.ces.2015.02.009 ◽

2015 ◽

Vol 129 ◽

pp. 156-167 ◽

Author(s):

Yumin Chen ◽

C. Jim Lim ◽

John R. Grace ◽

Junying Zhang ◽

Yongchun Zhao ◽

...

Keyword(s):

Density Function ◽

Fluidized Bed ◽

Function Analysis ◽

Pressure Fluctuations ◽

Structure Density

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Lattice effects in solids under hydrostatic pressure by neutron pair density function analysis

Journal of Physics and Chemistry of Solids ◽

10.1016/s0022-3697(02)00338-4 ◽

2003 ◽

Vol 64 (2) ◽

pp. 343-355 ◽

Author(s):

Despina Louca

Keyword(s):

Hydrostatic Pressure ◽

Density Function ◽

Function Analysis ◽

Lattice Effects ◽

Pair Density ◽

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Processing digital signal using power spectral density function analysis in Matlab toolkit

Proceedings of 2011 International Conference on Computer Science and Network Technology ◽

10.1109/iccsnt.2011.6182018 ◽

2011 ◽

Author(s):

Yuyan Huang ◽

Guohui Zhou ◽

Yingmei Li ◽

Jingbo Shao ◽

Haitao Wei

Keyword(s):

Spectral Density ◽

Density Function ◽

Power Spectral Density ◽

Function Analysis ◽

Digital Signal ◽

Spectral Density Function ◽

Power Spectral Density Function ◽

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A compact formulation for conditioned spectral density function analysis by means of the LDLH matrix factorization

Journal of Sound and Vibration ◽

10.1016/j.jsv.2003.11.066 ◽

2004 ◽

Vol 277 (4-5) ◽

pp. 1082-1092 ◽

Author(s):

O. Guasch ◽

F.X. Magrans

Keyword(s):

Spectral Density ◽

Density Function ◽

Matrix Factorization ◽

Function Analysis ◽

Spectral Density Function ◽

Compact Formulation

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Protein Backbone Dynamics Revealed by Quasi Spectral Density Function Analysis of Amide N-15 Nuclei

Biochemistry ◽

10.1021/bi00010a005 ◽

1995 ◽

Vol 34 (10) ◽

pp. 3162-3171 ◽

Author(s):

Riecko Ishima ◽

Kuniaki Nagayama

Keyword(s):

Spectral Density ◽

Density Function ◽

Function Analysis ◽

Spectral Density Function ◽

Backbone Dynamics ◽

Protein Backbone ◽

Protein Backbone Dynamics

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Density function analysis of single polymer chain

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2005.11.084 ◽

2007 ◽

Vol 32 (4) ◽

pp. 1250-1257

Author(s):

Hisataka Kato ◽

Miki Wadati

Keyword(s):

Density Function ◽

Polymer Chain ◽

Function Analysis ◽

Single Polymer Chain

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Reduced density function analysis using convergent electron illumination and iterative blind deconvolution

Ultramicroscopy ◽

10.1016/s0304-3991(98)00082-5 ◽

1999 ◽

Vol 76 (3) ◽

pp. 115-123 ◽

Author(s):

W.E. McBride ◽

D.J.H. Cockayne ◽

C.M. Goringe

Keyword(s):

Density Function ◽

Blind Deconvolution ◽

Function Analysis ◽

Reduced Density

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Asymptotic Behavior and Stationary Distribution of a Nonlinear Stochastic Epidemic Model with Relapse and Cure

Journal of Mathematics ◽

10.1155/2020/4307083 ◽

2020 ◽

Vol 2020 ◽

pp. 1-12

Author(s):

Jiying Ma ◽

Qing Yi

Keyword(s):

Stationary Distribution ◽

Stochastic System ◽

Epidemic Model ◽

Basic Reproductive Number ◽

Reproductive Number ◽

Deterministic System ◽

Stochastic Epidemic ◽

Lyapunov Function Method ◽

Deterministic Framework ◽

Theoretical Results

In this paper, by introducing environmental perturbation, we extend an epidemic model with graded cure, relapse, and nonlinear incidence rate from a deterministic framework to a stochastic differential one. The existence and uniqueness of positive solution for the stochastic system is verified. Using the Lyapunov function method, we estimate the distance between stochastic solutions and the corresponding deterministic system in the time mean sense. Under some acceptable conditions, the solution of the stochastic system oscillates in the vicinity of the disease-free equilibrium if the basic reproductive number R0≤1, while the random solution oscillates near the endemic equilibrium, and the system has a unique stationary distribution if R0>1. Moreover, numerical simulation is conducted to support our theoretical results.

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