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Density function and stationary distribution of a stochastic SIR model with distributed delay

APPLIED MATHEMATICS LETTERS (2022)

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

Junyan Ge et al.

Summary: This paper presents a stochastic HBV infection model and investigates its dynamic behaviors. It establishes the existence and ergodicity of the model's stationary distribution, determines the critical value corresponding to the basic reproduction number, and provides conditions for disease persistence or extinction. The specific expression of the probability density function around the endemic quasi-equilibrium is also derived, and numerical simulations confirm theoretical results and match HBV epidemic data in China.

MATHEMATICS AND COMPUTERS IN SIMULATION (2022)

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Article Mathematics, Applied

Stationary distribution and extinction of a stochastic model of syphilis transmission in an MSM population with telegraph noises

Yaxin Zhou et al.

Summary: This paper examines the dynamical behaviors of a syphilis transmission model disturbed by white noises and telegraph noises, considering multiple infections and treatment stages. It establishes the existence and ergodicity of the stationary distribution and derives a critical value for the control reproduction number. The simulations show that stronger white noises may lead to disease extinction, while telegraph noises can enhance system stability.

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING (2021)

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Article Biology

A deterministic time-delayed SIR epidemic model: mathematical modeling and analysis

Abhishek Kumar et al.

THEORY IN BIOSCIENCES (2020)

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Article Automation & Control Systems

Stationary distribution and ergodicity of a stochastic cholera model with multiple pathways of transmission

Mingyu Song et al.

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS (2020)

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Article Mathematics, Applied

The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence

Qingshan Yang et al.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2012)

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Article Mathematics, Applied

EXISTENCE THEOREMS FOR PERIODIC MARKOV PROCESS AND STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS

Daoyi Xu et al.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2009)

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Article Biology

Stability analysis and optimal vaccination of an SIR epidemic model

Gul Zaman et al.

BIOSYSTEMS (2008)

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Density function and stationary distribution of a stochastic SIR model with distributed delay

相关参考文献

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

Stationary distribution and extinction of a stochastic model of syphilis transmission in an MSM population with telegraph noises

A deterministic time-delayed SIR epidemic model: mathematical modeling and analysis

Stationary distribution and ergodicity of a stochastic cholera model with multiple pathways of transmission

The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence

EXISTENCE THEOREMS FOR PERIODIC MARKOV PROCESS AND STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS

Stability analysis and optimal vaccination of an SIR epidemic model

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