Asymptotic Behavior of the Solution of a Random SIQS Epidemic Model with Nonlinear Infection Rate

AbstractAn SEIR epidemic model with constant immigration and random fluctuation around the endemic equilibrium is considered. As a special case, a deterministic system discussed by Li et al. will be incorporated into the stochastic version given by us. We carry out a detailed analysis on the asymptotic behavior of the stochastic model, also regarding of the basic reproduction number ℛ

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Classification of asymptotic behavior in a stochastic SIS epidemic model with vaccination

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2019.01.118 ◽

2019 ◽

Vol 521 ◽

pp. 661-666

Author(s):

Manli Jin

Keyword(s):

Asymptotic Behavior ◽

Epidemic Model ◽

Sis Epidemic Model ◽

Stochastic Sis Epidemic Model ◽

Sis Epidemic

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Estimating the infection rate of a SIR epidemic model via differential elimination

2019 18th European Control Conference (ECC) ◽

10.23919/ecc.2019.8795991 ◽

2019 ◽

Author(s):

Rosane Ushirobira ◽

Denis Efimov ◽

Pierre-Alexandre Blirnan

Keyword(s):

Infection Rate ◽

Epidemic Model ◽

Sir Epidemic Model ◽

Sir Epidemic ◽

Differential Elimination

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On invariant measures and the asymptotic behavior of a stochastic delayed SIRS epidemic model

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2019.04.181 ◽

2019 ◽

Vol 523 ◽

pp. 1008-1023

Author(s):

Xiaoming Fu

Keyword(s):

Asymptotic Behavior ◽

Epidemic Model ◽

Invariant Measures ◽

Sirs Epidemic Model

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A Stochastic Model with Saturation Infection for Internal HIV Dynamics

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.713-715.1546 ◽

2015 ◽

Vol 713-715 ◽

pp. 1546-1551 ◽

Cited By ~ 1

Author(s):

Jin Qiang Wang ◽

Mao Xing Liu

Keyword(s):

Asymptotic Behavior ◽

Stochastic Model ◽

Numerical Simulations ◽

Infection Rate ◽

Virus Dynamics ◽

Hiv Dynamics

In this paper, a stochastic model with a saturation infection rate representing HIV internal virus dynamics is investigated. We prove that the model exists non-negative solutions. Then we analyse the asymptotic behavior of the model. Finally, numerical simulations are presented to illustrate our mathematical findings.

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