Stochastic SIS epidemic model
Extinction and persistence of a stochastic SIS epidemic model with vertical transmission, specific functional response and Levy jumps
... Abstract. In this paper, we study the dynamics of a stochastic SIS epidemic model with vertical transmission and specific functional response. The environment variability in this work is ...
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Dynamical analysis of a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis
... a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis is proposed and ...of stochastic disturbance on disease ...neglecting ...
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Dynamics of a stochastic SIS epidemic model with nonlinear incidence rates
... of stochastic environment noise on infection rate, a stochastic SIS epidemic model with nonlinear incidence rate is proposed and ...the stochastic system, the global dynamics is ...
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The threshold of stochastic SIS epidemic model with saturated incidence rate
... Epidemic models have been studied by many researchers due to their great influence on human life. Most of the researchers are interested in the incidence rate, some employ the bilinear incidence rate β SI [, ]; ...
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Parameter estimation for the stochastic SIS epidemic model
... in stochastic differential equations (SDEs) is a non-trivial problem [2, ...the stochastic ’grey box’ model and presents the approximate MLE approach based on normal approximation and use of the ...
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Random periodic solution for a stochastic SIS epidemic model with constant population size
... the model are always estimated by using the regression method with certain confidence intervals, which reveals that the parameters can exhibit random fluc- tuations to some ...the stochastic epidemic ...
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The persistence and extinction of a stochastic SIS epidemic model with Logistic growth
... model from several aspects: the result that stochastic model (9) admits a unique positive solution will be studied in the next section. The sufficient conditions of the persistence for the infected ...
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The asymptotic behavior of a stochastic SIS epidemic model with vaccination
... Jing Fu et al. introduced stochasticity into a multigroup SIS model in []. They presented the sufficient condition for the exponential extinction of the disease and proved that the noises significantly raise ...
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Dynamics of stochastic sis epidemic model with vertical transmission
... realism, epidemic models are always affected by the environmental noise (Mao,, ...the epidemic model. In this article, based on a deterministic epidemic model (1), we shall propose a ...
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The SIS epidemic model with Markovian switching
... and stochastic SIS epidemic ...an SIS epidemic model with vaccination and Van den Driessche and Watmough [37] study backward bifurcation in an SIS epidemic ...
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The threshold of a stochastic SIQS epidemic model
... fact, epidemic models are inevitably affected by environmental white noise which is an important component in realism, because it can provide an additional degree of realism in comparison to their deterministic ...
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Stochastic regime switching SIS epidemic model with vaccination driven by Lévy noise
... a stochastic SIS epidemic model with vaccination by introducing a Lévy noise and regime switching into the epidemic ...the stochastic model admits a unique global positive ...
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Demographic stochasticity in the SDE SIS epidemic model
... SDE SIS model with demographic stochasticity that we shall look at in this paper has been derived fully in details in [1] with the model given in section ...this model, we have assumed that an ...
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Threshold Dynamics of the Stochastic SIRC Epidemic Model
... SI model is suitable for the disease without recurrent seizures. The SIS model can describe the patient getting sick ...SIR model is used when the patient are immunized after ...
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The deterministic Kermack McKendrick model bounds the general stochastic epidemic
... Infected), stochastic and deterministic epidemics (Bailey 1975, Chapter ...deterministic model underestimates the expected number of susceptibles in the stochastic model at any given time t ...
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A Comparison of Threshold Parameters in Deterministic SIS and SI1I2S Models and Stochastic SIS and SI1I2S Models.
... process model employed by Allen and Driessche [4] in chapter ...an epidemic model in chapter 3. In our model the parameters governing infection rate and recovery rate vary at each time ...
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A STOCHASTIC MODEL FOR HIV EPIDEMIC WITH TREATMENT AND INFLOW OF INFECTIVES
... in epidemic models may not be absolutely constant, due to inhomogeneities and environmental ...introduce stochastic differential equation (sde) models in the population dy- namics of infectious ...sde ...
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Stability analysis of a stochastic SIS model with double epidemic hypothesis and specific nonlinear incidence rate
... classic SIS epidemic model, the disease is caused by one ...the epidemic model with double epidemic hypothesis which has two epidemic diseases caused by two different ...
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Dynamical behaviors of a stochastic SIRS epidemic model
... of stochastic term into deterministic models witch do incorporate the effect of fluctuat- ing ...formulate stochastic differential equation (SDE) there is many approach, ...tions stochastic by withe ...
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The bifurcation analysis and optimal feedback mechanism for an SIS epidemic model on networks
... in epidemic system on networks ...network-based SIS model to analyze the epidemic ...of epidemic models on networks, such as SIS [7–11], SIR [12, 13], SIRS [14, 15], WSIS [16], ...
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