• Corpus ID: 249954124

A Unified Stochastic SIR Model Driven By L\'{e}vy Noise With Time-Dependency

@inproceedings{Easlick2022AUS,
  title={A Unified Stochastic SIR Model Driven By L\'\{e\}vy Noise With Time-Dependency},
  author={Terry Easlick and Wei Sun},
  year={2022}
}
We propose a unified stochastic SIR model driven by L´evy noise. The model is structural enough to allow for time-dependency, nonlinearity, discontinuity, demography and environmental disturbances. We present concise results on the existence and uniqueness of positive global solutions and investigate the extinction and persistence of the novel model. Examples and simulations are provided to illustrate the main results. MSC: 

References

SHOWING 1-10 OF 22 REFERENCES

Dynamics of a stochastic SIR epidemic model driven by Lévy jumps with saturated incidence rate and saturated treatment function

Abstract In this article, we consider a stochastic SIR model with a saturated incidence rate and saturated treatment function incorporating Lévy noise. First, we prove the existence of a unique

Stochastic SIR Lévy Jump Model with Heavy-Tailed Increments

The results show that persistence and extinction are dependent not only on the variance of the processes increments, but also on the shapes of their distributions.

Analysis of a Stochastic SIR Model with Vaccination and Nonlinear Incidence Rate

We expand an SIR epidemic model with vertical and nonlinear incidence rates from a deterministic frame to a stochastic one. The existence of a positive global analytical solution of the proposed

A stochastic SIR epidemic model with Lévy jump and media coverage

A stochastic susceptible–infectious–recovered epidemic model with temporary immunity and media coverage, with effects of Lévy jumps on the dynamics of the model, obtained a unique global positive solution.

Stochastic SIR model with jumps