A Unified Stochastic SIR Model Driven By L\'{e}vy Noise With Time-Dependency
Probability
2024-03-06 v3
Abstract
We propose a unified stochastic SIR model driven by L\'{e}vy 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.
Keywords
Cite
@article{arxiv.2201.03406,
title = {A Unified Stochastic SIR Model Driven By L\'{e}vy Noise With Time-Dependency},
author = {Terry Easlick and Wei Sun},
journal= {arXiv preprint arXiv:2201.03406},
year = {2024}
}