AI Article Synopsis
- The proposed model is a unified stochastic SIR (Susceptible, Infected, Recovered) framework influenced by Lévy noise, incorporating various factors like time dependence, nonlinearity, and environmental changes.
- It offers clear findings on the existence and uniqueness of solutions, focusing on the conditions for disease extinction versus persistence in the population.
- The study includes practical examples and simulations to demonstrate and reinforce the key findings of the model.
Article Abstract
We propose a unified stochastic SIR model driven by Lévy 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.
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11252215 | PMC |
| http://dx.doi.org/10.1186/s13662-024-03818-3 | DOI Listing |
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