Dynamics of a stochastic SEIQR model driven by Lévy jumps with bilinear incidence rates.
basic_science · Level V
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- Record sourced from PubMed, PMID 38875218.
- Also identified by DOI 10.1371/journal.pone.0305139 and PMC identifier 11178162.
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Abstract
In this study, we propose a stochastic SEIQR infectious disease model driven by Lévy noise. Firstly, we study the existence and uniqueness of the global positive solution of the model by using the stop-time. Secondly, the asymptotic behavior of the stochastic system at disease-free equilibrium and endemic equilibrium are discussed. Then, the sufficient condition for persistence under the time mean is studied. Finally, our theoretical results are verified by numerical simulation.
Medical subject headings
- Stochastic Processes
- Communicable Diseases