Journal
INTERNATIONAL JOURNAL OF BIOMATHEMATICS
Volume 13, Issue 8, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S1793524520500722
Keywords
Stochastic periodic model; delay; extinction; stochastically ultimate boundedness; persistence
Categories
Funding
- National Natural Science Foundation of China [11701495]
- Scientific and Technological Key Projects of Henan Province [192102310193]
- Nanhu Scholars Program for Young Scholars of XYNU
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Dynamical behaviors of a stochastic periodic SIRS epidemic model with time delay are investigated. By constructing suitable Lyapunov functions and applying Ito's formula, the existence of the global positive solution and the property of stochastically ultimate boundedness of model (1.1) are proved. Moreover, the extinction and the persistence of the disease are established. The results are verified by numerical simulations.
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