Dynamical behaviors of a stochastic SIVS epidemic model with the Ornstein-Uhlenbeck process and vaccination of newborns

In this paper, we study a stochastic SIVS infectious disease model with the Ornstein-Uhlenbeck process and newborns with vaccination. First, we demonstrate the theoretical existence of a unique global positive solution in accordance with this model. Second, adequate conditions are inferred for the i...

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Bibliographic Details
Published in:PloS one 2024-10, Vol.19 (10), p.e0310175
Main Authors: Li, Shenxing, Li, Wenhe
Format: Article
Language:English
Subjects:
Analysis
Biology and Life Sciences
China
Communicable diseases
Communicable Diseases - epidemiology
Computer and Information Sciences
Computer Simulation
Demographic aspects
Distribution
Distribution (Probability theory)
Engineering and Technology
Epidemics
Epidemics - prevention & control
Health aspects
Humans
Infant, Newborn
Infants (Newborn)
Learning models (Stochastic processes)
Medical research
Medicine and Health Sciences
Medicine, Experimental
Numerical analysis
Physical Sciences
Simulation methods
Stochastic Processes
Vaccination
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Summary:In this paper, we study a stochastic SIVS infectious disease model with the Ornstein-Uhlenbeck process and newborns with vaccination. First, we demonstrate the theoretical existence of a unique global positive solution in accordance with this model. Second, adequate conditions are inferred for the infectious disease to die out and persist. Then, by classic Lynapunov function method, the stochastic model is allowed to obtain the sufficient condition so that the stochastic model has a stationary distribution represents illness persistence in the absence of endemic equilibrium. Calculating the associated Fokker-Planck equations yields the precise expression of the probability density function for the linearized system surrounding the quasi-endemic equilibrium. In the end, the theoretical findings are shown by numerical simulations.
ISSN:1932-6203
1932-6203
DOI:10.1371/journal.pone.0310175