Stability of stochastic SIS model with disease deaths and variable diffusion rates
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DOI: 10.14232/ejqtde.2019.1.14
Abstract: The SIS model is a fundamental model that helps to understand the spread of an infectious disease, in which infected individuals recover without immunity. Because of the random nature of infectious diseases, we can estimate… read more here.
Keywords: variable diffusion; disease; model; stochastic sis ... See more keywords
Dynamical Behaviors of Stochastic SIS Epidemic Model with Ornstein-Uhlenbeck Process
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DOI: 10.3390/axioms13060353
Abstract: Controlling infectious diseases has become an increasingly complex issue, and vaccination has become a common preventive measure to reduce infection rates. It has been thought that vaccination protects the population. However, there is no fully… read more here.
Keywords: sis epidemic; stochastic sis; ornstein uhlenbeck; model ... See more keywords
Stationary Distribution and Density Function for a High-Dimensional Stochastic SIS Epidemic Model with Mean-Reverting Stochastic Process
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DOI: 10.3390/axioms13110768
Abstract: This paper explores a high-dimensional stochastic SIS epidemic model characterized by a mean-reverting, stochastic process. Firstly, we establish the existence and uniqueness of a global solution to the stochastic system. Additionally, by constructing a series… read more here.
Keywords: epidemic model; sis epidemic; stochastic sis; high dimensional ... See more keywords