Stochastic Periodic Solution of a Susceptible-Infective Epidemic Model in a Polluted Environment under Environmental Fluctuation
Joint Authors
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-02
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
It is well known that the pollution and environmental fluctuations may seriously affect the outbreak of infectious diseases (e.g., measles).
Therefore, understanding the association between the periodic outbreak of an infectious disease and noise and pollution still needs further development.
Here we consider a stochastic susceptible-infective (SI) epidemic model in a polluted environment, which incorporates both environmental fluctuations as well as pollution.
First, the existence of the global positive solution is discussed.
Thereafter, the sufficient conditions for the nontrivial stochastic periodic solution and the boundary periodic solution of disease extinction are derived, respectively.
Numerical simulation is also conducted in order to support the theoretical results.
Our study shows that (i) large intensity noise may help the control of periodic outbreak of infectious disease; (ii) pollution may significantly affect the peak level of infective population and cause adverse health effects on the exposed population.
These results can help increase the understanding of periodic outbreak patterns of infectious diseases.
American Psychological Association (APA)
Zhao, Yu& Li, Jiangping& Ma, Xu. 2018. Stochastic Periodic Solution of a Susceptible-Infective Epidemic Model in a Polluted Environment under Environmental Fluctuation. Computational and Mathematical Methods in Medicine،Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1132145
Modern Language Association (MLA)
Zhao, Yu…[et al.]. Stochastic Periodic Solution of a Susceptible-Infective Epidemic Model in a Polluted Environment under Environmental Fluctuation. Computational and Mathematical Methods in Medicine No. 2018 (2018), pp.1-15.
https://search.emarefa.net/detail/BIM-1132145
American Medical Association (AMA)
Zhao, Yu& Li, Jiangping& Ma, Xu. Stochastic Periodic Solution of a Susceptible-Infective Epidemic Model in a Polluted Environment under Environmental Fluctuation. Computational and Mathematical Methods in Medicine. 2018. Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1132145
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132145