Evolutionary Dynamics of Stochastic SEIR Models with Migration and Human Awareness in Complex Networks
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-28
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In this paper, a stochastic SEIR (Susceptible-Exposed-Infected-Removed) epidemic dynamic model with migration and human awareness in complex networks is constructed.
The awareness is described by an exponential function.
The existence of global positive solutions for the stochastic system in complex networks is obtained.
The sufficient conditions are presented for the extinction and persistence of the disease.
Under the conditions of disease persistence, the distance between the stochastic solution and the local disease equilibrium of the corresponding deterministic system is estimated in the time sense.
Some numerical experiments are also presented to illustrate the theoretical results.
Although the awareness introduced in the model cannot affect the extinction of the disease, the scale of the disease will eventually decrease as human awareness increases.
American Psychological Association (APA)
Zhang, Yue& Li, Yuxuan. 2020. Evolutionary Dynamics of Stochastic SEIR Models with Migration and Human Awareness in Complex Networks. Complexity،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1141670
Modern Language Association (MLA)
Zhang, Yue& Li, Yuxuan. Evolutionary Dynamics of Stochastic SEIR Models with Migration and Human Awareness in Complex Networks. Complexity No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1141670
American Medical Association (AMA)
Zhang, Yue& Li, Yuxuan. Evolutionary Dynamics of Stochastic SEIR Models with Migration and Human Awareness in Complex Networks. Complexity. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1141670
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1141670