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Dynamical Analysis of the SEIB Model for Brucellosis Transmission to the Dairy Cows with Immunological Threshold
Joint Authors
Zhang, Wei
Zhang, Juan
Wu, Yong-Ping
Li, Li
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-05-23
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
As we all know, bacteria is different from virus which with certain types can be killed by the immune cells in the body.
The brucellosis, a bacterial disease, can invade the body by indirect transmission from environment, which has not been researched by combining with immune cells.
Considering the effects of immune cells, we put a minimum infection dose of brucellosis invading into the dairy cows as an immunological threshold and get a switch model.
In this paper, we accomplish a thorough dynamics analysis of a SEIB switch model.
On the one hand, we can get a disease-free and bacteria-free steady state and up to three endemic steady states which may be thoroughly analyzed in different cases of a minimum infection dose in a switch model.
On the other hand, we calculate the basic reproduction number R0 and know that the disease-free and bacteria-free steady state is a global stability when R0<1, and the one of the endemic steady state is a conditionally global stability when R0>1.
We find that different amounts of R0 may lead to different steady states of brucellosis, and considering the effects of immunology is more serious in mathematics and biology.
American Psychological Association (APA)
Zhang, Wei& Zhang, Juan& Wu, Yong-Ping& Li, Li. 2019. Dynamical Analysis of the SEIB Model for Brucellosis Transmission to the Dairy Cows with Immunological Threshold. Complexity،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1132501
Modern Language Association (MLA)
Zhang, Wei…[et al.]. Dynamical Analysis of the SEIB Model for Brucellosis Transmission to the Dairy Cows with Immunological Threshold. Complexity No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1132501
American Medical Association (AMA)
Zhang, Wei& Zhang, Juan& Wu, Yong-Ping& Li, Li. Dynamical Analysis of the SEIB Model for Brucellosis Transmission to the Dairy Cows with Immunological Threshold. Complexity. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1132501
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132501