Dynamics and Stability Analysis of a Brucellosis Model with Two Discrete Delays
Joint Authors
Lolika, Paride O.
Mushayabasa, Steady
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-07
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
We present a mathematical model for brucellosis transmission that incorporates two discrete delays and culling of infected animals displaying signs of brucellosis infection.
The first delay represents the incubation period while the second account for the time needed to detect and cull infectious animals.
Feasibility and stability of the model steady states have been determined analytically and numerically.
Further, the occurrence of Hopf bifurcation has been established.
Overall the findings from the study, both analytical and numerical, suggest that the two delays can destabilize the system and periodic solutions can arise through Hopf bifurcation.
American Psychological Association (APA)
Lolika, Paride O.& Mushayabasa, Steady. 2018. Dynamics and Stability Analysis of a Brucellosis Model with Two Discrete Delays. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-20.
https://search.emarefa.net/detail/BIM-1152735
Modern Language Association (MLA)
Lolika, Paride O.& Mushayabasa, Steady. Dynamics and Stability Analysis of a Brucellosis Model with Two Discrete Delays. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-20.
https://search.emarefa.net/detail/BIM-1152735
American Medical Association (AMA)
Lolika, Paride O.& Mushayabasa, Steady. Dynamics and Stability Analysis of a Brucellosis Model with Two Discrete Delays. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-20.
https://search.emarefa.net/detail/BIM-1152735
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152735