Dynamics and Stability Analysis of a Brucellosis Model with Two Discrete Delays
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 an...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/6456107 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832565168829104128 |
|---|---|
| author | Paride O. Lolika Steady Mushayabasa |
| author_facet | Paride O. Lolika Steady Mushayabasa |
| author_sort | Paride O. Lolika |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-665339d99b02408bb892018c6741dd68 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-665339d99b02408bb892018c6741dd682025-02-03T01:09:11ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/64561076456107Dynamics and Stability Analysis of a Brucellosis Model with Two Discrete DelaysParide O. Lolika0Steady Mushayabasa1University of Zimbabwe, Department of Mathematics, P.O. Box MP 167, Harare, ZimbabweUniversity of Zimbabwe, Department of Mathematics, P.O. Box MP 167, Harare, ZimbabweWe 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.http://dx.doi.org/10.1155/2018/6456107 |
| spellingShingle | Paride O. Lolika Steady Mushayabasa Dynamics and Stability Analysis of a Brucellosis Model with Two Discrete Delays Discrete Dynamics in Nature and Society |
| title | Dynamics and Stability Analysis of a Brucellosis Model with Two Discrete Delays |
| title_full | Dynamics and Stability Analysis of a Brucellosis Model with Two Discrete Delays |
| title_fullStr | Dynamics and Stability Analysis of a Brucellosis Model with Two Discrete Delays |
| title_full_unstemmed | Dynamics and Stability Analysis of a Brucellosis Model with Two Discrete Delays |
| title_short | Dynamics and Stability Analysis of a Brucellosis Model with Two Discrete Delays |
| title_sort | dynamics and stability analysis of a brucellosis model with two discrete delays |
| url | http://dx.doi.org/10.1155/2018/6456107 |
| work_keys_str_mv | AT parideololika dynamicsandstabilityanalysisofabrucellosismodelwithtwodiscretedelays AT steadymushayabasa dynamicsandstabilityanalysisofabrucellosismodelwithtwodiscretedelays |