Stability of a delay equation arising from ajuvenile-adult model
We consider a delay equation that has been formulated from ajuvenile-adult population model. We give respective conditions onthe vital rates to ensure local stability of the positiveequilibrium and global stability of the trivial equilibrium. We alsoshow that under certain conditions the equation un...
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| Format: | Article |
| Language: | English |
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AIMS Press
2010-09-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.729 |
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| author | Azmy S. Ackleh Keng Deng |
| author_facet | Azmy S. Ackleh Keng Deng |
| author_sort | Azmy S. Ackleh |
| collection | DOAJ |
| description | We consider a delay equation that has been formulated from ajuvenile-adult population model. We give respective conditions onthe vital rates to ensure local stability of the positiveequilibrium and global stability of the trivial equilibrium. We alsoshow that under certain conditions the equation undergoes a Hopfbifurcation. We then study global asymptotic stability and presentbifurcation diagrams for two special cases of the model. |
| format | Article |
| id | doaj-art-99e16a120ecb495ba8d3f22869948083 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2010-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-99e16a120ecb495ba8d3f228699480832025-01-24T02:00:58ZengAIMS PressMathematical Biosciences and Engineering1551-00182010-09-017472973710.3934/mbe.2010.7.729Stability of a delay equation arising from ajuvenile-adult modelAzmy S. Ackleh0Keng Deng1Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504-1010Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504-1010We consider a delay equation that has been formulated from ajuvenile-adult population model. We give respective conditions onthe vital rates to ensure local stability of the positiveequilibrium and global stability of the trivial equilibrium. We alsoshow that under certain conditions the equation undergoes a Hopfbifurcation. We then study global asymptotic stability and presentbifurcation diagrams for two special cases of the model.https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.729instability.continuous juvenile-adult modelstabilitydelay equation |
| spellingShingle | Azmy S. Ackleh Keng Deng Stability of a delay equation arising from ajuvenile-adult model Mathematical Biosciences and Engineering instability. continuous juvenile-adult model stability delay equation |
| title | Stability of a delay equation arising from ajuvenile-adult model |
| title_full | Stability of a delay equation arising from ajuvenile-adult model |
| title_fullStr | Stability of a delay equation arising from ajuvenile-adult model |
| title_full_unstemmed | Stability of a delay equation arising from ajuvenile-adult model |
| title_short | Stability of a delay equation arising from ajuvenile-adult model |
| title_sort | stability of a delay equation arising from ajuvenile adult model |
| topic | instability. continuous juvenile-adult model stability delay equation |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.729 |
| work_keys_str_mv | AT azmysackleh stabilityofadelayequationarisingfromajuvenileadultmodel AT kengdeng stabilityofadelayequationarisingfromajuvenileadultmodel |