Global stability of equilibria in a tick-borne disease model
In this short note we establish global stability results for afour-dimensional nonlinear system that was developed in modeling atick-borne disease by H.D. Gaff and L.J. Gross (Bull. Math. Biol.,69 (2007), 265--288) where local stability results wereobtained. These results provide the parameter ra...
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| Format: | Article |
| Language: | English |
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AIMS Press
2007-07-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.567 |
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| _version_ | 1832590213676793856 |
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| author | Shangbing Ai |
| author_facet | Shangbing Ai |
| author_sort | Shangbing Ai |
| collection | DOAJ |
| description | In this short note we establish global stability results for afour-dimensional nonlinear system that was developed in modeling atick-borne disease by H.D. Gaff and L.J. Gross (Bull. Math. Biol.,69 (2007), 265--288) where local stability results wereobtained. These results provide the parameter ranges for controllinglong-term population and disease dynamics. |
| format | Article |
| id | doaj-art-c5eaf8cb36374b9e8c880dae9a83713c |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2007-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-c5eaf8cb36374b9e8c880dae9a83713c2025-01-24T01:54:07ZengAIMS PressMathematical Biosciences and Engineering1551-00182007-07-014456757210.3934/mbe.2007.4.567Global stability of equilibria in a tick-borne disease modelShangbing Ai0Department of Mathematical Sciences, University of Alabama in Huntsville, Huntsville, AL 35899In this short note we establish global stability results for afour-dimensional nonlinear system that was developed in modeling atick-borne disease by H.D. Gaff and L.J. Gross (Bull. Math. Biol.,69 (2007), 265--288) where local stability results wereobtained. These results provide the parameter ranges for controllinglong-term population and disease dynamics.https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.567tick-borne disease modelglobal stability. |
| spellingShingle | Shangbing Ai Global stability of equilibria in a tick-borne disease model Mathematical Biosciences and Engineering tick-borne disease model global stability. |
| title | Global stability of equilibria in a tick-borne disease model |
| title_full | Global stability of equilibria in a tick-borne disease model |
| title_fullStr | Global stability of equilibria in a tick-borne disease model |
| title_full_unstemmed | Global stability of equilibria in a tick-borne disease model |
| title_short | Global stability of equilibria in a tick-borne disease model |
| title_sort | global stability of equilibria in a tick borne disease model |
| topic | tick-borne disease model global stability. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.567 |
| work_keys_str_mv | AT shangbingai globalstabilityofequilibriainatickbornediseasemodel |