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On modeling two immune effectors two strain antigen interaction
In this paper we consider the fractional order model with two immune effectors interacting with two strain antigen. The systems may explain the recurrence of some diseases e.g. tuberculosis (TB). The stability of equilibrium points are studied. Numerical solutions of this model are given. Using inte...
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| Formato: | Texto |
| Lenguaje: | English |
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BioMed Central
2010
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3012021/ https://www.ncbi.nlm.nih.gov/pubmed/21106113 http://dx.doi.org/10.1186/1753-4631-4-6 |
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| author | Ahmed, El-Sayed M El-Saka, Hala A |
| author_facet | Ahmed, El-Sayed M El-Saka, Hala A |
| author_sort | Ahmed, El-Sayed M |
| collection | PubMed |
| description | In this paper we consider the fractional order model with two immune effectors interacting with two strain antigen. The systems may explain the recurrence of some diseases e.g. tuberculosis (TB). The stability of equilibrium points are studied. Numerical solutions of this model are given. Using integer order system the system oscillates. Using fractional order system the system converges to a stable internal equilibrium. Ulam-Hyers stability of the system has been studied. |
| format | Text |
| id | pubmed-3012021 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2010 |
| publisher | BioMed Central |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-30120212011-01-10 On modeling two immune effectors two strain antigen interaction Ahmed, El-Sayed M El-Saka, Hala A Nonlinear Biomed Phys Debate In this paper we consider the fractional order model with two immune effectors interacting with two strain antigen. The systems may explain the recurrence of some diseases e.g. tuberculosis (TB). The stability of equilibrium points are studied. Numerical solutions of this model are given. Using integer order system the system oscillates. Using fractional order system the system converges to a stable internal equilibrium. Ulam-Hyers stability of the system has been studied. BioMed Central 2010-11-25 /pmc/articles/PMC3012021/ /pubmed/21106113 http://dx.doi.org/10.1186/1753-4631-4-6 Text en Copyright ©2010 Ahmed and El-Saka; licensee BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (<url>http://creativecommons.org/licenses/by/2.0</url>), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
| spellingShingle | Debate Ahmed, El-Sayed M El-Saka, Hala A On modeling two immune effectors two strain antigen interaction |
| title | On modeling two immune effectors two strain antigen interaction |
| title_full | On modeling two immune effectors two strain antigen interaction |
| title_fullStr | On modeling two immune effectors two strain antigen interaction |
| title_full_unstemmed | On modeling two immune effectors two strain antigen interaction |
| title_short | On modeling two immune effectors two strain antigen interaction |
| title_sort | on modeling two immune effectors two strain antigen interaction |
| topic | Debate |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3012021/ https://www.ncbi.nlm.nih.gov/pubmed/21106113 http://dx.doi.org/10.1186/1753-4631-4-6 |
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