Equivariant Hopf Bifurcation in a Time-Delayed Ring of Antigenic Variants
We consider an intrahost malaria model allowing for antigenic variation within a single species. The host’s immune response is compartmentalised into reactions to major and minor epitopes. We investigate the dynamics of the model, paying particular attention to bifurcation and stability of the unifo...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2016/5915768 |
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| author | Israel Ncube |
| author_facet | Israel Ncube |
| author_sort | Israel Ncube |
| collection | DOAJ |
| description | We consider an intrahost malaria model allowing for antigenic variation within a single species. The host’s immune response is compartmentalised into reactions to major and minor epitopes. We investigate the dynamics of the model, paying particular attention to bifurcation and stability of the uniform nonzero endemic equilibrium. We establish conditions for the existence of an equivariant Hopf bifurcation in a ring of antigenic variants, characterised by time delay. |
| format | Article |
| id | doaj-art-e842307452784c2c8d0c82c9a06a6e12 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-e842307452784c2c8d0c82c9a06a6e122025-02-03T01:22:48ZengWileyInternational Journal of Differential Equations1687-96431687-96512016-01-01201610.1155/2016/59157685915768Equivariant Hopf Bifurcation in a Time-Delayed Ring of Antigenic VariantsIsrael Ncube0College of Engineering, Technology, and Physical Sciences, Department of Mathematics, Alabama A & M University, 4900 Meridian Street North, Huntsville, AL 35762, USAWe consider an intrahost malaria model allowing for antigenic variation within a single species. The host’s immune response is compartmentalised into reactions to major and minor epitopes. We investigate the dynamics of the model, paying particular attention to bifurcation and stability of the uniform nonzero endemic equilibrium. We establish conditions for the existence of an equivariant Hopf bifurcation in a ring of antigenic variants, characterised by time delay.http://dx.doi.org/10.1155/2016/5915768 |
| spellingShingle | Israel Ncube Equivariant Hopf Bifurcation in a Time-Delayed Ring of Antigenic Variants International Journal of Differential Equations |
| title | Equivariant Hopf Bifurcation in a Time-Delayed Ring of Antigenic Variants |
| title_full | Equivariant Hopf Bifurcation in a Time-Delayed Ring of Antigenic Variants |
| title_fullStr | Equivariant Hopf Bifurcation in a Time-Delayed Ring of Antigenic Variants |
| title_full_unstemmed | Equivariant Hopf Bifurcation in a Time-Delayed Ring of Antigenic Variants |
| title_short | Equivariant Hopf Bifurcation in a Time-Delayed Ring of Antigenic Variants |
| title_sort | equivariant hopf bifurcation in a time delayed ring of antigenic variants |
| url | http://dx.doi.org/10.1155/2016/5915768 |
| work_keys_str_mv | AT israelncube equivarianthopfbifurcationinatimedelayedringofantigenicvariants |