Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysis
We investigate the dynamics of a wild-type viral strain which generates mutant strains differing in phenotypic properties for infectivity, virulence and mutation rates. We study, by means of a mathematical model and bifurcation analysis, conditions under which the wild-type and mutant viruses, which...
| Prif Awduron: | , , , , |
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| Fformat: | Journal article |
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Royal Society
2019
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| _version_ | 1826297075503988736 |
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| author | Nurtay, A Hennessy, M Sardanyes, J Alseda, L Elena, S |
| author_facet | Nurtay, A Hennessy, M Sardanyes, J Alseda, L Elena, S |
| author_sort | Nurtay, A |
| collection | OXFORD |
| description | We investigate the dynamics of a wild-type viral strain which generates mutant strains differing in phenotypic properties for infectivity, virulence and mutation rates. We study, by means of a mathematical model and bifurcation analysis, conditions under which the wild-type and mutant viruses, which compete for the same host cells, can coexist. The coexistence conditions are formulated in terms of the basic reproductive numbers of the strains, a maximum value of the mutation rate and the virulence of the pathogens. The analysis reveals that parameter space can be divided into five regions, each with distinct dynamics, that are organized around degenerate Bogdanov–Takens and zero-Hopf bifurcations, the latter of which gives rise to a curve of transcritical bifurcations of periodic orbits. These results provide new insights into the conditions by which viral populations may contain multiple coexisting strains in a stable manner. |
| first_indexed | 2024-03-07T04:26:04Z |
| format | Journal article |
| id | oxford-uuid:ccaa3bbb-d5a1-4d62-adb7-a9e055c7ebc5 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T04:26:04Z |
| publishDate | 2019 |
| publisher | Royal Society |
| record_format | dspace |
| spelling | oxford-uuid:ccaa3bbb-d5a1-4d62-adb7-a9e055c7ebc52022-03-27T07:23:34ZTheoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysisJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ccaa3bbb-d5a1-4d62-adb7-a9e055c7ebc5Symplectic Elements at OxfordRoyal Society2019Nurtay, AHennessy, MSardanyes, JAlseda, LElena, SWe investigate the dynamics of a wild-type viral strain which generates mutant strains differing in phenotypic properties for infectivity, virulence and mutation rates. We study, by means of a mathematical model and bifurcation analysis, conditions under which the wild-type and mutant viruses, which compete for the same host cells, can coexist. The coexistence conditions are formulated in terms of the basic reproductive numbers of the strains, a maximum value of the mutation rate and the virulence of the pathogens. The analysis reveals that parameter space can be divided into five regions, each with distinct dynamics, that are organized around degenerate Bogdanov–Takens and zero-Hopf bifurcations, the latter of which gives rise to a curve of transcritical bifurcations of periodic orbits. These results provide new insights into the conditions by which viral populations may contain multiple coexisting strains in a stable manner. |
| spellingShingle | Nurtay, A Hennessy, M Sardanyes, J Alseda, L Elena, S Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysis |
| title | Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysis |
| title_full | Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysis |
| title_fullStr | Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysis |
| title_full_unstemmed | Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysis |
| title_short | Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits: a bifurcation analysis |
| title_sort | theoretical conditions for the coexistence of viral strains with differences in phenotypic traits a bifurcation analysis |
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