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Página principal > Artículos > Artículos publicados > Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits : |
Fecha: | 2019 |
Resumen: | 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. |
Ayudas: | Ministerio de Economía y Competitividad MDM2014-0445 Ministerio de Economía y Competitividad MTM2014-52209-C2-1-P Ministerio de Economía y Competitividad MTM2017-86795-C3-1-P European Commission 707658 Ministerio de Economía y Competitividad BFU2015-65037-P Ministerio de Ciencia e Innovación RYC-2017-22243 |
Nota: | Altres ajuts: CERCA Programme/Generalitat de Catalunya |
Derechos: | Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió acceptada per publicar |
Materia: | Bifurcations ; Epidemiology ; Infection dynamics ; Mathematical biology ; Virus evolution |
Publicado en: | Royal Society Open Science, Vol. 6, Issue 1 (January 2019) , art. 181179, ISSN 2054-5703 |
Postprint 22 p, 3.7 MB |
19 p, 863.9 KB |