6533b862fe1ef96bd12c63b6
RESEARCH PRODUCT
Theoretical conditions for the coexistence of viral strains with differences in phenotypic traits : A bifurcation analysis
Santiago F. ElenaSantiago F. ElenaJosep SardanyésMatthew G. HennessyLluís AlsedàAnel Nurtaysubject
1001infection dynamicsMutation rate6EpidemiologyMutantVirulenceBiology01 natural sciences87010305 fluids & plasmas03 medical and health sciencesBifurcations1190103 physical sciences1008mathematical biologylcsh:Science51 - Matemàtiques030304 developmental biologyGeneticsInfectivityvirus evolution0303 health sciencesMathematical and theoretical biologyMultidisciplinaryStrain (chemistry)Infection dynamicsPhenotypic traitVirus evolutionViral evolutionMathematical biologyepidemiologylcsh:QMatemàtiquesbifurcationsMathematicsResearch Articledescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-01-09 |