Dynamics of evolutionary competition between budding and lytic viral release strategies

  • Received: 01 January 2014 Accepted: 29 June 2018 Published: 01 June 2014
  • MSC : Primary: 34K20, 92B05; Secondary: 34K25, 92D25.

  • In this paper, we consider the evolutionary competition between budding and lytic viral release strategies, using a delay differential equation model with distributed delay. When antibody is not established, the dynamics of competition depends on the respective basic reproductive ratios of the two viruses. If the basic reproductive ratio of budding virus is greater than that of lytic virus and one, budding virus can survive. When antibody is established for both strains but the neutralization capacities are the same for both strains, consequence of the competition also depends only on the basic reproductive ratios of the budding and lytic viruses. Using two concrete forms of the viral production functions, we are also able to conclude that budding virus will outcompete if the rates of viral production, death rates of infected cells and neutralizing capacities of the antibodies are the same for budding and lytic viruses. In this case, budding strategy would have an evolutionary advantage. However, if the antibody neutralization capacity for the budding virus is larger than that for the lytic virus, the lytic virus can outcompete the budding virus provided that its reproductive ratio is very high. An explicit threshold is derived.

    Citation: Xiulan Lai, Xingfu Zou. Dynamics of evolutionary competition between budding and lytic viral release strategies[J]. Mathematical Biosciences and Engineering, 2014, 11(5): 1091-1113. doi: 10.3934/mbe.2014.11.1091

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  • In this paper, we consider the evolutionary competition between budding and lytic viral release strategies, using a delay differential equation model with distributed delay. When antibody is not established, the dynamics of competition depends on the respective basic reproductive ratios of the two viruses. If the basic reproductive ratio of budding virus is greater than that of lytic virus and one, budding virus can survive. When antibody is established for both strains but the neutralization capacities are the same for both strains, consequence of the competition also depends only on the basic reproductive ratios of the budding and lytic viruses. Using two concrete forms of the viral production functions, we are also able to conclude that budding virus will outcompete if the rates of viral production, death rates of infected cells and neutralizing capacities of the antibodies are the same for budding and lytic viruses. In this case, budding strategy would have an evolutionary advantage. However, if the antibody neutralization capacity for the budding virus is larger than that for the lytic virus, the lytic virus can outcompete the budding virus provided that its reproductive ratio is very high. An explicit threshold is derived.


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    [1] Proc. R. Soc. B., 272 (2005), 2065-2072.
    [2] John Wiley and Sons, Ltd, 2007.
    [3] in Mathematical Population Dynamics: Analysis of Heterogeneity, I. Theory of Epidemics (eds. O. Arino, et al.), Wuerz, Winnnipeg, 1995, 33-50.
    [4] Bull. Math. Biol., 65 (2003), 1003-1023.
    [5] Microbiology and Moleculer Biology Reviews, 62 (1998), 1171-1190.
    [6] J. Theor. Biol. 229 (2004), 281-288.
    [7] Springer-Verlag, New York, 1993.
    [8] J. Theor. Biol., 249 (2007), 766-784.
    [9] Virus Research, 106 (2004), 147-165.
    [10] Math. Biosci. Eng., 1 (2004), 267-288.
    [11] J. Appl. Math., 67 (2007), 731-756.
    [12] Mathematical Surveys and Monographs, 41, AMS, Providence, 1995.
    [13] Evolutionary Ecology, 10 (1996), 545-558.
    [14] Genetics, 172 (2006), 17-26.
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