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- W2004646520 abstract "Effects of immune delay on symmetric dynamics are investigated within a model of antigenic variation in malaria. Using isotypic decomposition of the phase space, stability problem is reduced to the analysis of a cubic transcendental equation for the eigenvalues. This allows one to identify periodic solutions with different symmetries arising at a Hopf bifurcation. In the case of small immune delay, the boundary of the Hopf bifurcation is found in a closed form in terms of system parameters. For arbitrary values of the time delay, general expressions for the critical time delay are found, which indicate bifurcation to an odd or even periodic solution. Numerical simulations of the full system are performed to illustrate different types of dynamical behaviour. The results of this analysis are quite generic and can be used to study within-host dynamics of many infectious diseases." @default.
- W2004646520 created "2016-06-24" @default.
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- W2004646520 date "2012-08-15" @default.
- W2004646520 modified "2023-09-24" @default.
- W2004646520 title "Symmetry Breaking in a Model of Antigenic Variation with Immune Delay" @default.
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- W2004646520 doi "https://doi.org/10.1007/s11538-012-9763-8" @default.
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