PMID: 11308912Apr 20, 2001Paper

Anomalous behavior of the contact process with aging

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
S N Dorogovtsev, J F Mendes

Abstract

The effect of power-law aging on a contact process is studied by simulation and using a mean-field approach. The introduced type of aging accounts for, e.g., the growth of the virus fitness (HIV infection). We find that the system may approach its stationary state in a nontrivial, nonmonotonous way. For the particular value of the aging exponent alpha=1 we observe a rich set of behaviors: depending on the process parameters, the relaxation to the stationary state proceeds as 1/ln t or via a power law with a nonuniversal exponent. Simulation results suggest that for 0<alpha<1, the absorbing-state phase transition is in the universality class of directed percolation.

References

Nov 15, 1991·Science·M A NowakR M May
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Sep 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·I Jensen, R Dickman
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Jan 15, 1996·Physical Review Letters·M A MuñozR Livi

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Citations

Dec 20, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Han ZhuJian-Yang Zhu
Sep 28, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Joshua S Weitz, Daniel H Rothman
Aug 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S I Denisov, Werner Horsthemke
Mar 23, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Rouzbeh Gerami

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