SOME RIGOROUS RESULTS ON THE EIGEN QUASISPECIES MODEL WITH A PERIODICALLY MOVING SHARP-PEAK LANDSCAPE

被引：0

作者：

Neves, Armando G. M. ^{[1
]}

机构：

[1] Univ Fed Minas Gerais, Dept Matemat, BR-30123970 Belo Horizonte, MG, Brazil

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2011年 / 18卷

关键词：

Perron-Frobenius theorem; Gershgorin theorem; error catastrophe; DYNAMIC FITNESS LANDSCAPES;

D O I：

10.1142/S140292511100157X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove some results and detail some calculations published in a previous paper by us on the Eigen model with a periodically moving sharp-peak landscape. The model is concerned with evolution of a virus population in a time-dependent environment mimicking interaction of the viruses with the immune system of a host.

引用

页码：359 / 379

页数：21

共 32 条

[1] Some Rigorous Results on the Eigen Quasispecies Model with a Periodically Moving Sharp-Peak Landscape
Armando G. M. Neves
Journal of Nonlinear Mathematical Physics, 2011, 18 : 359 - 379
[2] Detailed analysis of an Eigen quasispecies model in a periodically moving sharp-peak landscape
Neves, Armando G. M.
PHYSICAL REVIEW E, 2010, 82 (03):
[3] The distribution of the quasispecies for a Moran model on the sharp peak landscape
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[4] Phase Diagram of the Eigen Model under Changing Environments with a Sharp-Peak Fitness Function
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[6] DISTRIBUTION OF THE QUASISPECIES FOR A GALTON-WATSON PROCESS ON THE SHARP PEAK LANDSCAPE
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[7] SOME EIGEN THEORY RESULTS FOR MOVING AVERAGE TIME PROCESSES
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[8] SOME RIGOROUS RESULTS FOR THE ANDERSON MODEL
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[9] Some rigorous results on a stochastic GOY model
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JOURNAL OF STATISTICAL PHYSICS, 2006, 125 (03) : 677 - 716
[10] Some Rigorous Results on a Stochastic GOY Model
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