Journal of Nonlinear Mathematical Physics

Volume 18, Issue Supplement 2, December 2011, Pages 359 - 379

Some Rigorous Results on the Eigen Quasispecies Model with a Periodically Moving Sharp-Peak Landscape

Authors
Armando G. M. Neves
Departmento de Matemática, Universidade Federal de Minas Gerais, Av. Antônio Carlos 6627, 30123-970 Belo Horizonte - MG, Brazil,aneves@mat.ufmg.br
Received 30 September 2010, Accepted 5 November 2010, Available Online 7 January 2021.
DOI
10.1142/S140292511100157XHow to use a DOI?
Keywords
Perron–Frobenius theorem; Gershgorin theorem; error catastrophe
Abstract

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.

Copyright
© 2011 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
18 - Supplement 2
Pages
359 - 379
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S140292511100157XHow to use a DOI?
Copyright
© 2011 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Armando G. M. Neves
PY  - 2021
DA  - 2021/01/07
TI  - Some Rigorous Results on the Eigen Quasispecies Model with a Periodically Moving Sharp-Peak Landscape
JO  - Journal of Nonlinear Mathematical Physics
SP  - 359
EP  - 379
VL  - 18
IS  - Supplement 2
SN  - 1776-0852
UR  - https://doi.org/10.1142/S140292511100157X
DO  - 10.1142/S140292511100157X
ID  - Neves2021
ER  -