M. Ghazaryan, T. S. Yakushkina, D. B. Saakyan, “Exact evolutionary dynamics on multi dimensional fitness landscape”, Computer Research and Modeling, 2015, Volume 7, Issue 6,Pages <nobr>1269–1277</nobr>

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Computer Research and Modeling, 2015 Volume 7, Issue 6, Pages 1269–1277 (Mi crm292)

ANALYSIS AND MODELING OF COMPLEX LIVING SYSTEMS

Exact evolutionary dynamics on multi dimensional fitness landscape

M. Ghazaryan^ab, T. S. Yakushkina^c, D. B. Saakyan^de

^a Yerevan State University, Alek Manougian 1, Yerevan 375036, Armenia
^b State Engineering University of Armenia, 105 Teryan St., Yerevan, 375036, Armenia
^c Faculty of Business Informatics, National Research University Higher School of Economics, 20 Myasnickaya st., Moscow, 101000, Russia
^d A. I. Alikhanyan National Science Laboratory (Yerevan Physics Institute) Foundation, 2 Alikhanian Brothers St., Yerevan, 375036, Armenia
^e Institute of Physics, Academia Sinica, 128 Academia Road, Nankang, Taipei 11529, Taiwan

Abstract: Crow–Kimura model is one of the famous models of population genetics. Last decade models with low-dimensional fitness landscape have been investigated. We consider the Crow–Kimura model of evolutionary dynamics on multi-dimensional fitness landscape with a single peak. We deduce exact solution for the dynamics, confirmed well by the numerics.

Keywords: model Crow–Kimura, evolution model, mutidimensional fitness landscape.

UDC: 51-76

Received: 20.05.2015
Revised: 11.11.2015

DOI: 10.20537/2076-7633-2015-7-6-1269-1277

© Steklov Math. Inst. of RAS, 2024