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Evolutionary Adaptation of the Permanent Replicator System

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Trends in Biomathematics: Modeling Cells, Flows, Epidemics, and the Environment (BIOMAT 2019)

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Abstract

In this paper, we examine the process of fitness landscape evolution of permanent replicator systems. The central hypothesis of this study is that the specific time of the evolutionary adaptation of the system parameters is much slower than the time of internal evolutionary dynamics. This assumption leads to the fact that evolutionary changes of the system parameters happen in a steady-state of the corresponding dynamical system. To solve this problem, we propose an algorithm such that it is reduced to a linear programming problem at each step. Moreover, we assume that the resources of the system are limited: we formalize it as a restriction on the fitness matrix coefficients.

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Acknowledgements

This work was supported by grant 19-11-00009 of the Russian Science Foundation.

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Authors and Affiliations

  1. Department of Applied Mathematics 1, Russian University of Transport, Moscow, Russia

    A. S. Bratus

  2. Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, Russia

    S. Drozhzhin

  3. School of Business Informatics, National Research University Higher School of Economics, Moscow, Russia

    T. Yakushkina

Authors
  1. A. S. Bratus
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  2. S. Drozhzhin
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  3. T. Yakushkina
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Corresponding author

Correspondence to A. S. Bratus .

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Editors and Affiliations

  1. President, BIOMAT Consortium – International Institute for Interdisciplinary Sciences, Rio de Janeiro, Brazil

    Rubem P. Mondaini

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Bratus, A.S., Drozhzhin, S., Yakushkina, T. (2020). Evolutionary Adaptation of the Permanent Replicator System. In: Mondaini, R.P. (eds) Trends in Biomathematics: Modeling Cells, Flows, Epidemics, and the Environment. BIOMAT 2019. Springer, Cham. https://doi.org/10.1007/978-3-030-46306-9_1

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