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Evolutionary Adaptation of the Permanent Replicator System

In: Trends in Biomathematics: Modeling Cells, Flows, Epidemics, and the Environment

Author

Listed:
  • A. S. Bratus

    (Russian University of Transport, Department of Applied Mathematics 1)

  • S. Drozhzhin

    (Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics)

  • T. Yakushkina

    (National Research University Higher School of Economics, School of Business Informatics)

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.

Suggested Citation

  • A. S. Bratus & S. Drozhzhin & T. Yakushkina, 2020. "Evolutionary Adaptation of the Permanent Replicator System," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Modeling Cells, Flows, Epidemics, and the Environment, pages 1-7, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-46306-9_1
    DOI: 10.1007/978-3-030-46306-9_1
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