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Evolutionary dynamics of two communities under environmental feedback: Special Issue on Control and Network Theory for Biological Systems

Kawano, Y., Gong, L., Anderson, B. D. O. & Cao, M., Apr-2019, In : IEEE Control Systems Letters. 3, 2, p. 254-259

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In this paper, we study the evolutionary dynamics of two different types of communities in an evolving environment. We model the dynamics using an evolutionary differential game consisting of two sub-games: 1) a game between two different communities and 2) a game between communities and the
environment. Our interest is to clarify when the two communities and environment can coexist dynamically under the feedback from the changing environment. Mathematically speaking, we show that for specific game payoffs, the corresponding three dimensional replicator dynamics induced by the evolutionary
game have an infinite number of periodic orbits.
Original languageEnglish
Pages (from-to)254-259
JournalIEEE Control Systems Letters
Volume3
Issue number2
Early online date22-Aug-2018
Publication statusPublished - Apr-2019

    Keywords

  • Biological systems, game theory

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