Evolutionary dynamics of two communities under environmental feedback

Yu Kawano; Lulu Gong; Brian D.O. Anderson; Ming Cao

doi:10.1109/LCSYS.2018.2866775

Evolutionary dynamics of two communities under environmental feedback

Yu Kawano^*, Lulu Gong, Brian D.O. Anderson, Ming Cao

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

In this letter, 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 3-D replicator dynamics induced by the evolutionary game have an infinite number of periodic orbits.

Original language	English
Article number	8443998
Pages (from-to)	254-259
Number of pages	6
Journal	IEEE Control Systems Letters
Volume	3
Issue number	2
DOIs	https://doi.org/10.1109/LCSYS.2018.2866775
Publication status	Published - Apr 2019

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10.1109/LCSYS.2018.2866775

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abstract = "In this letter, 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 3-D replicator dynamics induced by the evolutionary game have an infinite number of periodic orbits.",

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Evolutionary dynamics of two communities under environmental feedback

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