Publication
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. 254-259Research output: Contribution to journal › Article › Academic › peer-review
Documents
- Evolutionary dynamics of two communities under environmental feedback
Final author's version, 246 KB, PDF document
- Evolutionary Dynamics of Two Communities Under Environmental Feedback
Final publisher's version, 455 KB, PDF document
DOI
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.
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 language | English |
|---|---|
| Pages (from-to) | 254-259 |
| Journal | IEEE Control Systems Letters |
| Volume | 3 |
| Issue number | 2 |
| Early online date | 22-Aug-2018 |
| Publication status | Published - Apr-2019 |
- Biological systems, game theory
Keywords
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ID: 64111850