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Special Issue in Memory of Abdul-Aziz Yakubu

Robust steady states in ecosystems with symmetries

, &
Article: 2259223 | Received 23 Jun 2023, Accepted 05 Sep 2023, Published online: 20 Sep 2023

References

  • N. Akhavan and J.A. Yorke, Extinction of multiple populations and a team of die-out Lyapunov functions, SIAM J. Appl. Dyn. Syst. 22(3) (2023), pp. 2382–2407.
  • L. Blackhall and D.J. Hill, On the structural controllability of networks of linear systems, IFAC Proc. Vol. 43(19) (2010), pp. 245–250.
  • J.M. Dion, C. Commault, and J. Van der Woude, Generic properties and control of linear structured systems: A survey, Automatica 39(7) (2003), pp. 1125–1144.
  • T. Gross, L. Rudolf, S.A. Levin, and U. Dieckmann, Generalized models reveal stabilizing factors in food webs, Science 325(5941) (2009), pp. 747–750.
  • G. Hardin, The competitive exclusion principle: An idea that took a century to be born has implications in ecology, economics, and genetics, Science 131(3409) (1960), pp. 1292–1297.
  • B.R. Hunt, T. Sauer, and J.A. Yorke, Prevalence: A translation-invariant almost every on infinite-dimensional spaces, Bullet. Amer. Math. Soc. 27(2) (1992), pp. 217–238.
  • S. Jahedi, T. Sauer, and J.A. Yorke, Robustness of solutions of almost every system of equations, SIAM J. Appl. Math. 82(5) (2022), pp. 1791–1807.
  • S. Jahedi, T. Sauer, and J.A. Yorke, Structured systems of nonlinear equations, SIAM J. Appl. Math.83(4) (2023), pp. 1696–1716.
  • C.T. Lin, Structural controllability, IEEE Trans. Automat. Contr. 19(3) (1974), pp. 201–208.
  • F. Liu and A.S. Morse, A graphical characterization of structurally controllable linear systems with dependent parameters, IEEE Trans. Automat. Contr. 64(11) (2019), pp. 4484–4495.
  • Y.Y. Liu, J.J. Slotine, and A.L. Barabási, Controllability of complex networks, Nature 473(7346) (2011), pp. 167–173.
  • Y.Y. Liu, J.J. Slotine, and A.L. Barabási, Observability of complex systems, Proc. Natl. Acad. Sci 110(7) (2013), pp. 2460–2465.
  • R. Shields and J. Pearson, Structural controllability of multiinput linear systems, IEEE Trans. Automat. Contr. 21(2) (1976), pp. 203–212.