Monotone dynamical systems: Reflections on new advances & applications

Hal Smith

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


The article contains the author's reections on recent developments in a very select portion of the now vast subject of monotone dynamical systems. Continuous time systems generated by cooperative systems of ordinary differential equations, delay differential equations, parabolic partial differential equations, and control systems are the main focus and results are included which the author feels have had a major impact in the applications. These include the theory of competition between two species or two teams and the theory of monotone control systems.

Original languageEnglish (US)
Pages (from-to)485-504
Number of pages20
JournalDiscrete and Continuous Dynamical Systems- Series A
Issue number1
StatePublished - Jan 2017


  • Competition between two teams
  • Monotone control systems
  • Monotone dynamical systems, cooperative systems
  • Quasi-convergence
  • Static input-state characteristic

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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