The global stability of coexisting equilibria for three models of mutualism.

We analyze the dynamics of three models of mutualism, establishing the global stability of coexisting equilibria by means of Lyapunov's second method. This further establishes the usefulness of certain Lyapunov functionals of an abstract nature introduced in an earlier paper. As a consequence, it is seen that the use of higher order self-limiting terms cures the shortcomings of Lotka-Volterra mutualisms, preventing unbounded growth and promoting global stability.

• Publication year

  2015

• Venue

  Mathematical biosciences and engineering : MBE

• Publication date

  2015-10-01

• Fields of study

  Biology, Mathematics, Computer Science, Medicine

• Identifiers
  DOI 10.3934/mbe.2016.13.101PMID 26776263
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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