Persistence, attractivity, and delay in facultative mutualism

Xue zhong He*, K. Gopalsamy

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

94 Citations (Scopus)


Relations between persistence and ultimate boundedness of the solutions of the Lotka-Volterra systemdx(t)dt=x(t)[r1-a11x(t-τ)+a22y(t-τ)]dy(t)dt=y(t)[r2+a21x(t-τ)-a22y(t-τ)]modelling "facultative mutualism" with delayed responses are established and sufficient conditions are obtained for the global attractivity of the positive equilibrium of the delay system.

Original languageEnglish
Pages (from-to)154-173
Number of pages20
JournalJournal of Mathematical Analysis and Applications
Issue number1
Publication statusPublished - 1 Nov 1997
Externally publishedYes


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