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Global stability for infinite-delay, dispersive Lotka-Volterra systems: Weakly interacting populations in nearly identical patches (1991)

Kuang, Y. ; Smith, H. L. ; Martin, R. H.

Springer

Journal of dynamics and differential equations 3 (1991), S. 339-360

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ISSN: 1572-9222

Keywords: Global Stability ; diffusive-delay Lotka-Volterra system ; discrete patches ; Razumikhin function ; infinite delay ; Primary 34K30 ; Secondary 35R10, 34K15, 92A15

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract A Lotka-Volterra-like model ofm interacting species which can disperse amongn discrete habitats and where species interaction terms involve general unbounded delays is shown to possess a globally stable equilibrium when the undelayed intraspecific competition term dominates interspecific interactions as well as the delayed intraspecific competition effect and when then habitats are nearly identical.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01049736

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