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The logistic equation with a diffusionally coupled delay

โœ Scribed by K. Gopalsamy; B.D. Aggarwala

Publisher
Springer
Year
1981
Tongue
English
Weight
899 KB
Volume
43
Category
Article
ISSN
1522-9602

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โœฆ Synopsis

The asymptotic behaviour of a logistic equation with diffusion on a bounded region and a diffusionally coupled delay is investigated. An equivelent parabolic system is derived for certain tvnes of delays. Using a Lyapunov functional, sufftcient conditions for the global asymptotic stability of the constant steady state are obtained. When the global stability is lost, using Hopfs bifurcation theory, existence of travelling waves is shown for ring-like and periodic one dimensional habitats.

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