Periodic bifurcation solution for a delay competition diffusion system
β Scribed by Li Zhou; Yanbin Tang; S. Hussein
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 304 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
A facultative mutualism system with a discrete delay is considered. By analyzing the associated characteristic equation, its linear stability is investigated and Hopf bifurcations are demonstrated. Some explicit formulae are obtained by applying the normal form theory and center manifold reduction.
By using the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for a two-species nonautonomous competition Lotka-Volterra patch system with time delay, y t = y t r 3 t -a 3 t x 1 t -b 3 t y t -Ξ² t 0 -Ο K s y t + s ds is established, where r i t a i t i