## Abstract A delayed periodic Lotka–Volterra type population model with __m__ predators and __n__ preys is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and by constructing suitable Lyapunov functionals, sufficient conditions are derived for the exist
Periodic solution for athree-species Lotka-Volterra food-chain model with time delays
✍ Scribed by Rui Xu; M.A.J. Chaplain; F.A. Davidson
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 720 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0895-7177
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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 -β t 0 -τ K s y t + s ds is established, where r i t a i t i
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