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Existence and Global Attractivity of Periodic Solutions in $n$-Species Food-Chain System with Time Delays
Time delay Periodic solution Global attractivity
2008/7/1
A delayed periodic n-species simple food-chain system with Holling type-II functional response is investigated. By means of Gaines and Mawhin's continuation theorem of coincidence degree theory and by...
Global attractivity in a periodic delayed competitive system
Globally asymptotic stability positive periodic solution
2010/9/15
The purpose of this paper is to investigate a non-autonomous differential competitive system with periodic delay. Sufficient conditions for the existence and globally attractivity of positive periodic...
Consider the discrete delay logistic model where α∈(1,∞), β(0,∞), and k∈ {0,1,2,…}. We obtain new sufficient conditions for the positive equilibrium (α-1)/β of (1) to be a global attractor.
In this paper, the asymptotic behavior of three types ofpopulation models with delays and diffusion is studied. The firstrepresents one species growth in the patch ${\it\Omega}$ andperiodic environmen...