Some New Results of Nonautonomous Lotka–Volterra Competitive Systems with Delays☆☆☆

By Zhidong Teng, Yuanhong Yu. 2000

77 citations recorded by the source corpus.

Abstract In this paper, we improve and generalize the results of Montes de Oca and Zeeman [ J. Math. Anal. Appl. 192 (1995), 360–370; Proc. Amer. Math. Soc. 124 (1996), 3677–3687] to general N -species nonautonomous Lotka–Volterra type competitive systems with finite or infinite delays. We establish a series of criteria under which a part of the n species of the systems is driven to extinction while the remaining part of the n species is persistent or uniformly persistent, or coexists globally asymptotically stable.

Subfields: Genetics, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/4b2fa8ed89455451e58f9889a010d992e4973c87

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Genetics

In Public Health, Environmental and Occupational Health

Citations in the corpus

Stochastic Population Systems (2009, background): “2) There is an extensive literature concerned with the dynamics of this model and we here only mention Ahmad and Rao [1], Bereketoglu and Gyori [4], Freedman and Ruan [9], He and Gopalsamy [11], Kuang and Smith [16], Teng and Yu [25] among many others.”
Stochastic differential delay equations of population dynamics (2005, background): “There is an extensive literature concerned with the dynamics of this delay model a here only mention Ahmad and Rao [1], Bereketoglu and Gyori [2], Freedman and Rua He and Gopalsamy [9], Kuang and Smith [12], Teng and Yu [20] among many o In particular, the books by Gopalsamy [8], Kolmanovskii and…”
Stochastic delay Lotka-Volterra model (2004, background): “, [3–5,7,13]) and lots of research are still going on.”