About: Dynamic behaviours of a delay differential equation model of plankton allelopathy     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

AttributesValues
rdf:type
Description
  • In this paper, we consider a modified delay differential equation model of the growth of n-species of plankton having competitive and allelopathic effects on each other. We first obtain the sufficient conditions which guarantee the performance of the system. As a corollary, for periodic case, we obtain a set of delay-dependent condition which ensures the existence of at least one positive periodic solution of the system. After that, by means of a suitable Lyapunov functional, sufficient conditions are derived for the global attractivity of the system. For the two-dimensional case, under some suitable assumptions, we prove that one of the components will be driven to extinction while the other will stabilize at a certain solution of a logistic equation. Examples show the feasibility of the main results.
  • In this paper, we consider a modified delay differential equation model of the growth of n-species of plankton having competitive and allelopathic effects on each other. We first obtain the sufficient conditions which guarantee the performance of the system. As a corollary, for periodic case, we obtain a set of delay-dependent condition which ensures the existence of at least one positive periodic solution of the system. After that, by means of a suitable Lyapunov functional, sufficient conditions are derived for the global attractivity of the system. For the two-dimensional case, under some suitable assumptions, we prove that one of the components will be driven to extinction while the other will stabilize at a certain solution of a logistic equation. Examples show the feasibility of the main results. (en)
Title
  • Dynamic behaviours of a delay differential equation model of plankton allelopathy
  • Dynamic behaviours of a delay differential equation model of plankton allelopathy (en)
skos:prefLabel
  • Dynamic behaviours of a delay differential equation model of plankton allelopathy
  • Dynamic behaviours of a delay differential equation model of plankton allelopathy (en)
skos:notation
  • RIV/61989592:15410/07:33119501!RIV12-MSM-15410___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • I, S
http://linked.open...iv/cisloPeriodika
  • 206
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 418374
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15410/07:33119501
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • extinction; permanence; global attractivity; Lyapunov functional; toxicology; Competition (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [5B9194968963]
http://linked.open...i/riv/nazevZdroje
  • Journal of computational and applied mathematics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 2007
http://linked.open...iv/tvurceVysledku
  • Laitochová, Jitka
  • Chen, Fengde
  • Chen, Xiaoxing
  • Li, Zhong
issn
  • 0377-0427
number of pages
http://localhost/t...ganizacniJednotka
  • 15410
is http://linked.open...avai/riv/vysledek of
Faceted Search & Find service v1.16.118 as of Jun 21 2024


Alternative Linked Data Documents: ODE     Content Formats:   [cxml] [csv]     RDF   [text] [turtle] [ld+json] [rdf+json] [rdf+xml]     ODATA   [atom+xml] [odata+json]     Microdata   [microdata+json] [html]    About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data] Valid XHTML + RDFa
OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 58 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software