Periodic solutions of a three-species periodic reaction-diffusion system

Tiantian Qiao; Jiebao Sun; Boying Wu

Annales Polonici Mathematici (2011)

  • Volume: 100, Issue: 2, page 179-191
  • ISSN: 0066-2216

Abstract

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We study a periodic reaction-diffusion system of a competitive model with Dirichlet boundary conditions. By the method of upper and lower solutions and an argument similar to that of Ahmad and Lazer, we establish the existence of periodic solutions and also investigate the stability and global attractivity of positive periodic solutions under certain conditions.

How to cite

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Tiantian Qiao, Jiebao Sun, and Boying Wu. "Periodic solutions of a three-species periodic reaction-diffusion system." Annales Polonici Mathematici 100.2 (2011): 179-191. <http://eudml.org/doc/280366>.

@article{TiantianQiao2011,
abstract = {We study a periodic reaction-diffusion system of a competitive model with Dirichlet boundary conditions. By the method of upper and lower solutions and an argument similar to that of Ahmad and Lazer, we establish the existence of periodic solutions and also investigate the stability and global attractivity of positive periodic solutions under certain conditions.},
author = {Tiantian Qiao, Jiebao Sun, Boying Wu},
journal = {Annales Polonici Mathematici},
language = {eng},
number = {2},
pages = {179-191},
title = {Periodic solutions of a three-species periodic reaction-diffusion system},
url = {http://eudml.org/doc/280366},
volume = {100},
year = {2011},
}

TY - JOUR
AU - Tiantian Qiao
AU - Jiebao Sun
AU - Boying Wu
TI - Periodic solutions of a three-species periodic reaction-diffusion system
JO - Annales Polonici Mathematici
PY - 2011
VL - 100
IS - 2
SP - 179
EP - 191
AB - We study a periodic reaction-diffusion system of a competitive model with Dirichlet boundary conditions. By the method of upper and lower solutions and an argument similar to that of Ahmad and Lazer, we establish the existence of periodic solutions and also investigate the stability and global attractivity of positive periodic solutions under certain conditions.
LA - eng
UR - http://eudml.org/doc/280366
ER -

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