Geodesic
Periodic solutions of a three-species periodic reaction-diffusion system
Tiantian Qiao1 ; Jiebao Sun2 ; Boying Wu2
1Department of Mathematics Harbin Institute of Technology Harbin 150001, China and School of Mathematics and Computational Sciences China University of Petroleum Dongying 257061, China
2Department of Mathematics Harbin Institute of Technology Harbin 150001, China
Annales Polonici Mathematici, Tome 100 (2011) no. 2, pp. 179-191
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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.
DOI : 10.4064/ap100-2-7
Keywords: study periodic reaction diffusion system competitive model dirichlet boundary conditions method upper lower solutions argument similar ahmad lazer establish existence periodic solutions investigate stability global attractivity positive periodic solutions under certain conditions

Tiantian Qiao  1   ; Jiebao Sun  2   ; Boying Wu  2

1 Department of Mathematics Harbin Institute of Technology Harbin 150001, China and School of Mathematics and Computational Sciences China University of Petroleum Dongying 257061, China
2 Department of Mathematics Harbin Institute of Technology Harbin 150001, China 
@article{10_4064_ap100_2_7,
     author = {Tiantian Qiao and Jiebao Sun and Boying Wu},
     title = {Periodic solutions of a three-species periodic reaction-diffusion system},
     journal = {Annales Polonici Mathematici},
     pages = {179--191},
     year = {2011},
     volume = {100},
     number = {2},
     doi = {10.4064/ap100-2-7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap100-2-7/}
}
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
SP  - 179
EP  - 191
VL  - 100
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap100-2-7/
DO  - 10.4064/ap100-2-7
LA  - en
ID  - 10_4064_ap100_2_7
ER  - 
%0 Journal Article
%A Tiantian Qiao
%A Jiebao Sun
%A Boying Wu
%T Periodic solutions of a three-species periodic reaction-diffusion system
%J Annales Polonici Mathematici
%D 2011
%P 179-191
%V 100
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/ap100-2-7/
%R 10.4064/ap100-2-7
%G en
%F 10_4064_ap100_2_7
Tiantian Qiao; Jiebao Sun; Boying Wu. Periodic solutions of a three-species periodic reaction-diffusion system. Annales Polonici Mathematici, Tome 100 (2011) no. 2, pp. 179-191. doi: 10.4064/ap100-2-7

Cité par Sources :