Geodesic
Existence and uniqueness of positive periodic solutions of delayed Nicholson's blowflies models
Fei Long1 ; Bingwen Liu2
1 Department of Mathematics and Computer Science Hunan City University Yiyang, Hunan 413000, P.R. China
2 College of Mathematics, Physics and Information Engineering Jiaxing University Jiaxing, Zhejiang 314001, P.R. China
Annales Polonici Mathematici, Tome 103 (2012) no. 3, pp. 217-228

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

This paper is concerned with a class of Nicholson's blowflies models with multiple time-varying delays. By applying the coincidence degree, some criteria are established for the existence and uniqueness of positive periodic solutions of the model. Moreover, a totally new approach to proving the uniqueness of positive periodic solutions is proposed. In particular, an example is employed to illustrate the main results.
DOI : 10.4064/ap103-3-1
Keywords: paper concerned class nicholsons blowflies models multiple time varying delays applying coincidence degree criteria established existence uniqueness positive periodic solutions model moreover totally approach proving uniqueness positive periodic solutions proposed particular example employed illustrate main results

Fei Long 1 ; Bingwen Liu 2

1 Department of Mathematics and Computer Science Hunan City University Yiyang, Hunan 413000, P.R. China
2 College of Mathematics, Physics and Information Engineering Jiaxing University Jiaxing, Zhejiang 314001, P.R. China 
@article{10_4064_ap103_3_1,
     author = {Fei Long and Bingwen Liu},
     title = {Existence and uniqueness of positive periodic solutions
 of delayed {Nicholson's} blowflies models},
     journal = {Annales Polonici Mathematici},
     pages = {217--228},
     publisher = {mathdoc},
     volume = {103},
     number = {3},
     year = {2012},
     doi = {10.4064/ap103-3-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap103-3-1/}
}
TY  - JOUR
AU  - Fei Long
AU  - Bingwen Liu
TI  - Existence and uniqueness of positive periodic solutions
 of delayed Nicholson's blowflies models
JO  - Annales Polonici Mathematici
PY  - 2012
SP  - 217
EP  - 228
VL  - 103
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap103-3-1/
DO  - 10.4064/ap103-3-1
LA  - en
ID  - 10_4064_ap103_3_1
ER  - 
%0 Journal Article
%A Fei Long
%A Bingwen Liu
%T Existence and uniqueness of positive periodic solutions
 of delayed Nicholson's blowflies models
%J Annales Polonici Mathematici
%D 2012
%P 217-228
%V 103
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap103-3-1/
%R 10.4064/ap103-3-1
%G en
%F 10_4064_ap103_3_1
Fei Long; Bingwen Liu. Existence and uniqueness of positive periodic solutions
 of delayed Nicholson's blowflies models. Annales Polonici Mathematici, Tome 103 (2012) no. 3, pp. 217-228. doi: 10.4064/ap103-3-1

Cité par Sources :