Geodesic
Oscillation and stability of nonlinear discrete models exhibiting the Allee effect
Mathematica slovaca, Tome 57 (2007) no. 3, pp. 243-258
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 39A10, 39A11, 39A12, 92D25 
@article{MASLO_2007_57_3_a4,
     author = {Elabbasy, Elmetwally M. and Saker, Samir H. and El-Metwally, Hamdy},
     title = {Oscillation and stability of nonlinear discrete models exhibiting the {Allee} effect},
     journal = {Mathematica slovaca},
     pages = {243--258},
     year = {2007},
     volume = {57},
     number = {3},
     mrnumber = {2357822},
     zbl = {1150.39005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_2007_57_3_a4/}
}
TY  - JOUR
AU  - Elabbasy, Elmetwally M.
AU  - Saker, Samir H.
AU  - El-Metwally, Hamdy
TI  - Oscillation and stability of nonlinear discrete models exhibiting the Allee effect
JO  - Mathematica slovaca
PY  - 2007
SP  - 243
EP  - 258
VL  - 57
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/MASLO_2007_57_3_a4/
LA  - en
ID  - MASLO_2007_57_3_a4
ER  - 
%0 Journal Article
%A Elabbasy, Elmetwally M.
%A Saker, Samir H.
%A El-Metwally, Hamdy
%T Oscillation and stability of nonlinear discrete models exhibiting the Allee effect
%J Mathematica slovaca
%D 2007
%P 243-258
%V 57
%N 3
%U http://geodesic.mathdoc.fr/item/MASLO_2007_57_3_a4/
%G en
%F MASLO_2007_57_3_a4
Elabbasy, Elmetwally M.; Saker, Samir H.; El-Metwally, Hamdy. Oscillation and stability of nonlinear discrete models exhibiting the Allee effect. Mathematica slovaca, Tome 57 (2007) no. 3, pp. 243-258. http://geodesic.mathdoc.fr/item/MASLO_2007_57_3_a4/

[1] AGARWAL R. P.: Difference Equations and Inequalities, Theory, Methods and Applications. (2nd ed., revised and expanded) Marcel Dekker, New York, 2000. | MR | Zbl

[2] AGARWAL R. P.-WONG P. J. Y.: Advanced Topics in Difference Equations. Math. Appl. 404, Kluwer Acad. PubL, Dordrecht, 1997. | MR | Zbl

[3] ALLEE W. C.: Animal aggregation. Quart. Rev. Biol. 2 (1927), 367-398.

[4] ALLEE W. C.: Animal Aggregation. A Study in General Sociology. Chicago Universitу Press, Chicago, 1933.

[5] CHEN M.-P.-YU J. S.: Oscillation of delay difference equations with variable coefficients. In: Proceeding of the First International Conference on Difference Equations (S. N. Elaуdi et al., eds), Gordon and Breach, New York, 1994 pp. 105-114. | MR

[6] GOPALSAMY K.-LADAS G.: On the oscillation and asymptotic behavior of $\dot N(t)=N(t)[a+bN(t-\tau)-cN\sp 2(t-\tau)]$. Quart. Appl. Math. 3 (1990), 433-440. | MR | Zbl

[7] ELAYDI S.-KOCIC V.-LI J.: Global stability of nonlinear difference equations. J. Difference Equ. Appl. 2 (1996), 87-96. | MR

[8] ERBE L. H.-ZHANG B. G.: Oscillation of discrete analogues of delay equations. Differential Integral Equations 2 (1989), 300-309. | MR | Zbl

[9] ELABBASY E. M.-SAKER S. H.-SAIF K.: Oscillation of nonlinear delay differential equations with application to models exhibiting the Allee effect. Far East J. Math. Sci. 1 (1999), 603-620. | MR | Zbl

[10] LADAS G.-PHILOS C. H.-SFICAS Y.: Sharp condition for the oscillation of delay difference equations. J. Appl. Math. Simul. 2 (1989), 101-111. | MR

[11] KUBIACZYK I.-SAKER S. H.: Oscillation and global attractivity in a discrete survival red blood cells model. Appl. Math. (To appear). | MR | Zbl

[12] KOCIC V. L.-LADAS G.: Global Behavior of Nonlinear Differentiall Equations of Higher Order. Kluwer Acadеmic Publishers, Dordrecht, 1993. | MR

[13] LIU P.-GOPALSAMY K.: Global stability and chaos in a population modul with piece wise constant arguments. Appl. Math. Comput. 101 (1999), 63-88. | MR

[14] LEVIN S.-MAY R.: A note on difference delay equations. Thеor. Pop. Biol. 9 1976 , 178-187. | MR | Zbl

[15] STAVROULAKIS I. P.: Oscillation of delay difference equations. Comput. Math. Appl. 29 (1995), 83-88.

[16] ZHANG G.-ZHOU Y.: Comparison theorems and oscillation criteria for differential equations. J. Math. Anal. Appl. 247 (2000), 397-409. | MR