References
- Ackleh , A. S. and Chiquet , R. A. Competitive exclusion in a discrete juvenile–adult model with continuous and seasonal reproduction . preprint (2010), to appear in J. Difference Equ. Appl. doi:10.1080/10236190903460420
- Ackleh , A. S. , Dib , Y. M. and Jang , S. R.J. 2005 . “ A discrete-time Beverton-Holt competition model ” . In Difference Equations and Discrete Dynamical Systems , Edited by: Allen , L. J.S. , Aulbach , B. , Elaydi , S. and Sacker , R. 1 – 9 . London : World Scientific .
- Ackleh , A. S. , Dib , Y. M. and Jang , S. R.J. 2007 . Competitive exclusion and coexistence in a nonlinear refuge-mediated selection model . Discrete Contin. Dyn. Syst. Ser. B , 7 ( 4 ) : 683 – 698 .
- AlSharawi , Z. and Rhouma , M. 2009 . Coexistence and extinction in a competitive exclusion Leslie/Gower model with harvesting and stocking . J. Difference Equ. Appl. , 15 ( 11 ) : 1031 – 1053 .
- Cushing , J. M. , Henson , S. M. and Roeger , L.-I. 2007 . Coexistence of competing juvenile–adult structured populations . J. Biol. Dyn. , 1 ( 2 ) : 201 – 231 .
- Cushing , J. M. and LeVarge , S. 2005 . “ Some discrete competition models and the principle of competitive exclusion ” . In Difference Equations and Discrete Dynamical Systems , Edited by: Allen , L. J.S. , Aulbach , B. , Elaydi , S. and Sacker , R. 283 – 301 . London : World Scientific .
- Cushing , J. M. , Levarge , S. , Chitnis , N. and Henson , S. M. 2004 . Some discrete competition models and the competitive exclusion pronciple . J. Difference Equ. Appl. , 10 ( 13–15 ) : 1139 – 1151 .
- Elaydi , S. and Sacker , R. J. 2005 . Global stability of periodic orbits of nonautonomous difference equations . J. Differential Equations , 208 ( 11 ) : 258 – 273 .
- Hirsch , M. W. and Smith , H. 2005 . Monotone maps: A review . J. Difference Equ. Appl. , 11 ( 4–5 ) : 379 – 398 .
- Leslie , P. H. and Gower , J. C. 1958 . The properties of a stochastic model for two competing species . Biometrika , 45 : 316 – 330 .
- Liu , P. and Elaydi , S. N. 2001 . Discrete competitive and cooperative models of Lotka-Volterra type . J. Comput. Anal. Appl. , 3 ( 1 ) : 53 – 73 .
- Sacker , R. J. 2010 . Semigroups of maps and periodic difference equations . J. Difference Equ. Appl. , 16 ( 1 ) : 1 – 13 .
- Sacker , R. J. and Sell , G. R. 1977 . Lifting properties in skew-product flows with applications to differential equations . Mem. Amer. Math. Soc. , 11 ( 190 )
- Sacker , R. J. and von Bremen , H. F. 2007 . Dynamic reduction with applications to mathematical biology and other areas . J. Biol. Dyn. , 1 ( 4 ) : 437 – 453 .