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Original Articles

A three-stage discrete-time population model: continuous versus seasonal reproduction

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Pages 291-304 | Received 30 Mar 2007, Published online: 12 Nov 2007

References

  • Costantino , R. F. , Cushing , J. M. , Dennis , B. , Desharnai , A. and Henson , S. M. 1998 . Resonant population cycles in temporally fluctuating habitats . Bulletin of Mathematical Biology , 60 : 247 – 275 .
  • Cushing , J. M. and Henson , S. M. 2001 . Global dynamics of some periodically forced monotone difference equations . Journal of Difference Equations and Applications , 7 : 850 – 872 .
  • Cushing , J. M. and Henson , S. M. 2002 . A periodically forced Beverton–Holt equation . Journal of Difference Equations and Applications , 8 : 1119 – 1120 .
  • Cushing , J. M. 2006 . A juvenile–adult model with periodic vital rates . Journal of Mathematical Biology , 53 : 520 – 539 .
  • Elaydi , S. and Sacker , R. J. 2005 . Nonautonomous Beverton–Holt equations and the Cushing–Henson conjectures . Journal of Difference Equations and Applications , 11 : 337 – 346 .
  • Elaydi , S. and Sacker , R. J. 2005 . Global stability of periodic orbits of non-autonomous difference equations and population biology . Journal of Difference Equations , 208 : 258 – 273 .
  • Franke , J. E. and Yakubu , A. 2005 . Population models with periodic recruitment functions and survival rates . Journal of Difference Equations and Applications , 11 : 1169 – 1184 .
  • Henson , S. M. and Cushing , J. M. 1997 . The effects of periodic habitat fluctuations on a nonlinear insect population model . Journal of Mathematical Biology , 36 : 201 – 226 .
  • Henson , S. M. , Costantino , R. F. , Cushing , J. M. , Dennis , B. and Desharnais , R. 1999 . Multiple attractors, saddles, and population dynamics in periodic habitats . Bulletin of Mathematical Biology , 61 : 1121 – 1149 .
  • Kocic , V. L. 2005 . A note on the nonautonomous Beverton–Holt model . Journal of Difference Equations and Applications , 11 : 415 – 422 .
  • Jillson , D. 1990 . Insect populations respond to fluctuating environments . Nature , 288 : 699 – 700 .
  • Pham , L. , Boudreaux , S. , Karhbet , S. , Price , B. , Ackleh , A. S. , Carter , J. and Pal , N. Population estimates of Hyla cinerea (Schneider) in an urban environment . Southeastern Naturalist , 6 203 – 216 .
  • Ackleh , A. S. and Jang , S. 2007 . A discrete two-stage population model: continuous versus seasonal reproduction . Journal of Difference Equations and Applications , 13 : 261 – 274 .
  • Grove , A. and Ladas , G. 2005 . Periodicities in Nonlinear Difference Equations , Boca Raton : CRC Press .
  • Allen , L. J.S. 2007 . Introduction to Mathematical Biology , Englewood Cliffs, NJ : Prentice Hall .
  • Caswell , H. 2001 . Matrix Population Models: Construction, Analysis, and Interpretation , Second Edition , Sunderland, MA : Sinauer .

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