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

Journal of Biological Dynamics

Volumn 1, Issue 4, 2007, Pages 291-304

  Ackleh, Azmy S ^a   Dib, Youssef M ^a   Jang, Sophia R J ^a  

^a UNIVERSITY OF LOUISIANA AT LAFAYETTE   (United States)

Author keywords

Continuous breeding; Global stability; Seasonal breeding; Three stage discrete models

Indexed keywords

ANIMAL; ARTICLE; BIOLOGICAL MODEL; BREEDING; COMPARATIVE STUDY; PHYSIOLOGY; POPULATION DYNAMICS; REPRODUCTION; SEASON; TIME;

ANIMALS; BREEDING; MODELS, BIOLOGICAL; POPULATION DYNAMICS; REPRODUCTION; SEASONS; TIME FACTORS;

EID: 70350174835     PISSN: 17513758     EISSN: 17513766     Source Type: Journal    
DOI: 10.1080/17513750701605440     Document Type: Article

References (16)

1. 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.
2. 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.
3. Cushing, J. M., and Henson, S. M., 2002. A periodically forced Beverton–Holt equation. Journal of Difference Equations and Applications, 8:1119–1120.
4. Cushing, J. M., 2006. A juvenile–adult model with periodic vital rates. Journal of Mathematical Biology, 53:520–539.
5. 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.
6. 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.
7. 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.
8. 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.
9. 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.
10. Kocic, V. L., 2005. A note on the nonautonomous Beverton–Holt model. Journal of Difference Equations and Applications, 11:415–422.
11. Jillson, D., 1990. Insect populations respond to fluctuating environments. Nature, 288:699–700.
12. 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, 6203–216.
13. 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.
14. Grove, A., and Ladas, G., 2005. Periodicities in Nonlinear Difference Equations, Boca Raton:CRC Press.
15. Allen, L. J.S., 2007. Introduction to Mathematical Biology, Englewood Cliffs, NJ:Prentice Hall.
16. Caswell, H., 2001. Matrix Population Models:Construction, Analysis, and Interpretation, Second Edition, Sunderland, MA:Sinauer.