Consequences of Allee Effects on Stability Analysis of the Population Model Xt+1=lXtf(Xt-3)

Volume: 41 Number: 5 May 1, 2012
  • H. Merdan
  • E. Karao?lu
EN TR

Consequences of Allee Effects on Stability Analysis of the Population Model Xt+1=lXtf(Xt-3)

Abstract

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Keywords

References

  1. Allee, W. C. Animal Aggretions: A Study in General Sociology (University of Chicago Press, Chicago, 1931).
  2. Allen, L. J. S. An Introduction to Mathematical Biology (Pearson, New Jersey, 2007).
  3. Courchamp, F., Berec L. and Gascoigne, J. Allee Effects in Ecology and Conservation (Oxford University Press, New York, 2008).
  4. C¸ elik, C., Merdan, H., Duman O. and Akın, ¨O. Allee effects on population dynamics with delay, Chaos, Solitons & Fractals 37, 65–74, 2008.
  5. Cunningham, K., Kulenovi´c, M. R. S., Ladas, G. and Valicenti, S. V. On the recursive se- quences xn+1= (α + βxn)/(Bxn+ Cxn−1), Nonlinear Anal. 47, 4603–4614, 2001.
  6. Duman, O. and Merdan, H. Stability analysis of continuous population model involving predation and Allee effect, Chaos, Solitons & Fractals 41, 1218–1222, 2009.
  7. Elaydi, S. N. An Introduction to Difference Equations (Springer, New York, 2006).
  8. Fowler, M. S. and Ruxton, G. D. Population dynamic consequences of Allee effects, J Theor Biol 215, 39–46, 2002.

Details

Primary Language

Turkish

Subjects

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Journal Section

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Authors

H. Merdan This is me

E. Karao?lu This is me

Publication Date

May 1, 2012

Submission Date

May 11, 2014

Acceptance Date

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Published in Issue

Year 2012 Volume: 41 Number: 5

APA
Merdan, H., & Karao?lu, E. (2012). Consequences of Allee Effects on Stability Analysis of the Population Model Xt+1=lXtf(Xt-3). Hacettepe Journal of Mathematics and Statistics, 41(5), 751-765. https://izlik.org/JA68MM63EC
AMA
1.Merdan H, Karao?lu E. Consequences of Allee Effects on Stability Analysis of the Population Model Xt+1=lXtf(Xt-3). Hacettepe Journal of Mathematics and Statistics. 2012;41(5):751-765. https://izlik.org/JA68MM63EC
Chicago
Merdan, H., and E. Karao?lu. 2012. “Consequences of Allee Effects on Stability Analysis of the Population Model Xt+1=lXtf(Xt-3)”. Hacettepe Journal of Mathematics and Statistics 41 (5): 751-65. https://izlik.org/JA68MM63EC.
EndNote
Merdan H, Karao?lu E (May 1, 2012) Consequences of Allee Effects on Stability Analysis of the Population Model Xt+1=lXtf(Xt-3). Hacettepe Journal of Mathematics and Statistics 41 5 751–765.
IEEE
[1]H. Merdan and E. Karao?lu, “Consequences of Allee Effects on Stability Analysis of the Population Model Xt+1=lXtf(Xt-3)”, Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 5, pp. 751–765, May 2012, [Online]. Available: https://izlik.org/JA68MM63EC
ISNAD
Merdan, H. - Karao?lu, E. “Consequences of Allee Effects on Stability Analysis of the Population Model Xt+1=lXtf(Xt-3)”. Hacettepe Journal of Mathematics and Statistics 41/5 (May 1, 2012): 751-765. https://izlik.org/JA68MM63EC.
JAMA
1.Merdan H, Karao?lu E. Consequences of Allee Effects on Stability Analysis of the Population Model Xt+1=lXtf(Xt-3). Hacettepe Journal of Mathematics and Statistics. 2012;41:751–765.
MLA
Merdan, H., and E. Karao?lu. “Consequences of Allee Effects on Stability Analysis of the Population Model Xt+1=lXtf(Xt-3)”. Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 5, May 2012, pp. 751-65, https://izlik.org/JA68MM63EC.
Vancouver
1.H. Merdan, E. Karao?lu. Consequences of Allee Effects on Stability Analysis of the Population Model Xt+1=lXtf(Xt-3). Hacettepe Journal of Mathematics and Statistics [Internet]. 2012 May 1;41(5):751-65. Available from: https://izlik.org/JA68MM63EC