BibTex RIS Kaynak Göster

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

Yıl 2012, Cilt: 41 Sayı: 5, 751 - 765, 01.05.2012

Kaynakça

  • Allee, W. C. Animal Aggretions: A Study in General Sociology (University of Chicago Press, Chicago, 1931).
  • Allen, L. J. S. An Introduction to Mathematical Biology (Pearson, New Jersey, 2007).
  • Courchamp, F., Berec L. and Gascoigne, J. Allee Effects in Ecology and Conservation (Oxford University Press, New York, 2008).
  • C¸ elik, C., Merdan, H., Duman O. and Akın, ¨O. Allee effects on population dynamics with delay, Chaos, Solitons & Fractals 37, 65–74, 2008.
  • 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.
  • Duman, O. and Merdan, H. Stability analysis of continuous population model involving predation and Allee effect, Chaos, Solitons & Fractals 41, 1218–1222, 2009.
  • Elaydi, S. N. An Introduction to Difference Equations (Springer, New York, 2006).
  • Fowler, M. S. and Ruxton, G. D. Population dynamic consequences of Allee effects, J Theor Biol 215, 39–46, 2002.
  • Hale, J. and Ko¸cak, H. Dynamics and Bifurcation (Springer-Verlag, New York, 1991).
  • Jang, S. R. J. Discrete-time host-parasitoid models with Allee effects: Density dependence versus parasitism, J. Diffence Equ. Appl 17, 525–539, 2011.
  • Kulenovi´c, M. R. S., Ladas, G. and Prokup, N. R. A rational difference equations, Comput Math Appl. 41, 671-678, 2001.
  • L´opez-Ruiz, R. and Fournier-Prunaret, D. Indirect Allee effect, bistability and chaotic os- cillations in a predator-prey discrete model of logistic type, Chaos, Solitons & Fractals 24, –101, 2005.
  • McCarthy, M. A. The Allee effect, finding mates and theoretical models, Ecological Mod- elling 103, 99–102, 1997.
  • Merdan, H. and Duman, O. On the stability analysis of a general discrete-time population model involving predation and Allee effects, Chaos, Solitons & Fractals 40, 1169–1175, 2009.
  • Merdan, H., Duman, O., Akın, ¨O and C¸ elik, C. Allee effects on population dynamics in continous (overlaping) case, Chaos, Solitons & Fractals 39, 1994–2001, 2009.
  • Merdan, H. and Ak G¨um¨u¸s, O. A. Stability analysis of a general discrete-time population model involving delay with Allee effects, Appl. Math. and Comp. 219, 1821–1832, 2012.
  • Merdan, H. Stability analysis of a Lotka-Volterra type predator-prey system involving Allee effects, ANZIAM J. 52, 139–145, 2010.
  • Murray, J. D. Mathematical Biology (Springer-Verlag, New York, 1993).
  • Scheuring, I. Allee effect increases the dynamical stability of populations, J Theor. Biol. , 407–414, 1999.
  • Sophia, R. and Jang, J. Allee effects in a discrete-time host-parasitoid model with stage structure in the host, Disc. & Cont. Dyn. Sys. -B 8, 145–159, 2007.
  • Stephens, P. A. and Sutherland, W. J. Consequences of the Allee effect for behaviour, ecology and conservation, Trends in Ecology & Evolution 14, 401–405, 1999
  • Zhou, S. R, Liu, Y. F and Wang, G. The stability of predator-prey systems subject to the Allee effects, Theor. Population Biol. 67, 23–31, 2005.

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

Yıl 2012, Cilt: 41 Sayı: 5, 751 - 765, 01.05.2012

Kaynakça

  • Allee, W. C. Animal Aggretions: A Study in General Sociology (University of Chicago Press, Chicago, 1931).
  • Allen, L. J. S. An Introduction to Mathematical Biology (Pearson, New Jersey, 2007).
  • Courchamp, F., Berec L. and Gascoigne, J. Allee Effects in Ecology and Conservation (Oxford University Press, New York, 2008).
  • C¸ elik, C., Merdan, H., Duman O. and Akın, ¨O. Allee effects on population dynamics with delay, Chaos, Solitons & Fractals 37, 65–74, 2008.
  • 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.
  • Duman, O. and Merdan, H. Stability analysis of continuous population model involving predation and Allee effect, Chaos, Solitons & Fractals 41, 1218–1222, 2009.
  • Elaydi, S. N. An Introduction to Difference Equations (Springer, New York, 2006).
  • Fowler, M. S. and Ruxton, G. D. Population dynamic consequences of Allee effects, J Theor Biol 215, 39–46, 2002.
  • Hale, J. and Ko¸cak, H. Dynamics and Bifurcation (Springer-Verlag, New York, 1991).
  • Jang, S. R. J. Discrete-time host-parasitoid models with Allee effects: Density dependence versus parasitism, J. Diffence Equ. Appl 17, 525–539, 2011.
  • Kulenovi´c, M. R. S., Ladas, G. and Prokup, N. R. A rational difference equations, Comput Math Appl. 41, 671-678, 2001.
  • L´opez-Ruiz, R. and Fournier-Prunaret, D. Indirect Allee effect, bistability and chaotic os- cillations in a predator-prey discrete model of logistic type, Chaos, Solitons & Fractals 24, –101, 2005.
  • McCarthy, M. A. The Allee effect, finding mates and theoretical models, Ecological Mod- elling 103, 99–102, 1997.
  • Merdan, H. and Duman, O. On the stability analysis of a general discrete-time population model involving predation and Allee effects, Chaos, Solitons & Fractals 40, 1169–1175, 2009.
  • Merdan, H., Duman, O., Akın, ¨O and C¸ elik, C. Allee effects on population dynamics in continous (overlaping) case, Chaos, Solitons & Fractals 39, 1994–2001, 2009.
  • Merdan, H. and Ak G¨um¨u¸s, O. A. Stability analysis of a general discrete-time population model involving delay with Allee effects, Appl. Math. and Comp. 219, 1821–1832, 2012.
  • Merdan, H. Stability analysis of a Lotka-Volterra type predator-prey system involving Allee effects, ANZIAM J. 52, 139–145, 2010.
  • Murray, J. D. Mathematical Biology (Springer-Verlag, New York, 1993).
  • Scheuring, I. Allee effect increases the dynamical stability of populations, J Theor. Biol. , 407–414, 1999.
  • Sophia, R. and Jang, J. Allee effects in a discrete-time host-parasitoid model with stage structure in the host, Disc. & Cont. Dyn. Sys. -B 8, 145–159, 2007.
  • Stephens, P. A. and Sutherland, W. J. Consequences of the Allee effect for behaviour, ecology and conservation, Trends in Ecology & Evolution 14, 401–405, 1999
  • Zhou, S. R, Liu, Y. F and Wang, G. The stability of predator-prey systems subject to the Allee effects, Theor. Population Biol. 67, 23–31, 2005.
Toplam 22 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Bölüm Matematik
Yazarlar

H. Merdan Bu kişi benim

E. Karao?lu Bu kişi benim

Yayımlanma Tarihi 1 Mayıs 2012
Yayımlandığı Sayı Yıl 2012 Cilt: 41 Sayı: 5

Kaynak Göster

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.
AMA 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. Mayıs 2012;41(5):751-765.
Chicago Merdan, H., ve 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 41, sy. 5 (Mayıs 2012): 751-65.
EndNote Merdan H, Karao?lu E (01 Mayıs 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 H. Merdan ve 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, c. 41, sy. 5, ss. 751–765, 2012.
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 (Mayıs 2012), 751-765.
JAMA 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. ve 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, c. 41, sy. 5, 2012, ss. 751-65.
Vancouver 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):751-65.