Stability and invariant manifold for a predator-prey model with Allee effect

Ünal Ufuktepe; Sinan Kapçak; Olcay Akman

doi:10.1186/1687-1847-2013-348

Stability and invariant manifold for a predator-prey model with Allee effect

Ünal Ufuktepe, Sinan Kapçak, Olcay Akman

Research output: Contribution to journal › Article › Academic › peer-review

6 Citations (Scopus)

Abstract

Predator-prey models are similar to host-parasite and host-parasitoid models. We investigate the stability and invariant manifolds of a discrete predator-prey model by using center manifold theory which is not addressed in Çelik and Duman (Chaos Solitons Fractals 40:1956-1962, 2009), and Wang et al. (Ecol. Complex. 8:81-85, 2011).

Original language	English
Article number	348
Journal	Advances in Difference Equations
Volume	2013
DOIs	https://doi.org/10.1186/1687-1847-2013-348
Publication status	Published - Dec 2013
Externally published	Yes

Access to Document

10.1186/1687-1847-2013-348

Cite this

@article{3366d79b9d5a4f70ba2b80f504976a31,

title = "Stability and invariant manifold for a predator-prey model with Allee effect",

abstract = "Predator-prey models are similar to host-parasite and host-parasitoid models. We investigate the stability and invariant manifolds of a discrete predator-prey model by using center manifold theory which is not addressed in {\c C}elik and Duman (Chaos Solitons Fractals 40:1956-1962, 2009), and Wang et al. (Ecol. Complex. 8:81-85, 2011).",

author = "{\"U}nal Ufuktepe and Sinan Kap{\c c}ak and Olcay Akman",

year = "2013",

month = dec,

doi = "10.1186/1687-1847-2013-348",

language = "English",

volume = "2013",

journal = "Advances in Difference Equations",

issn = "1687-1839",

publisher = "Springer",

}

TY - JOUR

T1 - Stability and invariant manifold for a predator-prey model with Allee effect

AU - Ufuktepe, Ünal

AU - Kapçak, Sinan

AU - Akman, Olcay

PY - 2013/12

Y1 - 2013/12

N2 - Predator-prey models are similar to host-parasite and host-parasitoid models. We investigate the stability and invariant manifolds of a discrete predator-prey model by using center manifold theory which is not addressed in Çelik and Duman (Chaos Solitons Fractals 40:1956-1962, 2009), and Wang et al. (Ecol. Complex. 8:81-85, 2011).

AB - Predator-prey models are similar to host-parasite and host-parasitoid models. We investigate the stability and invariant manifolds of a discrete predator-prey model by using center manifold theory which is not addressed in Çelik and Duman (Chaos Solitons Fractals 40:1956-1962, 2009), and Wang et al. (Ecol. Complex. 8:81-85, 2011).

UR - http://www.scopus.com/inward/record.url?scp=84897905496&partnerID=8YFLogxK

U2 - 10.1186/1687-1847-2013-348

DO - 10.1186/1687-1847-2013-348

M3 - Article

AN - SCOPUS:84897905496

SN - 1687-1839

VL - 2013

JO - Advances in Difference Equations

JF - Advances in Difference Equations

M1 - 348

ER -

Stability and invariant manifold for a predator-prey model with Allee effect

Abstract

Access to Document

Other files and links

Fingerprint

Cite this