Stochastic modified Beverton–Holt model with Allee effect II: the Cushing–Henson conjecture

Laila Assas; Brian Dennis; Saber Elaydi; Eddy Kwessi; George Livadiotis

doi:10.1080/10236198.2015.1075521

Stochastic modified Beverton–Holt model with Allee effect II: the Cushing–Henson conjecture

Laila Assas
, Brian Dennis
, Saber Elaydi
, Eddy Kwessi
, George Livadiotis

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

8 Scopus citations

Abstract

We consider a single-species stochastic modified Beverton–Holt model with Allee effects caused by predator saturation. We prove that, under some conditions on the parameters, there exists a Markov operator that is asymptotically stable. A stochastic version of the Cushing–Henson conjecture on attenuance and resonance is investigated.

Original language	English (US)
Pages (from-to)	164-176
Number of pages	13
Journal	Journal of Difference Equations and Applications
Volume	22
Issue number	2
DOIs	https://doi.org/10.1080/10236198.2015.1075521
State	Published - Feb 1 2016
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Applied Mathematics

Keywords

Allee effect
asymptotic stability
attenuance
Markov operator
resonance
stochastic

Access to Document

10.1080/10236198.2015.1075521

Cite this

@article{7395a27366e444bcb9d0f3f8de13f6b2,

title = "Stochastic modified Beverton–Holt model with Allee effect II: the Cushing–Henson conjecture",

abstract = "We consider a single-species stochastic modified Beverton–Holt model with Allee effects caused by predator saturation. We prove that, under some conditions on the parameters, there exists a Markov operator that is asymptotically stable. A stochastic version of the Cushing–Henson conjecture on attenuance and resonance is investigated.",

keywords = "Allee effect, asymptotic stability, attenuance, Markov operator, resonance, stochastic",

author = "Laila Assas and Brian Dennis and Saber Elaydi and Eddy Kwessi and George Livadiotis",

note = "Publisher Copyright: {\textcopyright} 2016 Taylor \& Francis.",

year = "2016",

month = feb,

day = "1",

doi = "10.1080/10236198.2015.1075521",

language = "English (US)",

volume = "22",

pages = "164--176",

journal = "Journal of Difference Equations and Applications",

issn = "1023-6198",

publisher = "Taylor and Francis Ltd.",

number = "2",

}

TY - JOUR

T1 - Stochastic modified Beverton–Holt model with Allee effect II

T2 - the Cushing–Henson conjecture

AU - Assas, Laila

AU - Dennis, Brian

AU - Elaydi, Saber

AU - Kwessi, Eddy

AU - Livadiotis, George

PY - 2016/2/1

Y1 - 2016/2/1

N2 - We consider a single-species stochastic modified Beverton–Holt model with Allee effects caused by predator saturation. We prove that, under some conditions on the parameters, there exists a Markov operator that is asymptotically stable. A stochastic version of the Cushing–Henson conjecture on attenuance and resonance is investigated.

AB - We consider a single-species stochastic modified Beverton–Holt model with Allee effects caused by predator saturation. We prove that, under some conditions on the parameters, there exists a Markov operator that is asymptotically stable. A stochastic version of the Cushing–Henson conjecture on attenuance and resonance is investigated.

KW - Allee effect

KW - asymptotic stability

KW - attenuance

KW - Markov operator

KW - resonance

KW - stochastic

UR - https://www.scopus.com/pages/publications/84961214315

UR - https://www.scopus.com/pages/publications/84961214315#tab=citedBy

U2 - 10.1080/10236198.2015.1075521

DO - 10.1080/10236198.2015.1075521

M3 - Article

AN - SCOPUS:84961214315

SN - 1023-6198

VL - 22

SP - 164

EP - 176

JO - Journal of Difference Equations and Applications

JF - Journal of Difference Equations and Applications

IS - 2

ER -

Stochastic modified Beverton–Holt model with Allee effect II: the Cushing–Henson conjecture

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this