Allee Effect in Prey versus Hunting Cooperation on Predator -
Enhancement of Stable Coexistence

J 2019

Allee Effect in Prey versus Hunting Cooperation on Predator - Enhancement of Stable Coexistence

SEN, Deeptajyoti; S GHORAI a M BANERJEE

Základní údaje

Originální název

Allee Effect in Prey versus Hunting Cooperation on Predator - Enhancement of Stable Coexistence

Autoři

SEN, Deeptajyoti; S GHORAI a M BANERJEE

Vydání

International Journal of Bifurcation and Chaos, SINGAPORE, WORLD SCIENTIFIC PUBL CO PTE LTD, 2019, 0218-1274

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Utajení

není předmětem státního či obchodního tajemství

Impakt faktor

Impact factor: 2.469

Označené pro přenos do RIV

DOI

https://doi.org/10.1142/S0218127419500810

UT WoS

000475470500011

Klíčová slova anglicky

Allee effect; hunting cooperation; stability; bifurcation; global dynamics

Štítky

RIV ne

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 21. 1. 2022 14:31, Deeptajyoti Sen, Ph.D., M.Sc.

Anotace

V originále

Predator foraging facilitation or cooperative hunting increases per predator consumption rate as predator density increases. This affects predator extinction in a prey-predator interaction model when the predator density is low. This is an indication of Allee effect in predator's growth rate. Here, we take a Gause type model with a generalized type II functional response which depends on both prey and predator densities. We also assume that prey's growth is subjected to Allee effect. Strong Allee effect in prey's growth rate enhances the stability of the coexisting steady state. A region is found in a two-parameter plane where the coexisting steady state is a global attractor when the prey's growth is subjected to weak Allee effect. In addition, codimension two bifurcation points (cusp and Bogdanov-Takers points) have also been found in the bifurcation diagram.

Citovat

SEN, Deeptajyoti; S GHORAI a M BANERJEE. Allee Effect in Prey versus Hunting Cooperation on Predator - Enhancement of Stable Coexistence. International Journal of Bifurcation and Chaos. SINGAPORE: WORLD SCIENTIFIC PUBL CO PTE LTD, 2019, roč. 29, č. 6, 24 s. ISSN 0218-1274. Dostupné z: https://doi.org/10.1142/S0218127419500810.

@article{1825186,
   author = {Sen, Deeptajyoti and Ghorai, S and Banerjee, M},
   article_location = {SINGAPORE},
   article_number = {6},
   doi = {https://doi.org/10.1142/S0218127419500810},
   keywords = {Allee effect; hunting cooperation; stability; bifurcation; global dynamics},
   language = {eng},
   issn = {0218-1274},
   journal = {International Journal of Bifurcation and Chaos},
   title = {Allee Effect in Prey versus Hunting Cooperation on Predator - Enhancement of Stable Coexistence},
   volume = {29},
   year = {2019}
}

TY  - JOUR
ID  - 1825186
AU  - Sen, Deeptajyoti - Ghorai, S - Banerjee, M
PY  - 2019
TI  - Allee Effect in Prey versus Hunting Cooperation on Predator - Enhancement of Stable Coexistence
JF  - International Journal of Bifurcation and Chaos
VL  - 29
IS  - 6
PB  - WORLD SCIENTIFIC PUBL CO PTE LTD
SN  - 02181274
KW  - Allee effect
KW  - hunting cooperation
KW  - stability
KW  - bifurcation
KW  - global dynamics
N2  - Predator foraging facilitation or cooperative hunting increases per predator consumption rate as predator density increases. This affects predator extinction in a prey-predator interaction model when the predator density is low. This is an indication of Allee effect in predator's growth rate. Here, we take a Gause type model with a generalized type II functional response which depends on both prey and predator densities. We also assume that prey's growth is subjected to Allee effect. Strong Allee effect in prey's growth rate enhances the stability of the coexisting steady state. A region is found in a two-parameter plane where the coexisting steady state is a global attractor when the prey's growth is subjected to weak Allee effect. In addition, codimension two bifurcation points (cusp and Bogdanov-Takers points) have also been found in the bifurcation diagram.
ER  -

SEN, Deeptajyoti; S GHORAI a M BANERJEE. Allee Effect in Prey versus Hunting Cooperation on Predator - Enhancement of Stable Coexistence. \textit{International Journal of Bifurcation and Chaos}. SINGAPORE: WORLD SCIENTIFIC PUBL CO PTE LTD, 2019, roč.~29, č.~6, 24 s. ISSN~0218-1274. Dostupné z: https://doi.org/10.1142/S0218127419500810.

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