Allee effect in prey's growth reduces the dynamical complexity
in prey-predator model with generalist predator

J 2021

Allee effect in prey's growth reduces the dynamical complexity in prey-predator model with generalist predator

SEN, Deeptajyoti; S GHORAI; S SHARMA a M BANERJEE

Základní údaje

Originální název

Allee effect in prey's growth reduces the dynamical complexity in prey-predator model with generalist predator

Autoři

SEN, Deeptajyoti; S GHORAI; S SHARMA a M BANERJEE

Vydání

APPLIED MATHEMATICAL MODELLING, NEW YORK, ELSEVIER SCIENCE INC, 2021, 0307-904X

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Utajení

není předmětem státního či obchodního tajemství

Impakt faktor

Impact factor: 5.336

Označené pro přenos do RIV

DOI

https://doi.org/10.1016/j.apm.2020.09.046

UT WoS

000606321200002

Klíčová slova anglicky

Allee effect; Generalist predator; Bistability; Bifurcation

Štítky

RIV ne

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 21. 1. 2022 14:33, Deeptajyoti Sen, Ph.D., M.Sc.

Anotace

V originále

Prey-predator models with Allee effect have great importance in the context of ecology. Allee effect refers to a positive relationship between population density and per capita growth rate. Here we examine the influences of Allee effect in a prey-predator interaction model with a generalist predator. First we consider a prey-predator model with a generalist predator without the Allee effect which exhibits rich and complex dynamics like bistability, tristability along with local and global bifurcations such as cyclic bifurcations of limit cycle, homoclinic bifurcation, etc. Next, we investigate the same model with Allee effect in prey's growth. This modified model exhibits simpler dynamics compared to the previous model. Though it undergoes local and global bifurcations as in the previous model, but tristability does not occur in this model. Also, increase of Allee parameter turns the system more structurally stable compared to prey-predator model with generalist predator only. Some of the results are supported numerically since the interior equilibrium points can not be obtained analytically. (C) 2020 Elsevier Inc. All rights reserved.

Citovat

SEN, Deeptajyoti; S GHORAI; S SHARMA a M BANERJEE. Allee effect in prey's growth reduces the dynamical complexity in prey-predator model with generalist predator. APPLIED MATHEMATICAL MODELLING. NEW YORK: ELSEVIER SCIENCE INC, 2021, roč. 91, s. 768-790. ISSN 0307-904X. Dostupné z: https://doi.org/10.1016/j.apm.2020.09.046.

@article{1825194,
   author = {Sen, Deeptajyoti and Ghorai, S and Sharma, S and Banerjee, M},
   article_location = {NEW YORK},
   doi = {https://doi.org/10.1016/j.apm.2020.09.046},
   keywords = {Allee effect; Generalist predator; Bistability; Bifurcation},
   language = {eng},
   issn = {0307-904X},
   journal = {APPLIED MATHEMATICAL MODELLING},
   title = {Allee effect in prey's growth reduces the dynamical complexity in prey-predator model with generalist predator},
   volume = {91},
   year = {2021}
}

TY  - JOUR
ID  - 1825194
AU  - Sen, Deeptajyoti - Ghorai, S - Sharma, S - Banerjee, M
PY  - 2021
TI  - Allee effect in prey's growth reduces the dynamical complexity in prey-predator model with generalist predator
JF  - APPLIED MATHEMATICAL MODELLING
VL  - 91
SP  - 768-790
EP  - 768-790
PB  - ELSEVIER SCIENCE INC
SN  - 0307904X
KW  - Allee effect
KW  - Generalist predator
KW  - Bistability
KW  - Bifurcation
N2  - Prey-predator models with Allee effect have great importance in the context of ecology. Allee effect refers to a positive relationship between population density and per capita growth rate. Here we examine the influences of Allee effect in a prey-predator interaction model with a generalist predator. First we consider a prey-predator model with a generalist predator without the Allee effect which exhibits rich and complex dynamics like bistability, tristability along with local and global bifurcations such as cyclic bifurcations of limit cycle, homoclinic bifurcation, etc. Next, we investigate the same model with Allee effect in prey's growth. This modified model exhibits simpler dynamics compared to the previous model. Though it undergoes local and global bifurcations as in the previous model, but tristability does not occur in this model. Also, increase of Allee parameter turns the system more structurally stable compared to prey-predator model with generalist predator only. Some of the results are supported numerically since the interior equilibrium points can not be obtained analytically. (C) 2020 Elsevier Inc. All rights reserved.
ER  -

SEN, Deeptajyoti; S GHORAI; S SHARMA a M BANERJEE. Allee effect in prey's growth reduces the dynamical complexity in prey-predator model with generalist predator. \textit{APPLIED MATHEMATICAL MODELLING}. NEW YORK: ELSEVIER SCIENCE INC, 2021, roč.~91, s.~768-790. ISSN~0307-904X. Dostupné z: https://doi.org/10.1016/j.apm.2020.09.046.

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