Does mutual interference stabilize prey–predator model with
Bazykin–Crowley–Martin trophic function?

J 2024

Does mutual interference stabilize prey–predator model with Bazykin–Crowley–Martin trophic function?

TYUTYUNOV, Yuri; Deeptajyoti SEN a Malay BANERJEE

Základní údaje

Originální název

Does mutual interference stabilize prey–predator model with Bazykin–Crowley–Martin trophic function?

Autoři

TYUTYUNOV, Yuri; Deeptajyoti SEN a Malay BANERJEE

Vydání

Mathematical Biosciences, Elsevier Inc. 2024, 0025-5564

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10102 Applied mathematics

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 1.800

Označené pro přenos do RIV

Ano

Kód RIV

RIV/00216224:14310/24:00135890

Organizační jednotka

Přírodovědecká fakulta

Klíčová slova anglicky

Mutual interference of predators; Functional response; Bifurcation analysis; Stabilizing effect; Destabilizing effect; Extinction risk

Štítky

14311010, rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 11. 10. 2024 14:09, Mgr. Marie Novosadová Šípková, DiS.

Anotace

V originále

We investigated a system of ordinary differential equations that describes the dynamics of prey and predator populations, taking into account the Allee effect affecting the reproduction of the predator population, and mutual interference amongst predators, which is modeled with the Bazykin–Crowley–Martin (BCM) trophic function. Bifurcation analysis revealed a rich spectrum of bifurcations occurring in the system. In particular, analytical conditions for the saddle–node, Hopf, cusp, and Bogdanov–Takens bifurcations were derived for the model parameters, quantifying the strength of the predator interference, the Allee effect, and the predation efficiency. Numerical simulations verify and illustrate the analytical findings. The main purpose of the study was to test whether the mutual interference in the model with BCM trophic function provides a stabilizing or destabilizing effect on the system dynamics. The obtained results suggest that the model demonstrates qualitatively the same pattern concerning varying the interference strength as other predator-dependent models: both low and very high interference levels increase the risk of predator extinction, while moderate interference has a favorable effect on the stability and resilience of the prey–predator system.

Návaznosti

101063853, interní kód MU

Název: Models with cross-interactions between partial dynamical processes aiming to understand significant or abrupt dynamic changes. (Akronym: CrossInteractions)

Investor: Evropská unie, Models with cross-interactions between partial dynamical processes aiming to understand significant or abrupt dynamic changes., Marie Skłodowska-Curie Postdoctoral Fellowships (MSCA PF)

Citovat

TYUTYUNOV, Yuri; Deeptajyoti SEN a Malay BANERJEE. Does mutual interference stabilize prey–predator model with Bazykin–Crowley–Martin trophic function? Mathematical Biosciences. Elsevier Inc., 2024, roč. 372, June 2024, s. 1-13. ISSN 0025-5564. Dostupné z: https://doi.org/10.1016/j.mbs.2024.109201.

@article{2397279,
   author = {Tyutyunov, Yuri and Sen, Deeptajyoti and Banerjee, Malay},
   article_number = {June 2024},
   doi = {https://doi.org/10.1016/j.mbs.2024.109201},
   keywords = {Mutual interference of predators; Functional response; Bifurcation analysis; Stabilizing effect; Destabilizing effect; Extinction risk},
   language = {eng},
   issn = {0025-5564},
   journal = {Mathematical Biosciences},
   title = {Does mutual interference stabilize prey–predator model with Bazykin–Crowley–Martin trophic function?},
   url = {https://www.sciencedirect.com/science/article/pii/S0025556424000610},
   volume = {372},
   year = {2024}
}

TY  - JOUR
ID  - 2397279
AU  - Tyutyunov, Yuri - Sen, Deeptajyoti - Banerjee, Malay
PY  - 2024
TI  - Does mutual interference stabilize prey–predator model with Bazykin–Crowley–Martin trophic function?
JF  - Mathematical Biosciences
VL  - 372
IS  - June 2024
SP  - 1-13
EP  - 1-13
PB  - Elsevier Inc.
SN  - 00255564
KW  - Mutual interference of predators
KW  - Functional response
KW  - Bifurcation analysis
KW  - Stabilizing effect
KW  - Destabilizing effect
KW  - Extinction risk
UR  - https://www.sciencedirect.com/science/article/pii/S0025556424000610
N2  - We investigated a system of ordinary differential equations that describes the dynamics of prey and predator populations, taking into account the Allee effect affecting the reproduction of the predator population, and mutual interference amongst predators, which is modeled with the Bazykin–Crowley–Martin (BCM) trophic function. Bifurcation analysis revealed a rich spectrum of bifurcations occurring in the system. In particular, analytical conditions for the saddle–node, Hopf, cusp, and Bogdanov–Takens bifurcations were derived for the model parameters, quantifying the strength of the predator interference, the Allee effect, and the predation efficiency. Numerical simulations verify and illustrate the analytical findings. The main purpose of the study was to test whether the mutual interference in the model with BCM trophic function provides a stabilizing or destabilizing effect on the system dynamics. The obtained results suggest that the model demonstrates qualitatively the same pattern concerning varying the interference strength as other predator-dependent models: both low and very high interference levels increase the risk of predator extinction, while moderate interference has a favorable effect on the stability and resilience of the prey–predator system.
ER  -

TYUTYUNOV, Yuri; Deeptajyoti SEN a Malay BANERJEE. Does mutual interference stabilize prey–predator model with Bazykin–Crowley–Martin trophic function? \textit{Mathematical Biosciences}. Elsevier Inc., 2024, roč.~372, June 2024, s.~1-13. ISSN~0025-5564. Dostupné z: https://doi.org/10.1016/j.mbs.2024.109201.

Přehled o publikaci