Does mutual interference stabilize prey–predator model with Bazykin–Crowley–Martin trophic function?
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F24%3A00135890" target="_blank" >RIV/00216224:14310/24:00135890 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0025556424000610" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0025556424000610</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.mbs.2024.109201" target="_blank" >10.1016/j.mbs.2024.109201</a>
Alternative languages
Result language
angličtina
Original language name
Does mutual interference stabilize prey–predator model with Bazykin–Crowley–Martin trophic function?
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematical Biosciences
ISSN
0025-5564
e-ISSN
1879-3134
Volume of the periodical
372
Issue of the periodical within the volume
June 2024
Country of publishing house
US - UNITED STATES
Number of pages
13
Pages from-to
1-13
UT code for WoS article
001232690800001
EID of the result in the Scopus database
2-s2.0-85190837793