Chaos in delay-induced Leslie–Gower prey–predator–parasite model and its control through prey harvesting
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00507952" target="_blank" >RIV/67985840:_____/20:00507952 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.nonrwa.2019.102998" target="_blank" >https://doi.org/10.1016/j.nonrwa.2019.102998</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.nonrwa.2019.102998" target="_blank" >10.1016/j.nonrwa.2019.102998</a>
Alternative languages
Result language
angličtina
Original language name
Chaos in delay-induced Leslie–Gower prey–predator–parasite model and its control through prey harvesting
Original language description
In this paper we analyze a delay-induced predator–prey–parasite model with prey harvesting, where the predator–prey interaction is represented by Leslie–Gower type model with type II functional response. Infection is assumed to spread horizontally from one infected prey to another susceptible prey following mass action law. Spreading of disease is not instantaneous but mediated by a time lag to take into account the time required for incubation process. Both the susceptible and infected preys are subjected to linear harvesting. The analysis is accomplished in two phases. First we analyze the delay-induced predator–prey–parasite system in absence of harvesting and proved the local & global dynamics of different (six) equilibrium points. It is proved that the delay has no influence on the stability of different equilibrium points except the interior one.
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
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Nonlinear Analysis: Real World Applications
ISSN
1468-1218
e-ISSN
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Volume of the periodical
51
Issue of the periodical within the volume
February
Country of publishing house
GB - UNITED KINGDOM
Number of pages
20
Pages from-to
102998
UT code for WoS article
000488994500021
EID of the result in the Scopus database
2-s2.0-85070383791