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Chaos in delay-induced Leslie–Gower prey–predator–parasite model and its control through prey harvesting
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SYSNO ASEP 0507952 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Chaos in delay-induced Leslie–Gower prey–predator–parasite model and its control through prey harvesting Tvůrce(i) Adak, D. (IN)
Bairagi, N. (IN)
Hakl, Robert (MU-W) RID, SAI, ORCIDČíslo článku 102998 Zdroj.dok. Nonlinear Analysis: Real World Applications. - : Elsevier - ISSN 1468-1218
Roč. 51, February (2020)Poč.str. 20 s. Jazyk dok. eng - angličtina Země vyd. GB - Velká Británie Klíč. slova chaos ; eco-epidemiological model ; Hopf bifurcationLocal & global stability Vědní obor RIV BA - Obecná matematika Obor OECD Applied mathematics Způsob publikování Open access Institucionální podpora MU-W - RVO:67985840 UT WOS 000488994500021 EID SCOPUS 85070383791 DOI 10.1016/j.nonrwa.2019.102998 Anotace 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. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2021 Elektronická adresa https://doi.org/10.1016/j.nonrwa.2019.102998
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