Chaos in delay-induced Leslie–Gower prey–predator–parasite model and its control through prey harvesting

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Chaos in delay-induced Leslie–Gower prey–predator–parasite model and its control through prey harvesting

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Chaos in delay-induced Leslie–Gower prey–predator–parasite model and its control through prey harvesting

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Nonlinear Analysis: Real World Applications

ISSN

1468-1218

e-ISSN

—

Svazek periodika

51

Číslo periodika v rámci svazku

February

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

20

Strana od-do

102998

Kód UT WoS článku

000488994500021

EID výsledku v databázi Scopus

2-s2.0-85070383791