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

0507952 - MÚ 2021 RIV GB eng J - Journal Article
Adak, D. - Bairagi, N. - Hakl, Robert
Chaos in delay-induced Leslie–Gower prey–predator–parasite model and its control through prey harvesting.
Nonlinear Analysis: Real World Applications. Roč. 51, February (2020), č. článku 102998. ISSN 1468-1218. E-ISSN 1878-5719
Institutional support: RVO:67985840
Keywords : chaos * eco-epidemiological model * Hopf bifurcationLocal & global stability
OECD category: Applied mathematics
Impact factor: 2.763, year: 2020
Method of publishing: Open access
https://doi.org/10.1016/j.nonrwa.2019.102998

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.
Permanent Link: http://hdl.handle.net/11104/0298917