A Host-Parasitoid Dynamics with Allee and Refuge Effects

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Date

2023

Journal Title

Journal ISSN

Volume Title

Publisher

New York Business Global LLC

Abstract

We examine a discrete-time host-parasitoid model incorporating simultaneously an Allee and a refuge effect on the host. We investigate existence of a positive fixed point, local asymptotic stability, global stability of the fixed points and bifurcations. Numerical examples are given for verification of the theoretical results and we compare the model with existing data from the literature. 2020 Mathematics Subject Classifications: 92D25, 39A30, 92D30

Description

Kalampakas, Antonios/0000-0001-8821-6102

Keywords

Discrete Dynamical Systems, Host-Parasitoid, Nicholson-Bailey, Bi, Furcation, Allee Effect, Refuge Effect

WoS Q

Q2

Scopus Q

Q4

Source

European Journal of Pure and Applied Mathematics

Volume

16

Issue

2

Start Page

736

End Page

750