A Host-parasitoid Dynamics with Allee and Refuge effects

Authors

  • Burcin Kulahcioglu
  • Unal Ufuktepe
  • Antonios Kalampakas

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i2.4707

Keywords:

Host-parasitoid, Nicholson-Bailey, Bifurcation, Allee effect, Refuge effect

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.

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Published

2023-04-30

Issue

Vol. 16 No. 2: (April 2023)

License

Copyright (c) 2023 European Journal of Pure and Applied Mathematics

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

A Host-parasitoid Dynamics with Allee and Refuge effects. (2023). European Journal of Pure and Applied Mathematics, 16(2), 736-750. https://doi.org/10.29020/nybg.ejpam.v16i2.4707