Discrete Wolbachia Diffusion in Mosquito Populations with Allee Effects

Authors

  • Unal Ufuktepe

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i4.4524

Keywords:

competition model, discrete dynamical systems, stability, bifurcation, fixed point, manifolds

Abstract

We study stability analysis of a discrete-time dynamical system of Wolbachia diffusion in mosquito populations with Allee effects on the wild mosquito population. We analyze the competition between released mosquitoes and wild mosquitos. We show local and global stabilities of the fixed points, and type of bifurcations with respect to parameters. The results are verified by numerical simulations.

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Published

2022-10-31

Issue

Vol. 15 No. 4: (October 2022)

Section

Nonlinear Analysis

License

Copyright (c) 2022 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

Discrete Wolbachia Diffusion in Mosquito Populations with Allee Effects. (2022). European Journal of Pure and Applied Mathematics, 15(4), 1613-1622. https://doi.org/10.29020/nybg.ejpam.v15i4.4524

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