University Links: Home Page | Site Map
Covenant University Repository

Stability Analysis of a Nontrivial Solution for Delayed Nicholson Blowflies’ Model with Linear Harvesting Function

EZEKIEL, I. D. and Iyase, S.A . and Anake, T. A. (2021) Stability Analysis of a Nontrivial Solution for Delayed Nicholson Blowflies’ Model with Linear Harvesting Function. In: ICORTAR, 2021, Online.

[img] PDF
Download (1MB)

Abstract

The study investigates stability analysis of Nicholson-blowflies’ equation with a linear harvesting function, where sufficient conditions are obtained for nontrivial equilibrium of a delayed model using the corresponding characteristic equation and Hopf bifurcation analysis. The Hopf bifurcation is studied for the qualitative character of the dynamical system, and conditions for the existence of periodic oscillation are identified. The periodic orbit of the model is equally investigated, from which further chaotic results are obtained using numerical example via MATLAB software. The study supplements theoretical improvement to earlier results obtained in the literature.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Characteristic equation, Delay differential equation, Hopf bifurcation, Stability analysis
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Mrs Patricia Nwokealisi
Date Deposited: 23 May 2022 12:04
Last Modified: 23 May 2022 12:04
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/15864

Actions (login required)

View Item View Item