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

Abstract

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.