Hopf Bifurcation Analysis of a Housefly Model with Time Delay-Reference-Cited by-同舟云学术

Hopf Bifurcation Analysis of a Housefly Model with Time Delay

Published:2023-07 Issue:09 Volume:33 Page:
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Chang Xiaoyuan¹^ORCID,Gao Xu¹,Zhang Jimin²

Affiliation:

1. School of Sciences, Harbin University of Science and Technology, Harbin, Heilongjiang 150080, P. R. China

2. School of Mathematical Sciences, Heilongjiang University, Harbin, Heilongjiang 150080, P. R. China

Abstract

The oscillatory dynamics of a delayed housefly model is analyzed in this paper. The local and global stabilities at the non-negative equilibria are obtained via analyzing the distribution of eigenvalues and Lyapunov–LaSalle invariance principle, and the model undergoes the supercritical Hopf bifurcation and the transient oscillation. Based on Wu’s global Hopf bifurcation theory, the existence of the global bifurcation is established under certain conditions.

Funder

Heilongjiang Provincial Natural Science Foundation of China

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127423501067

Reference33 articles.

1. Instability and complex dynamic behaviour in population models with long time delays

2. Resistance of Houseflies to γ-Benzene Hexachloride and Dieldrin

3. Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect

4. Global dynamics of the diffusive Lotka–Volterra competition model with stage structure

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