EFFECT Of DELAY IN A <i>MUSCA DOMESTICA</i> HOUSEFLIES MODEL: STABILITY AND GLOBAL HOPF BIFURCATION-Reference-Cited by-同舟云学术

EFFECT Of DELAY IN A MUSCA DOMESTICA HOUSEFLIES MODEL: STABILITY AND GLOBAL HOPF BIFURCATION

Published:2024-04-18 Issue:02 Volume:32 Page:845-857
ISSN:0218-3390
Container-title:Journal of Biological Systems
language:en
Short-container-title:J. Biol. Syst.

Author:

ZHANG XIN¹^ORCID,SHI RENXIANG²^ORCID

Affiliation:

1. School of Applied Mathematics, Nanjing University of Finance & Economics, Nanjing, Jiangsu 210023, P. R. China

2. Department of Mathematics, Nanjing University of Chinese Medicine, Nanjing, Jiangsu 210023, P. R. China

Abstract

The study focuses on the model of houseflies with discrete delay, which is examined both theoretically and numerically. The solution of the delayed system is bounded and positive. The delay is selected as the bifurcation parameter. Stability analysis, local and global Hopf bifurcation are given in theoretical aspect. Through computer simulations, various dynamic behaviors, such as supercritical Hopf bifurcation, are detected. The theoretical analysis and numerical observations in this research are significant contributions to the biomathematics research area.

Funder

Special Reform and Development Project of Nanjing University of Finance and Economics in 2023

Teaching Reform Research Project of Nanjing University of Finance and Economics in 2023

Natural Science Foundation of Jiangsu Province

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218339024500281

Reference14 articles.

1. Oscillations in Housefly Population Sizes Due to Time Lags

2. DELAY DIFFERENTIAL EQUATIONS IN SINGLE SPECIES DYNAMICS

3. STABILITY AND BIFURCATION IN A PREDATOR–PREY MODEL WITH PREY REFUGE