Effect of Delay in a Musca Domestica Houseflies Model: Stability and Global Hopf Bifurcation

IF 1.3 4区数学 Q3 BIOLOGY

Journal of Biological Systems Pub Date : 2024-03-14 DOI:10.1142/s0218339024500281

Xin Zhang, Renxiang Shi

引用次数: 0

Abstract

. The houseﬂies model with discrete delay is studied in both theoretical and numerical ways. The solution of the delayed system is positive and bounded. Choosing the delay as the bifurcation parameter, stability analysis for the positive equilibrium of the delayed model, local and global Hopf bifurcation are given in theoretical aspect. Dynamical behaviors such as supercritical Hopf bifurcation is detected by computer simulations. The theoretical analysis and numerical observations in this work are interesting in biomathematics research area.

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家蝇模型中延迟的影响：稳定性和全局霍普夫分岔

.本文从理论和数值两方面研究了具有离散延迟的房屋模型。延迟系统的解是正的和有界的。选择延迟作为分岔参数，从理论方面给出了延迟模型正平衡、局部和全局霍普夫分岔的稳定性分析。通过计算机模拟检测了超临界霍普夫分岔等动力学行为。这项工作中的理论分析和数值观测在生物数学研究领域很有意义。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Biological Systems 生物-生物学

CiteScore

2.80

自引率

12.50%

发文量

审稿时长

1 months

期刊介绍： The Journal of Biological Systems is published quarterly. The goal of the Journal is to promote interdisciplinary approaches in Biology and in Medicine, and the study of biological situations with a variety of tools, including mathematical and general systems methods. The Journal solicits original research papers and survey articles in areas that include (but are not limited to): Complex systems studies; isomorphies; nonlinear dynamics; entropy; mathematical tools and systems theories with applications in Biology and Medicine. Interdisciplinary approaches in Biology and Medicine; transfer of methods from one discipline to another; integration of biological levels, from atomic to molecular, macromolecular, cellular, and organic levels; animal biology; plant biology. Environmental studies; relationships between individuals, populations, communities and ecosystems; bioeconomics, management of renewable resources; hierarchy theory; integration of spatial and time scales. Evolutionary biology; co-evolutions; genetics and evolution; branching processes and phyllotaxis. Medical systems; physiology; cardiac modeling; computer models in Medicine; cancer research; epidemiology. Numerical simulations and computations; numerical study and analysis of biological data. Epistemology; history of science. The journal will also publish book reviews.