Hopf bifurcation in the shadow of extinction: Collaborating with epidemic dynamics through lethal mutations and declining ancestor infections

IF 2 4区 生物学 Q2 BIOLOGY
Ali Demirci, Ayse Peker-Dobie, Cihangir Ozemir, Semra Ahmetolan
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引用次数: 0

Abstract

This study delves into the intricate realm of controlling Hopf and degenerate Hopf bifurcations within a Susceptible–Infectious–Susceptible model. Employing Braga’s control theory as our cornerstone, we embark on an exploration of the model’s dynamics, particularly focusing on an equilibrium point under the influence of control inputs. Our specific aim is to induce limit cycles associated with Hopf bifurcations of co-dimension 1 and 2. Through the integration of controllability principles, we endeavor to unravel the underlying mechanisms governing the manipulation of parameters to shape the occurrence and attributes of these periodic fluctuations. By examining how the behavior of infectious diseases changes in response to various control parameters, our study aims to provide a practical example of their application.
灭绝阴影下的Hopf分岔:通过致命突变和祖先感染下降与流行病动力学合作
本研究深入研究了在易感-感染-易感模型中控制Hopf和退化Hopf分叉的复杂领域。采用Braga的控制理论作为我们的基础,我们开始探索模型的动力学,特别关注控制输入影响下的平衡点。我们的具体目标是推导出与协维1和协维2的Hopf分岔相关的极限环。通过可控性原理的整合,我们努力揭示控制参数操纵的潜在机制,以塑造这些周期性波动的发生和属性。通过研究传染病的行为如何随着各种控制参数的变化而变化,我们的研究旨在提供一个实际应用的例子。
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
Biosystems
Biosystems 生物-生物学
CiteScore
3.70
自引率
18.80%
发文量
129
审稿时长
34 days
期刊介绍: BioSystems encourages experimental, computational, and theoretical articles that link biology, evolutionary thinking, and the information processing sciences. The link areas form a circle that encompasses the fundamental nature of biological information processing, computational modeling of complex biological systems, evolutionary models of computation, the application of biological principles to the design of novel computing systems, and the use of biomolecular materials to synthesize artificial systems that capture essential principles of natural biological information processing.
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