同宿轨道
同宿分支
博格达诺夫-塔肯分岔
双稳态
简并能级
鞍结分岔
分叉
免疫系统
跨临界分岔
先天免疫系统
生物
物理
数学
分叉理论的生物学应用
霍普夫分叉
控制理论(社会学)
免疫学
计算机科学
非线性系统
控制(管理)
量子力学
人工智能
作者
Shujing Shi,Jicai Huang,Jing Wen,Shigui Ruan
标识
DOI:10.1142/s0218127420502521
摘要
It has been reported that COVID-19 patients had an increased neutrophil count and a decreased lymphocyte count in the severe phase and neutrophils may contribute to organ damage and mortality. In this paper, we present the bifurcation analysis of a dynamical model for the initial innate system response to pulmonary infection. The model describes the interaction between a pathogen and neutrophilis (also known as polymorphonuclear leukocytes). It is shown that the system undergoes a sequence of bifurcations including subcritical and supercritical Bogdanov–Takens bifurcations, Hopf bifurcation, and degenerate Hopf bifurcation as the parameters vary, and the model exhibits rich dynamics such as the existence of multiple coexistent periodic oscillations, homoclinic orbits, bistability and tristability, etc. Numerical simulations are presented to explain the theoretical results.
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