Related Experiment Video
Updated: Oct 8, 2025
09:02
Monitoring Influenza Virus Survival Outside the Host Using Real-Time Cell Analysis
Published on: February 20, 2021
3.1K
Multistability of a Two-Dimensional Map Arising in an Influenza Model
Yu-Jhe Huang1, Hsuan Te Huang1, Jonq Juang1
1Department of Applied Mathematics, National Yang Ming Chiao Tung University, Hsinchu, 300 Taiwan, ROC.
Journal of Nonlinear Science
|January 3, 2022
Summary
This study analyzes a seasonal influenza model with complex dynamics. We found that population heterogeneity can lead to unpredictable outcomes, including chaotic behavior, in the disease spread.
Area of Science:
- Mathematical modeling
- Epidemiology
- Dynamical systems
Background:
- Seasonal influenza models are crucial for understanding disease dynamics.
- Nonsmooth dynamical systems offer insights into complex biological processes.
Purpose of the Study:
- To analyze a novel nonsmooth two-dimensional map derived from a seasonal influenza model.
- To investigate the complex dynamics, including chaos and multistability, exhibited by this map.
Main Methods:
- Development and analysis of a nonsmooth two-dimensional map.
- Mathematical analysis of fixed points, periodic orbits, and chaotic attractors.
- Rigorous proof of coexistence of stable states.
Main Results:
- The map exhibits diverse dynamics: fixed points, periodic points, chaotic attractors, and multistability.
- Bistable states include coexistence of stable fixed points and period-three points, or period-three points and chaotic attractors.
- Rigorous proof of coexistence between stable equilibrium and stable period-three points was achieved for specific parameter ranges.
Conclusions:
- Population heterogeneity significantly drives the complexity and unpredictability of influenza dynamics.
- Complex dynamics are most pronounced at intermediate basic reproduction numbers with substantial seasonal state changes.
Keywords:
Chaotic attractorsMultistabilityNonsmoothly two-dimensional mapPeriodic pointsSeasonal influenza modelMore Related Videos
12:21A Mouse Model for the Transition of Streptococcus pneumoniae from Colonizer to Pathogen upon Viral Co-Infection Recapitulates Age-Exacerbated Illness
Published on: September 28, 2022
2.7K
07:55Generation of Escape Variants of Neutralizing Influenza Virus Monoclonal Antibodies
Published on: August 29, 2017
11.9K
Related Concept Videos
00:57Viral Recombination
23.9K
Cells are sometimes infected by more than one virus at once. When two viruses disassemble to expose their genomes for replication in the same cell, similar regions of their genomes can pair together and exchange sequences in a process called recombination. Alternatively, viruses with segmented genomes can swap segments in a process called reassortment.
23.9K
02:28Leaky Scanning
5.3K
During most eukaryotic translation processes, the small 40S ribosome subunit scans an mRNA from its 5' end until it encounters the first start AUG codon. The large 60S ribosomal subunit then joins the smaller one to initiate protein synthesis. The location of the translation initiation is largely determined by the nucleotides near the start codon as there may be multiple translation initiation sites present on the mRNA. Marilyn Kozak discovered that the sequence RCCAUGG (where R...
5.3K
01:20Compartment Models: Two-Compartment Model
6.2K
The two-compartment model divides the body into central and peripheral compartments to account for varying blood perfusion rates among organs and tissues, affecting drug distribution. The central compartment includes blood and highly perfused tissues with rapid drug distribution, while the peripheral compartment contains tissues with slower drug distribution. After a single IV bolus dose, the drug concentration is high in plasma and low in tissues. The drug distribution between compartments...
6.2K
00:36Viral Mutations
34.5K
A mutation is a change in the sequence of bases of DNA or RNA in a genome. Some mutations occur during replication of the genome due to errors made by the polymerase enzymes that replicate DNA or RNA. Unlike DNA polymerase, RNA polymerase is prone to errors because it is not capable of “proofreading” its work. Viruses with RNA-based genomes, like HIV, therefore accrue mutations faster than viruses with DNA-based genomes. Because mutation and recombination provide the raw material...
34.5K
01:23Stability of Equilibrium Configuration
561
Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
561
01:14Multicompartment Models: Overview
283
Multicompartment models are mathematical constructs that depict how drugs are distributed and eliminated within the body. They segment the body into several compartments, symbolizing various physiological or anatomical areas connected through drug transfer processes such as absorption, metabolism, distribution, and elimination.
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
283