复杂网络作为一门新兴学科,在信息技术中的internet网络,电力技术网络,移动电话网络,交通运输中的航线网、公路网,社会生活中的友谊网,自然界中的河流网,生物系统中的神经网、蛋白质网等领域得到广泛应用。最近十几年复杂网络的理论与技术得到了迅速发展,特别是在网络的拓扑结构方面。动态复杂网络这门课程主要介绍传染病动力学的历史背景,复杂网络的基础知识,网络传染病动力学建模的基本思想和发展动态,不同网络结构下传染病动力学建模与分析技术。
Live Online Classes in Design, Coding & AI — Small Classes, Free Retakes
2,000+ Free Courses with Certificates: Coding, AI, SQL, and More
Overview
AI, Data Science & Cloud Certificates from Google, IBM & Meta — 40% Off
One plan covers every Professional Certificate on Coursera. 40% off Coursera Plus Annual.
Unlock All Certificates
Syllabus
- Introduction to Complex Networks
- What is a Complex Network?
- Basic Concepts of Graphs
- Statistical Properties of Networks
- Weighted Networks
- Network and Complexity
- Real-world Systems
- Real-world System
- Graphical Representation of Network
- Graphical Representation of Network
- Advantages of Bipartite Networks
- Measurements and Biases
- Small world yed clustered
- Network Classes
- Heterogeneity and Heavy Tails
- Degree Distribution
- The Characteristics of Heterogeneous Networks
- The Complicated and The Complex
- Randomness and Network Models
- Randomness and Network Models
- Degree Distribution in ER Model
- Generalized Random Graphs
- Small-World Network
- Evoling Networks and the Non-Equilibrium Approach
- Power-Law Degree Distribution
- Copy and Duplication Models
- Optimization Model
- Epidemic spreading in population networks
- Epidemic spreading in population networks
- Compartmental models
- Compartmental models
- Linear approximation
- Epidemics in heterogeneous networks
- Immunization of Heterogeneous Networks
- Large Time Limit of Epidemic Outbreaks
- Models
- Phase transitions
- Finite size and correlations
- Examples
- Examples
- The Model
- Epidemic threshold
- Simulation results
- Discussion
- Networks in biology:from the cell to ecosystems
- Cell biology and networks
- Cell biology and networks
- Application cases-1
- Personalized Medicine
- Application cases-2
- Synthetic Biology
- Boolean networks and gene regulation
- Boolean networks and gene regulation
- Ecosystems and food webs
- Ecosystems and food webs
- 期末考试
Taught by
Xue Ling