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Harbin Engineering University

复杂网络与动力系统

Harbin Engineering University via XuetangX

Overview

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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。



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

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