# 701-1708-00L Infectious Disease Dynamics

Semester | Spring Semester 2019 |

Lecturers | S. Bonhoeffer, R. D. Kouyos, R. R. Regös, T. Stadler |

Periodicity | yearly recurring course |

Language of instruction | English |

Abstract | This course introduces into current research on the population biology of infectious diseases. The course discusses the most important mathematical tools and their application to relevant diseases of human, natural or managed populations. |

Objective | Attendees will learn about: * the impact of important infectious pathogens and their evolution on human, natural and managed populations * the population biological impact of interventions such as treatment or vaccination * the impact of population structure on disease transmission Attendees will learn how: * the emergence spread of infectious diseases is described mathematically * the impact of interventions can be predicted and optimized with mathematical models * population biological models are parameterized from empirical data * genetic information can be used to infer the population biology of the infectious disease The course will focus on how the formal methods ("how") can be used to derive biological insights about the host-pathogen system ("about"). |

Content | After an introduction into the history of infectious diseases and epidemiology the course will discuss basic epidemiological models and the mathematical methods of their analysis. We will then discuss the population dynamical effects of intervention strategies such as vaccination and treatment. In the second part of the course we will introduce into more advanced topics such as the effect of spatial population structure, explicit contact structure, host heterogeneity, and stochasticity. In the final part of the course we will introduce basic concepts of phylogenetic analysis in the context of infectious diseases. |

Lecture notes | Slides and script of the lecture will be available online. |

Literature | The course is not based on any of the textbooks below, but they are excellent choices as accompanying material: * Keeling & Rohani, Modeling Infectious Diseases in Humans and Animals, Princeton Univ Press 2008 * Anderson & May, Infectious Diseases in Humans, Oxford Univ Press 1990 * Murray, Mathematical Biology, Springer 2002/3 * Nowak & May, Virus Dynamics, Oxford Univ Press 2000 * Holmes, The Evolution and Emergence of RNA Viruses, Oxford Univ Press 2009 |

Prerequisites / Notice | Basic knowledge of population dynamics and population genetics as well as linear algebra and analysis will be an advantage. |