# Stochastic population models, spring 2015

### News

Exam dates: see below

Note: the exams are open book exams, i.e., you may use your lecture notes

Supplement to lecture notes of chapter 11 now available

### Lecturer

### Scope

10 sp.

### Type

Advanced studies

### Prerequisites

Some acquaintance with ordinary differential equations, complex analysis and probability theory would come in handy.

### Lectures

Weeks 3-9 and 11-18, Tuesday 14-16 in room B321 and Thursday 14-16 in room B322. Two hours of exercise classes per week.

Easter Holiday 2.-8.4.

### Exams

Two possibilities – choose one:

(1) **Wednesday 29 April**; time 14-17; register with lecturer.

(2) **Wednesday 20 May**; time 12-16; official registration 13 April - 4 May.

### Bibliography

2. Fluctuating parameters in single-ODE models

3. Delay differential equations (DDEs)

4. Fluctuating parameters in single-DDE models

5. Stochastic differential equations (SDEs)

6. Fluctuation statistics of stationary processes

7. Population models with stochastic parameters

8. Birth-death processes in small populations

11. Multi-type birth death processes

11-S. Supplement to chapter 11

(These notes are virtually the same as of the course given in 2013. At some time I hope to post an updated version with the errors removed ...)

### Registration

Did you forget to register? What to do?

### Exercises

Group | Day | Time | Place | Instructor |
---|---|---|---|---|

1. | Wednesday | 14-16 | CK111 | Helene Weigang |

**Solution to the Exercises** (if you find typos please send an email to Helene)

Exercises 10-12 Solutions (typo in Ex 10 fixed)

Mathematica Notebook Exercise 19