Graduate Course 2019

Course 7760800 of Graduate School of Human Culture, Nara Women's University

Dr. Fugo Takasu (Dept. Environmental Science, NWU)

<Term and Lecture Room> First quater-semester, every Monday at 3rd slot (13:00-13:30) at G303 and G301

<Aim>In this course we aim to 1) learn basic mathematical models of population dynamics and 2) experience numerical calculation of these models, and 3) learn to extend these simple models to stochastic dynamics and 4) implement these stochastic models to explore the behaivor.

Prospective students are assumed to have good knowledge of basic calculus and experience in C programming. In the first half of lecture, I give explanation of topics and in the second half we implement the topics using C language.

The course content can be subject to change according to the skill of students.

Lecture is given in English on request. Otherwise in Japanese.

Mathematica notebooks used in the course 2019:

• Random numbers in Mathematica
• Immigration-emigeration models
• Birth-death models
• The logistic model
• Examples and exercises

<Plan> Reference is ready in pdf.

• Course overview Ref0
• Generating random numbers Ref1, Ref1c
• Immigration-emigration models Ref2, Ref2a, Ref3, Ref3a, Ref4, Ref5
• Birth-death models Ref6, Ref6a, Ref7, Ref7a, Ref8
• Logistic growth models Ref9, Ref9a, Ref10, Ref11, Ref11a, Ref11b

takasu@es.nara-wu.ac.jp, takasu@ics.nara-wu.ac.jp

Last update: June 3, 2019