Population Dynamics I
Code
10853
Academic unit
Faculdade de Ciências e Tecnologia
Department
Departamento de Matemática
Credits
3.0
Teacher in charge
Fábio Augusto da Costa Carvalho Chalub
Total hours
56
Teaching language
Português
Objectives
Students will be introduced into the first models of population dynamics. We assume working knowledge in calculus, differential equations, linear algebra and combinarorics. After the course, students will be able to follow Population Dynamics II.
More advanced topic will be introduced whenever necessary.
Prerequisites
We assume working knowledge in calculus, differential equations, linear algebra and combinarorics.
Subject matter
1. Fibonacci sequence
2. Hardy-Weinberg law
3. Fisher''s Theorem
4. Galton process
5*. Ewens'' sampling formula
5*. Leslie matrices
6*. SIR model
7.Lotka-Volterra dynamics
* - Depending on students and teacher''s interests.
Bibliography
1. Bacaër, Nicolas A short history of mathematical population dynamics. Springer-Verlag London, Ltd., London.
2. Britton, Nicholas F. Essential Mathematical Biology. Springer Undergraduate Mathematics Series, 2003.
3. Chalub, Fabio. Dinâmica Populacional: uma abordagem matemática (classnotes).
4. Hartle, Daniel L. and Clark, Andrew G. . Principles of Population Genetics. Sinauer, Massachussets, 2007.
5. Stewart, I. The Mathematics of Life (2011) Basic Books.
Teaching method
Lectures and homework.
Evaluation method
3 homeworks with problems.