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Ryszard Rudnicki (Institute of Mathematics, Polish Academy of Sciences)
Models of population dynamics and their applications in genetics.
See schedule of the course.
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Abstract:
To familiarize phd-students with principles of modelling. Presentation of
models of population dynamics
with emphasis on applications in genetics. Introduction of some mathematical
methods to study models.
References:
1. Ryszard R. Rudnicki, Dynamika populacyjna.
2. F. Brauer i C. Castillo-Chavez, Mathematical Models in Population Biology
and Epidemiology, Texts in appl. Math. 40, Springer, New York, 2001.
3. F.M. Scudo i J.R. Ziegler (eds.), The Golden Age of Theoretical Ecology:
1923 - 1940,
Lecture Notes in Biomathematics, 22, Berlin-Heidelberg-New York,
Springer-Verlag, 1978.
4 H. R. Thieme, Mathematics in Population Biology,
Princeton University Press, Princeton and Oxford, 2003.
5. J.D. Murray, Wprowadzenie do biomatematyki, PWN, Warszawa 2006.
6. M. Farkas, Dynamical models in biology, Academic Press, Inc., San Diego
2001.
7. G.F. Webb, Theory of Nonlinear Age-Dependent Population Dynamics, Marcel
Dekker, 1985.
8. R. Rudnicki (eds.), Mathematical Modelling of Population Dynamics, Banach
Center Publication,
Vol. 63, Warszawa 2004.
9. R. Rudnicki, J. Tiuryn and D. Wójtowicz, A model for the evolution of
paralog families in genomes,
J. Math. Biology 53 (2006), 759-770.
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