Biomathematics and Game Theory 1000-1L12BTG
Mathematical models of interacting populations and models of
individuals interacting within one single population will be proposed
and discussed. In particular, the equilibrium states of such
populations, their stability and local dynamics of the populations
around the equilibria will be studied. We focus on models of various
biological and social phenomena, including processes of tumor growth,
reactions of immunological systems, social dilemmas and their
solutions. As mathematical tools, the differential and difference
equations as well as the strategic and coalitional games will be
applied, however we do not exclude other approach to mathematical
modelling. After a series of introductory lectures the participants
will be asked to choose one of the proposed topics. The work on the
chosen topic will be individual or in two--person groups.
Type of course
Course coordinators
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Bibliography
1. J. D. Muray, Wprowadzenie do biomatematyki, Warszawa PWN, 2006.
2. U. Foryś, Matematyka w biologii, Warszawa WNT, 2005.
3. J. Uchmański, Klasyczna ekologia matematyczna, Warszawa, PWN 1992.
4. L. Edelstein-Keshet, Mathematical Biology, New York, 1988
5. M. Malawski, A. Wieczorek, H. Sosnowska, Konkurencja i kooperacja. Teoria gier w ekonomii i naukach społecznych, PWN, 1997.
6. P. D. Straffin, Teoria Gier, Scholar 20017.
7. M. J. Osborne, A. Rubinstein, A Course in Game Theory, MIT Press 2004
8. H. Gintis, Game Theory Evolving, Princeton Press 2000
Additional information
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