Quadratic stochastic operators as a tool in modelling the dynamics of a distribution of a population trait

Bartoszek, Krzysztof,1984-Mathematical Sciences, Chalmers University of Technology and the University of Gothenburg, Sweden (author)

Svenska institutet supported this work through their Östersjösamarbetet scholarship program.
Supported by the Centre for Theoretical Biology at the University of Gothenburg, Svenska Institutets Östersjösamarbete schoralship nr. 00507/2012, Stiftelsen för Vetenskaplig Forskning och Utbildning i Matematik (Foundation for Scientific Research and Education in Mathematics), Knut and Alice Wallenbergs travel fund, Paul and Marie Berghaus fund, the Royal Swedish Academy of Sciences, and Wilhelm and Martina Lundgrens research fund.
Quadratic stochastic operators can exhibit a wide variety of asymptotic behaviours and these have been introducedand studied recently. In the present work we discuss biological interpretations that can be attributedto them. We also propose a computer simulation method to illustrate the behaviour of iterates of quadratic stochastic operators.

Pulka, MalgorzataDepartment of Probability and Biomathematics, Gdánsk University of Technology, Gdánsk, Poland (author)
Mathematical Sciences, Chalmers University of Technology and the University of Gothenburg, SwedenDepartment of Probability and Biomathematics, Gdánsk University of Technology, Gdánsk, Poland (creator_code:org_t)

In:Proceedings of the XIX National Conference on Applications of Mathematics in Biology and Medicine, s. 19-248360253862

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NATURAL SCIENCES: NATURAL SCIENCES; and Mathematics; and Probability Theo ...

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