title: Multidimensional extended spatial evolutionary games.
abstract: The goal of this paper is to study the classical hawk-dove model using mixed spatial evolutionary games (MSEG). In these games, played on a lattice, an additional spatial layer is introduced for dependence on more complex parameters and simulation of changes in the environment. Furthermore, diverse polymorphic equilibrium points dependent on cell reproduction, model parameters, and their simulation are discussed. Our analysis demonstrates the sensitivity properties of MSEGs and possibilities for further development. We discuss applications of MSEGs, particularly algorithms for modelling cell interactions during the development of tumours.
authors: Silesian University of Technology, Department of Automatic Control, Control 44-100 Gliwice, ul. Akademicka 16, Gliwice, Poland. Electronic address: krzeslak.michal@gmail.com.
authors: Michał
authors: M
authors: Krześlak
authors: Silesian University of Technology, Department of Automatic Control, Control 44-100 Gliwice, ul. Akademicka 16, Gliwice, Poland. Electronic address: andrzej.swierniak@polsl.pl.
authors: Andrzej
authors: A
authors: Świerniak
mesh_terms: D000465:Algorithms; D005075:Biological Evolution; D002455:Cell Division; D008954:Models, Biological
keywords: Biomathematical modeling; Cellular automata; Evolutionary games; Polymorphism; Sensitivity