Using spatial games to model dynamic evolutionary systems

Yan Kuang, David Ben-Arieh, Chih-Hang Wu and Songnian Zhao

Mathematical and Computer Modelling of Dynamical Systems, 2018, vol. 24, issue 3, 296-313

Abstract: Modelling the dynamics of evolutionary competing species on a physical grid is a challenging modelling problem. This paper presents a novel modelling approach for synthesizing evolutionary dynamics of competing species using a spatial game perspective. This modelling approach describes the movement of players (‘species’ in our context) across a lattice. The model is based on a payoff function which controls the move likelihood and direction of the players (‘predators’ and ‘preys’). Using simulated results, the paper provides a comparison between the spatial game model and an existing predator-prey dynamic model. Finally, a case study is performed to illustrate the application of this formalism and validate the model.

Date: 2018
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DOI: 10.1080/13873954.2018.1437548

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