Using spatial games to model dynamic evolutionary systems. Issue 3 (4th May 2018)

• Record Type: Journal Article
• Authors: Kuang, Yan; Ben-Arieh, David; Wu, Chih-Hang; Zhao, Songnian
• Is Part Of: Mathematical and computer modelling of dynamical systems. Volume 24:Issue 3(2018)
• Page Start: 296
• Page End: 313
• Publication Date: 2018-05-04
• Subjects: Spatial game -- dynamic evolutionary systems -- modelling -- predator and prey; Engineering -- Mathematical models -- Periodicals; Computer simulation -- Periodicals; 515.39
• DOI: 10.1080/13873954.2018.1437548
• Languages: English
• ISSNs: 1387-3954

Abstract

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.