Publication Cover
Mathematical and Computer Modelling of Dynamical Systems
Methods, Tools and Applications in Engineering and Related Sciences
Volume 24, 2018 - Issue 3
351
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Using spatial games to model dynamic evolutionary systems

, , &
Pages 296-313 | Received 07 Apr 2016, Accepted 03 Feb 2018, Published online: 13 Feb 2018
 

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.

Acknowledgements

The authors would like to thank Dr. David Margolies, and Dr. James Nechols from the Department of Entomology at Kansas State University for providing the experimental data.

Disclosure statement

No potential conflict of interest was reported by the authors.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.