A hyperbolic model of spatial evolutionary game theory

Anna Lisa Amadori; Astridh Boccabella; Roberto Natalini

doi:10.3934/cpaa.2012.11.981

Article Contents

2012, Volume 11, Issue 3: 981-1002. Doi: 10.3934/cpaa.2012.11.981

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A hyperbolic model of spatial evolutionary game theory

1.
Dipartimento di Scienze Applicate - Università di Napoli "Parthenope", Via A. De Gasperi, 5 - 80133 Napoli
2.
Dipartimento di Scienze di Base e Applicate per l’Ingegneria (SBAI), Università degli Studi “Sapienza” di Roma
3.
Istituto per le Applicazioni del Calcolo “Mauro Picone”, Consiglio Nazionale delle Ricerche, c/o Department of Mathematics, University of Rome “Tor Vergata”, Via della Ricerca Scientifica, 1; I-00133 Roma

Received: September 30, 2010

Revised: January 31, 2011

Published: April 2012

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Abstract

We present a one space dimensional model with finite speed of propagation for population dynamics, based both on the hyperbolic Cattaneo dynamics and the evolutionary game theory. We prove analytical properties of the model and global estimates for solutions, by using a hyperbolic nonlinear Trotter product formula.

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Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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References

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