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Wave features of a hyperbolic prey-predator model

2010; Wiley; Volume: 33; Issue: 12 Linguagem: Inglês

10.1002/mma.1270

1099-1476

Elvira Barbera, Carmela Curró, Giovanna Valenti,

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Mathematical Methods in the Applied SciencesVolume 33, Issue 12 p. 1504-1515 Research Article Wave features of a hyperbolic prey–predator model Elvira Barbera, Elvira Barbera Di.S.I.A., University of Messina, c/da di Dio, S. Agata, 98166 Messina, ItalySearch for more papers by this authorCarmela Currò, Carmela Currò Department of Mathematics, University of Messina, Contrada Papardo, Salita Sperone, 31, 98166 Messina, ItalySearch for more papers by this authorGiovanna Valenti, Corresponding Author Giovanna Valenti valenti@ingegneria.unime.it Di.S.I.A., University of Messina, c/da di Dio, S. Agata, 98166 Messina, ItalyDi.S.I.A., University of Messina, c/da di Dio, S. Agata, 98166 Messina, Italy===Search for more papers by this author Elvira Barbera, Elvira Barbera Di.S.I.A., University of Messina, c/da di Dio, S. Agata, 98166 Messina, ItalySearch for more papers by this authorCarmela Currò, Carmela Currò Department of Mathematics, University of Messina, Contrada Papardo, Salita Sperone, 31, 98166 Messina, ItalySearch for more papers by this authorGiovanna Valenti, Corresponding Author Giovanna Valenti valenti@ingegneria.unime.it Di.S.I.A., University of Messina, c/da di Dio, S. Agata, 98166 Messina, ItalyDi.S.I.A., University of Messina, c/da di Dio, S. Agata, 98166 Messina, Italy===Search for more papers by this author First published: 08 July 2010 https://doi.org/10.1002/mma.1270Citations: 12AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Abstract A hyperbolic predator–prey model is proposed within the context of extended thermodynamics. The nature of the steady state solutions for the uniform and non-uniform perturbations are analyzed. The existence of smooth traveling wave-like solutions, related to the invasion of the predator population into a prey-only state is discussed. Validation of the model in point is also accomplished by searching for numerical solutions of the system, which also points out limit cycles in the populations. Copyright © 2010 John Wiley & Sons, Ltd. Citing Literature Volume33, Issue12August 2010Pages 1504-1515 RelatedInformation