A model for the problem of the cooperation/competition between infinite continuous species

A model for the problem of the cooperation/competition between infinite continuous species

In this paper we consider a particular type of differential equation that we can consider as a simple model for the problem of the cooperation/competition of infinite species. In this model each of the species meets each of the other species with a degree of competition or cooperation and their arra...

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Veröffentlicht in:Ricerche di matematica 2013-06, Vol.62 (1), p.139-153
Hauptverfasser: Le, Ut V., Pascali, E.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Geometry
Mathematics
Mathematics and Statistics
Numerical Analysis
Probability Theory and Stochastic Processes
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Zusammenfassung:In this paper we consider a particular type of differential equation that we can consider as a simple model for the problem of the cooperation/competition of infinite species. In this model each of the species meets each of the other species with a degree of competition or cooperation and their arrangements affect the evolution of the species. A first result of the existence of a unique, local-in-time, solution is given.
ISSN:0035-5038
1827-3491
DOI:10.1007/s11587-013-0148-6