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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/4257 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/4257 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/4257 archive 351 disk0/00/00/49/59 2016-01-15 02:07:53 2021-08-27 17:15:45 2016-01-15 02:07:53 monograph show 2 Rinaldi S. 7286 pub iis_mod iis_sys prog_dyn This paper proposes a minimal model composed of two ordinary differential equations to describe the dynamics of love between two individuals. The equations take into account three mechanisms of love growth and decay: the pleasure of being loved (return), the reaction to the partner's appeal (instinct), and the forgetting processes (oblivion). Under suitable assumptions on the behavior of the individuals, the model turns out to be a positive linear system enjoying, as such, a number of remarkable properties, which are in agreement with common wisdom on the argument. These properties are used to explore the consequences that individual behavior can have on the population structure. The main result along this line is that individual appeal is the driving force that creates order in the population. Possible extensions of this theory of linear love dynamics are briefly discussed. 1996-06 published WP-96-068 WP-96-068 10 253 public working_paper IIASA, Laxenburg, Austria 26 FALSE info:eu-repo/semantics/book