International Journal of Modern Education and Computer Science (IJMECS)

ISSN: 2075-0161 (Print), ISSN: 2075-017X (Online)

Published By: MECS Press

IJMECS Vol.4, No.5, Jun. 2012

Dynamics of Love and Happiness: A Mathematical Analysis

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Dharna Satsangi,Arun K. Sinha

Index Terms

Differential equations, Human behavior, Rowth-Hurwitz Criteria


The human behavior is a combination of several feelings. There are two cases whether a person likes other individual or not. The liking of an individual leads to love and finally happiness. The feelings of love may be in different forms but here considered to be partners' love. There are three aspects of love for the partner: forgetting process (oblivion), the pleasure of being loved (return), and the reaction to the appeal of the partner (instinct). Along with that the appeals and the personalities of the two individuals do not vary in time. This model proves that if the geometric mean reactive-ness to love is smaller than the geometric mean forgetting coefficient and the system is asymptotically stable if the ratio of appeals is greater than the reciprocal of ratio of mutual intensiveness coefficient.

Cite This Paper

Dharna Satsangi,Arun K. Sinha,"Dynamics of Love and Happiness: A Mathematical Analysis", IJMECS, vol.4, no.5, pp.31-37, 2012.


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