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Open AccessFeature PaperArticle

A Continuous Model of Marital Relations with Stochastic Differential Equations

1
Department of Mathematics, University of Texas at Arlington, 701 S. Nedderman Drive, Arlington, TX 76019, USA
2
IIMAS, Universidad Nacional Autónoma de México, Circuito Escolar 3000 Cd. Universitaria, Mexico City 04510, Mexico
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2021, 26(1), 3; https://doi.org/10.3390/mca26010003
Received: 4 November 2020 / Revised: 27 December 2020 / Accepted: 28 December 2020 / Published: 31 December 2020
(This article belongs to the Special Issue Mathematical Modelling in Engineering & Human Behaviour 2019)
Marital relations depend on many factors which can increase the amount of satisfaction or unhappiness in the relation. A large percentage of marriages end up in divorce. While there are many studies about the causes of divorce and how to prevent it, there are very few mathematical models dealing with marital relations. In this paper, we present a continuous model based on the ideas presented by Gottman and coauthors. We show that the type of influence functions that describe the interaction between husband and wife is critical in determining the outcome of a marriage. We also introduce stochasticity into the model to account for the many factors that affect the marriage and that are not easily quantified, such as economic climate, work stress, and family relations. We show that these factors are able to change the equilibrium state of the couple. View Full-Text
Keywords: mathematical model; marital relation; stochastic model mathematical model; marital relation; stochastic model
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MDPI and ACS Style

Chen-Charpentier, B.; Garza-Hume, C.E.; Jorge, M.d.C. A Continuous Model of Marital Relations with Stochastic Differential Equations. Math. Comput. Appl. 2021, 26, 3. https://doi.org/10.3390/mca26010003

AMA Style

Chen-Charpentier B, Garza-Hume CE, Jorge MdC. A Continuous Model of Marital Relations with Stochastic Differential Equations. Mathematical and Computational Applications. 2021; 26(1):3. https://doi.org/10.3390/mca26010003

Chicago/Turabian Style

Chen-Charpentier, Benito; Garza-Hume, Clara E.; Jorge, María d.C. 2021. "A Continuous Model of Marital Relations with Stochastic Differential Equations" Math. Comput. Appl. 26, no. 1: 3. https://doi.org/10.3390/mca26010003

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