![]() This situation design and uses scientific means to study the dynamics of marital relationships and their behavioural features to check excesses in marriage and to promote stability. Urbanization and modernization have effects on marital relationships in Nigeria which led to high divorce rate among legitimate couples prompting unstable environment. Dharna and Arun (2012) in their work reported that to the psychologists it is not difficult to study human behaviour but it is not easy studying it to accuracy. They suggested that, the emotional interaction of two individuals must be considered in the process of modelling, that is, emotion of a particular individual with respect to another cannot increase infinitely and they assumed that emotion is proportional to x 1 x 2. Dharna and Arun (2012), discovered Rinaldi's model does not consider some parameters like the effect of synergism, adaptation and learning after living together (in the case of arranged marriages in India, which have succeeded over centuries). In this model, the tensions and emotions involved in the social life of human being cannot be considered in a simple model, therefore only the interactions between the two individuals are modelled, while the rest of the world is kept frozen and does not participate explicitly in the structure of love dynamics (Rinaldi 1996). Advanced approach of such applications opens the path to foresee the love relation after observing the human personality. Numerical simulations are made with the Atanagana-Toufik scheme and fractal fractional operator to measure the emotions and love relationships between two peoples. Also verify the local and global stability of the fractional order system. The System is analyzed by using the fixed point theory technique, the existence and uniqueness of system are proved as well as analyzed qualitatively. Its ability is to show constantly changed chaotic behavior of two individuals in the relationship, the model was previously expressed in love triangles. Model is treated with advanced fractional operators like Atangana-Baleanu Caputo sense, Atanagana-Toufik scheme, and fractal fractional for dynamical behavior of real love story. The main purpose of the present paper is to develop and analyze fractional order dynamical model describing the change in behavior exhibited by a couple in a passionate relationship of love.
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