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Time delays in dyadic interactions on the example of relations between optimists and pessimists
Author(s) -
Foryś Urszula,
Jankowska Natalia,
Cytlak Katarzyna,
Piotrowska Monika Joanna
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6732
Subject(s) - pessimism , optimism , context (archaeology) , nonlinear system , mathematics , function (biology) , inertial frame of reference , romance , mathematical analysis , statistical physics , mathematical economics , social psychology , classical mechanics , psychology , epistemology , geology , physics , philosophy , paleontology , quantum mechanics , evolutionary biology , psychoanalysis , biology
In this paper, a delayed model of interactions between two actors in the context of their internal optimism and pessimism is studied. Considered model is based on the model proposed earlier in the context of romantic relationships. With the use of the system of nonlinear delay differential equations, we describe the change of emotions of two actors. Delays in the inertial component and in the influence function are introduced, and their influence on the system dynamics is investigated focusing on most beneficial meetings for actors. Finally, the modified systems are compared with the nondelayed case, and results are illustrated by numerical solutions for particular investigated scenarios.