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Two-actor conflict with time delay: A dynamical model

Model Type
SES Library XPP model

Based on previous mathematical studies, the authors created a model to analyze the conflict dynamics between two actors. In this model, they modified previous nonlinear dynamical models by Liebovitch et al. (2008) and Liebovitch, Vallacher, & Michaels (2010) by considering nonlinear delayed response between two actors. The results of the model show that under certain initial and feedback conditions, a stable neutral equilibrium of conflict may destabilize for some critical values of time delay, and the two actors may evolve to new emotional states. 

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$$\begin{equation}\r \dot{x_i}=mx_i+C_ij anh[{\alpha x_j(t- au)]}\r \end{equation}\r \r $$
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