We investigate the fractional order love dynamic model with time delay
for synergic couples in this manuscript. The quantitative analysis of
the model has been done where the asymptotic stability of the
equilibrium points of the model have been analyzed. Under the impact of
time delay, the Hopf bifurcation analysis of the model has been done.
The stability analysis of the model has been studied with the
reproduction number less than or greater than 1. By using Laplace
transformation, the analysis of the model has been done. The analysis
shows that the fractional order model with a time delay can sufficiently
improve the components and invigorate the outcomes for either stable or
unstable criteria. In this model, all unstable cases are converted to
stable cases under neighbourhood points. For all parameters, the
reproduction ranges have been described. Finally, to illustrate our
derived results numerical simulations have been carried out by using
MATLAB. Under the theoretical outcomes from parameter estimation, the
love dynamical system is verified.