Hopf-bifurcation of a two delayed social networking game addiction model with graded infection rate

To study the current trend in the society of online gaming addiction. A two delayed social networking game addiction model with categorized contagion rate is presented in this paper. The influence of the two delays and sufficient prerequisites for the reality of Hopf bifurcation are explored by means of involving the feasible combos of the double delays as a bifurcation limitation. Furthermore, specific formulae for deciding direction of the Hopf bifurcation and permanence of the bifurcating periodic options are obtained by exhausting normal form theory and centre manifold theory. To end with, some numerical replications are conceded out with the assist of MAT LAB software program in directive to interpretation for the approve of theoretical results. •A two delayed social networking game addiction model.•Sufficient prerequisites for the reality of Hopf bifurcation are explored.•Specific formulae for deciding direction of the Hopf bifurcation and permanence of the bifurcating periodic options are obtained.•Numerical replications are conceded.