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

Khalid Ali Khan, B.S.N. Murthy, V. Madhusudanan, M.N. Srinivas and Anwar Zeb

Chaos, Solitons & Fractals, 2024, vol. 182, issue C

Abstract: 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.

Keywords: Social networking; Game addiction; Graded infection rates; Family education; Delay; Hopf bifurcation; Periodic solutions (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:182:y:2024:i:c:s0960077924003503

DOI: 10.1016/j.chaos.2024.114798

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