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

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

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.

Suggested Citation

  • Khan, Khalid Ali & Murthy, B.S.N. & Madhusudanan, V. & Srinivas, M.N. & Zeb, Anwar, 2024. "Hopf-bifurcation of a two delayed social networking game addiction model with graded infection rate," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    • Handle: RePEc:eee:chsofr:v:182:y:2024:i:c:s0960077924003503
    DOI: 10.1016/j.chaos.2024.114798
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    References listed on IDEAS

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    1. Cao, Jinde & Guerrini, Luca & Cheng, Zunshui, 2019. "Stability and Hopf bifurcation of controlled complex networks model with two delays," Applied Mathematics and Computation, Elsevier, vol. 343(C), pages 21-29.
    2. Cao, Yang, 2019. "Bifurcations in an Internet congestion control system with distributed delay," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 54-63.
    3. Yelä°Z Karaca & Mati Ur Rahman & Mohammed A. El-Shorbagy & Dumitru Baleanu, 2023. "Multiple Solitons, Bifurcations, Chaotic Patterns And Fission/Fusion, Rogue Waves Solutions Of Two-Component Extended (2+1)-D Itã” Calculus System," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(09), pages 1-17.
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