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Research Article | Open Access

Global stability of a novel nonlinear diffusion online game addiction model with unsustainable control

Department of Mathematics, School of Electronics & Information Engineering, Taizhou University, Zhejiang, Taizhou 318000, China
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Abstract

In this paper, we build a novel nonlinear diffusion online game addiction model with unsustainable control. The existence and boundedness of a solution are investigated by a C0-semigroup and differential inclusion. Simultaneously, we study the global asymptotic stability of steady states of the model. Finally, a concrete example is theoretically analyzed and numerically simulated.

Keywords

online game addiction modelreaction-diffusionunsustainable controlglobal asymptotic stability
CLC number: 35K57, 35B40, 34K09, 92D25

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AIMS Mathematics
Volume 7 Issue 12,
December 2022
Pages 20752-20766
DOI: 10.3934/math.20221137

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Cite this article:
Zhao K. Global stability of a novel nonlinear diffusion online game addiction model with unsustainable control. AIMS Mathematics, 2022, 7(12): 20752-20766. https://doi.org/10.3934/math.20221137

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Received: 19 June 2022
Revised: 31 August 2022
Accepted: 12 September 2022
Published: 15 December 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)