Global stability of a novel nonlinear diffusion online game addiction model with unsustainable control
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 $ C_0 $-semigroup and differential inclusion. Simultaneously, we study the global asymptotic stability of steady states of the...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-09-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20221137?viewType=HTML |
| _version_ | 1798020682381000704 |
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| author | Kaihong Zhao |
| author_facet | Kaihong Zhao |
| author_sort | Kaihong Zhao |
| collection | DOAJ |
| description | 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 $ C_0 $-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. |
| first_indexed | 2024-04-11T17:01:07Z |
| format | Article |
| id | doaj.art-584f9b4acd874158b11894371636ea7d |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-11T17:01:07Z |
| publishDate | 2022-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-584f9b4acd874158b11894371636ea7d2022-12-22T04:13:08ZengAIMS PressAIMS Mathematics2473-69882022-09-01712207522076610.3934/math.20221137Global stability of a novel nonlinear diffusion online game addiction model with unsustainable controlKaihong Zhao0Department of Mathematics, School of Electronics & Information Engineering, Taizhou University, Zhejiang, Taizhou 318000, ChinaIn 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 $ C_0 $-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. https://www.aimspress.com/article/doi/10.3934/math.20221137?viewType=HTMLonline game addiction modelreaction-diffusionunsustainable controlglobal asymptotic stability |
| spellingShingle | Kaihong Zhao Global stability of a novel nonlinear diffusion online game addiction model with unsustainable control AIMS Mathematics online game addiction model reaction-diffusion unsustainable control global asymptotic stability |
| title | Global stability of a novel nonlinear diffusion online game addiction model with unsustainable control |
| title_full | Global stability of a novel nonlinear diffusion online game addiction model with unsustainable control |
| title_fullStr | Global stability of a novel nonlinear diffusion online game addiction model with unsustainable control |
| title_full_unstemmed | Global stability of a novel nonlinear diffusion online game addiction model with unsustainable control |
| title_short | Global stability of a novel nonlinear diffusion online game addiction model with unsustainable control |
| title_sort | global stability of a novel nonlinear diffusion online game addiction model with unsustainable control |
| topic | online game addiction model reaction-diffusion unsustainable control global asymptotic stability |
| url | https://www.aimspress.com/article/doi/10.3934/math.20221137?viewType=HTML |
| work_keys_str_mv | AT kaihongzhao globalstabilityofanovelnonlineardiffusiononlinegameaddictionmodelwithunsustainablecontrol |