MATLAB simulation codes for Online Game Addiction with Optimal Control
收藏Figshare2025-10-28 更新2026-04-08 收录
下载链接：
https://figshare.com/articles/dataset/MATLAB_simulation_codes_for_Online_Game_Addiction_with_Optimal_Control/30461930/1
下载链接
链接失效反馈官方服务：
资源简介：
Themathematicalmodelanalysisofthedynamicsofonlinegamingaddictionwithoptimalcontrolisthemainemphasisofthis work.Weprovedthatthedynamicalsystem’ssolutionisbounded,positiveandexists.Thelinearizationmethod,theCastillo ChavrztheoremandLaSalle’sinvariantprinciplewereusedtoestablishthestabilityofthesystem’stwoequilibriumpoints, whicharetheendemicandonlinegameaddiction-freeequilibriumpoints.Thebasicreproductionnumber(R0)ofthemodel wascalculatedusingtheprincipleofthenext-generationmatrix,andthesensitivityindicesofR0 tothemodelparameters wereinvestigated.Additionally,bifurcationanalysiswasperformedtoverifythebackwardandforwardbifurcations,andfrom theanalysis,weobservedthatthemodelsystemexhibitsforwardbifurcationatR0=1.Theoptimalcontrolproblemofthe modelwasanalyzedusingPontryagin’smaximumprinciple,andthecharacterizationoftheoptimalcontrolwasconstructed. Numericalsimulationswereperformedtoenhancetheaccuracyoftheanalyticalresults.Thenumericalsimulationofsensitivityanalysis,decreasingthecontactratewithaddicted(β1)andincompletelyrecovered(β2)individuals,theaddictionrate(δ),therelapserate(ω)andtheincompleterecoveryrateoftreatedindividuals(τ)decreasesthereproductionnumber.Usingoptimal control,thecombinedstrategyofminimizingthecontactratewithaddictedindividualsandtherelapserateofincompletely recoveredindividualsminimizestheexposedandaddictedindividualsaswellastheassociatedcost.
提供机构：
Kaleb, Iyasu
创建时间：
2025-10-28
