报告题目:Asymptoticsolutionsandinverseorderproblemsforseveralfractional-orderepidemicsystemsbasedonnon-Markovianprocess
报告摘要:Thistalkdealswithnumericalsimulationsandinverseorderproblemsforseveralkindsoffractional-orderepidemicsystemsbasedonnon-Markovianprocessandasymptoticsolution.Themathematicalmodelsarederivedfromstatisticalprocesseswherethewaitingtimeofaparticleleavingacompartmentfollowspower-lawdecaydistribution.Theasymptoticsolutiontoafractional-orderepidemicmodelisderivedbyusingtheAdomiandecompositionmethod,andnumericalsimulationsarepresentedtorevealsomedynamicbehaviorsofthesystem.Inverseproblemofidentifyingthefractionalordercanbetransformedtoanonlinearequationbasedontheasymptoticsolution,andtheuniquenessisprovedundersuitableconditions.
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