STOCHASTIC SIRS MODEL DRIVEN BY LEVY NOISE-中国期刊网

摘要 ThepaperestablishestwostochasticSIRSmodelswithjumpstodescribethespreadofnetworkvirusbycyberwar,terrorismandothers.First,addingrandomperturbationsproportionallytoeachvariable,wegetthedynamicpropertiesaroundthepositiveequilibriumofthedeterministicmodelandtheconditionsforpersistenceandextinction.Second,givingarandomdisturbancetoendemicequilibrium,wegetastochasticsystemwithjumps.BymodifyingtheexistingLyapunovfunction,weprovethepositivesolutionofthesystemisstochasticallystable.

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STOCHASTIC SIRS MODEL DRIVEN BY LEVY NOISE

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STOCHASTIC SIRS MODEL DRIVEN BY LEVY NOISE

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