Author(s): Easlick T; Sun W;

We propose a unified stochastic SIR model driven by Lévy noise. The model is structural enough to allow for time-dependency, nonlinearity, discontinuity, demography, and environmental disturbances. We present concise results on the existence and uniqueness of positive global solutions and investigate the extinction and persistence of the novel model. Exam ...

Article GUID: 39027117

Author(s): Mu L; Sun W; Zhang Y; Feng N; Xue X; Li Q;

In industrial process monitoring, it is always a challenging and practical problem to analyze the causes of the system fault by isolating true fault variables from vast amounts of process data. However, the phenomenon of smearing effect occurs by using the traditional contribution analysis-based isolation methods since the defined isolation indices of dif ...

Article GUID: 38862336

Author(s): Sun P; Hu ZC; Sun W;

Let a, ß be positive real numbers and let Xα ,β be a Gamma random variable with shape parameter a and scale parameter ß. We study infimum values of the function (α ,β )↦ P{Xα ,β ≤ κ E[Xα ,β ]} for any fixed κ >0 and the function (α ,β )↦ P{|Xα ,β -E[Xα ,β ]| ...

Article GUID: 38261930