Dynamics of a stochastic multi-strain SIS epidemic model driven by Lévy noise

Extinction and persistence of a stochastic SICA epidemic model with standard incidence rate for HIV transmission

“…In addition, in this paper, we only consider the effect of white noise. In fact, there are some random perturbations which cannot be modeled by white noises, for example, the telephone and Lévy noise, see [23][24][25][26] and the references therein. On the other hand, there have also been extensive numerical works to establish the positive property of numerical solutions for certain physical models (see [27][28][29]).…”

Dynamical Behavior of a Stochastic Delayed One-Predator and Two-Mutualistic-Prey Model with Markovian Switching and Different Functional Responses

“…At the same time, beside white noise and telegraph noise, Lévy noise is inevitable in the nature. And there are some researches about stochastic population models with Lévy noise; please see [31][32][33]. Therefore, the above threespecies models with Lévy noise deserve further investigation and we may consider them in the future.…”

An averaging principle for stochastic switched systems with Lé vy noise

“…Due to the merits of Lévy process, Lévy noise as formal derivative of Lévy process has been widely used in various applications including mathematical finance, quantum physics, and mathematical biology. [14][15][16] In electrical power, high-voltage power lines are often exposed to abrupt environment variation, 13,17 which is more appropriate to be described by Lévy noise. For real genetic systems, because intermittent bursting nonthermal fluctuation tends to obey a heavy-tailed distribution, Lévy noise is more suitable for this case.…”