This paper considers a general stochastic SIR epidemic model driven by multidimensional Lévy jump process with heavy-tailed increments and possible correlation between noise components. In this framework, we derive new sufficient conditions for disease extinction persistence in the mean. Our method differs from previous approaches use of Kunita’s inequality instead Burkholder–Davis–Gundy contin...

We consider additive functionals of stationary Markov processes and show that under Kipnis–Varadhan type conditions they converge in rough path topology to a Stratonovich Brownian motion, with correction the Lévy area can be described terms asymmetry (nonreversibility) underlying process. apply this abstract result three model problems: First, we study random walks conductances annealed law. If...

Meloidogyne incognita (Kofoid and White) Chitwood has been separated into four races (R l -R4) based on the ability of different populations to parasitize 'NC95' tobacco and 'Deltapine 16' cotton (7). Since the designation of races within this species, several workers have at tempted to characterize them on the basis of reproduction on a common host. Araujo et al. (1) compared the reproduction ...

In the past decades, quantitative study of different disciplines such as system sciences, physics, ecological sciences, engineering, economics and biological sciences, have been driven by new modeling known as stochastic dynamical systems. This paper aims at studying these important dynamical systems in the framework of G-Brownian motion and G-expectation. It is demonstrated that, under the con...

The operators obtained by taking conditional expectation of continuous time martingale transforms are studied, both on the circle T and on R". Using a Burkholder-Gundy inequality for vector-valued martingales, it is shown that the vector formed by any number of these operators is bounded on LP(R"), 1 < p < oo, with constants that depend only on p and the norms of the matrices involved. As a cor...

introduction: this article intends to compare information literacy of international branch students with nursing students of jundi shapur university of medical sciences – abadan branch. methods: this research is of survey-descriptive type which has been conducted using a questionnaire to collect the data. the population studied included 222 students studying at the international branch and nurs...