313 research outputs found

    Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation

    Get PDF
    In this paper, we consider a non-autonomous stochastic Lotka-Volterra competitive system dxi(t) = xi(t)[(bi(t)Ā” nPj=1aij (t)xj (t))dt+Ā¾i(t)dBi(t)], where Bi(t) (i = 1; 2; Ā¢ Ā¢ Ā¢ ; n) are independent standard Brownian motions. Some dynamical properties are discussed and the suĀ±cient conditions for the existence of global positive solutions, stochastic permanence, extinction as well as global attractivity are obtained. In addition, the limit of the average in time of the sample paths of solutions is estimated

    Popular music and school music education: Chinese students' preferences and dilemmas in Shanghai, China

    Get PDF
    This empirical study investigates Chinese studentsā€™ popular music preferences in daily life and to what extent and in what ways they prefer learning popular music in school in Shanghai, China. Data were drawn from questionnaires completed by 1,730 secondary students (aged 12ā€“17) and interviews with 60 students from 10 secondary schools, between September and October, 2011. Findings from these efforts were supplemented by and triangulated with data from interviews with 18 music teachers and school leaders. Findings revealed the cultural diversification and rational consumption of popular music by Chinese students in and out of school, as well as the cultural dilemmas those students confront due to their preferences for popular (Chinese and non-Chinese) and classical music in the school music curriculum. These findings can be interpreted as indicating that music and music education in formal or informal settings are complex cultural constructs that can be reinvented through the intertwined interplay of different actors concerned with the selection of music elements in a multileveled, multicultural world.postprin
    • ā€¦
    corecore