Stability analysis for a size-structured model of species in a space-limited habitat

We investigate the stability of steady states of a size- and stage-structured population model, which is a hybrid system of ordinary and partial differential equations with global integral feedbacks. After the formulation of a criterion by spectrum method, we derive conditions for global stability of the trivial state and local stability of the positive equilibrium via the basic reproduction rate. Furthermore, some examples and simulations ure .presented to illustrate the obtained results.

民间音乐的审美时空

时空观是个体基于生命有限性而追求在群体生命中实现超越与不朽的一种生命意识,人基于对存在时空有限性的深切体悟,在与环境周而复始的和谐相处与成长中,生发出超越性意识,由此形成绵延不绝的无限性时间意识与表达。在对现实有限适应与超越性存在中,在对未来无限追求的时空意识中,抵达音乐审美时空意象的无限性境界。