【摘要】 本文对一类两种群竞争系统的生态模型进行了全面研究,得到下面结果:解在R⁺₂内是有界的,没有周期解;正平衡点存在唯一的条件和非负平衡点的稳定性,吸引区域;确定了在各种不同情形下,轨线在R⁺₂内的全局结构,进而解释了这种结构具有的实际生态意义。更多还原

【Abstract】 In this paper, the ecological model for a class of competitive system is studied. The following results have been obtained: the solutions being bounded in R₂⁺ without periodic solutions; conditions of existence being unique with positive equilibrim point, stability of non-negative equilibrim points, and attracting regions; global structures of orbits in R₂⁺ for every case determined and factual ecological implications of this global structures explained.更多还原