摘要
研究了一类具有放牧率及扩散的3种群概周期竞争模型,利用上、下解方法,Schauder不动点定理以及Lyapunov稳定性理论,得到了确保该模型空间齐次概周期解的存在性及稳定性的充分条件,推广了已有的相应结果.
Almost periodic solution of a three-species competition system with grazing rates and diffusions were investigated by using the method of upper and lower solutions, the Schauder fixed point theorem as well as Lyapunov stability theory. Sufficient conditions guaranteeing the existence and stability of the strictly positive space homogenous almost periodic solution of the system were obtained, and some known results were improved.
出处
《北京工业大学学报》
EI
CAS
CSCD
北大核心
2012年第11期1749-1755,1760,共8页
Journal of Beijing University of Technology
基金
国家自然科学基金资助项目(11101298)
重庆市教育委员会科学技术研究项目(KJ110501)
关键词
概周期解
稳定性
竞争模型
放牧率
上、下解方法
almost periodic solution
stability
competition model
grazing rates
method of upper andlower solutions