摘要
本文考虑具有时滞的四种群食物链反应扩散方程。给出了在一定条件下解的存在性和平衡态方程正解的整体渐近稳定性。由此可以得到解的持久性,平凡解和所有半平凡解的不稳定性。
This paper is concerned with four species food-chain reaction-diffusion systems with time delays. Obtained are some conditions for the existence of solutions and global asymptotic stability of a positive steady-state solution. The result of global asymptotic stability implies that the solution is permanent, and trivial and all semitruvial solutions are unstable.
出处
《工程数学学报》
CSCD
北大核心
2006年第3期407-413,共7页
Chinese Journal of Engineering Mathematics
基金
国家自然科学基金(50113630
10371096
10571115)
教育部优秀青年教师资助计划
关键词
食物链方程
时滞
稳定性
上下解
food-chain systems
time delays
stability
upper and lower solutions
