摘要
对一类具有时滞和阶段结构的Lotka-V o lterra型捕食模型进行了分析.利用上、下解方法及相应的单调迭代序列研究具有时滞的耦合半线性抛物方程组的动力学行为,给出了解的渐近性质.结果表明:扩散并不影响种群的生存和灭绝,而捕食者的阶段结构对其生存具有负面影响.
In this paper, a Lotka-Voherra type predator-prey model with delay and stage structure is discussed. The dynamics of coupled system of semilinear parabolic equations with time delays is investigated using upper and lower solutions and its associated monotone iterations. The asymptotic behavior of solutions is given. The results show that the introduction of diffusion does not affect the permanence and extinctions of species though the introduction of stage structure of predator brings negative effect on it.
出处
《扬州大学学报（自然科学版）》
CAS
CSCD
2006年第1期9-14,共6页
Journal of Yangzhou University：Natural Science Edition
基金
江苏省教育厅自然科学基金资助项目(05KJB110154)
关键词
捕食模型
阶段结构
时滞
全局稳定性
predator-prey model
stage structure
time delay
global stability
