【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.更多还原

【Abstract】 In this paper,a Lotka-Volterra 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.更多还原