【摘要】 研究了一类具阶段结构的捕食者食饵模型的渐近性质.文中假设由幼年阶段转化为成年阶段的转化率依赖于幼年个体数量.建立了捕食种群一致持续生存与绝灭的条件.证明了稳定的周期解的存在性.更多还原

【Abstract】 The asymptotic behavior of a predator-prey system with stage structure is studied. It is assumed that the transition rate from immature stage to mature stage depends on the density of immature individuals. Conditions for the permanence and conditions for the extinction of the predator are obtained. It is also found that the model admits an orbitally asymptotically stable periodic orbit.更多还原