CAJ | 학술논문

考虑比率依赖的食饵带阶段结构捕食系统. 在假设食饵种群中未成年个体和成年个体由一个确定的年龄来划分开, 并且捕食者仅捕食未成年食饵的基础上, 讨论了平衡点的存在性. 由于系统在原点处不能线性化, 局部渐近稳定性分析运用了线性化和系统变换的方法. 此外, 还证明了当正平衡点存在时系统是一致持续生存的, 并利用极限系统理论和杜拉克判据研究了边界平衡点全局渐近稳定性, 这表明了此时捕食者种群将绝灭.
고필비솔의뢰적식이대계단결구포식계통. 재가설식이충군중미성년개체화성년개체유일개학정적년령래화분개, 병차포식자부포식미성년식이적기출상, 토론료평형점적존재성. 유우계통재원점처불능선성화, 국부점근은정성분석운용료선성화화계통변환적방법. 차외, 환증명료당정평형점존재시계통시일치지속생존적, 병이용겁한계통이론화두랍극판거연구료변계평형점전국점근은정성, 저표명료차시포식자충군장절멸.
In this paper, we consider a ratio-dependent predator-prey system with a stage structure for the prey. It is assumed that immature and mature individuals of the prey population are divided by a fixed age and that the predator individuals only prey on the immature prey individuals. Existence of equilibria is discussed and their local asymptotical stability is analyzed by linearization and system transforming since the system cannot be linearized at the origin. It is shown that the system is uniformly persistent when positive equilibrium exists. And the global asymptotical stability of boundary equilibrium, which implies the extinction of the predator population, is studied by the limit system theory and Dulac criterion.