兰州大学学报（自然科学版）
蘭州大學學報（自然科學版）
란주대학학보（자연과학판）
JOURNAL OF LANZHOU UNIVERSITY（NATURAL SCIENCES）
2015年
2期
266-270
,共5页
捕食者%食饵模型%非局部时滞%Beverton-Holt函数%波动方法%全局吸引性
捕食者%食餌模型%非跼部時滯%Beverton-Holt函數%波動方法%全跼吸引性
포식자%식이모형%비국부시체%Beverton-Holt함수%파동방법%전국흡인성
predator-prey model%fluctuation method and time-delayed%Beverton-Holt function%fluctuation method%global attractivity
考虑一类带阶段结构的扩散捕食者食饵模型，其中食饵个体经历两个生命阶段，未成熟和成熟阶段，捕食者生物量的转化有一个延迟，食饵生物量的增长遵循一般化的Beverton-Holt函数。就非局部椭圆特征问题的主特征值，建立一致持久性与全局灭绝性。利用波动方法，给出唯一正常数稳态解的全局吸引性。
攷慮一類帶階段結構的擴散捕食者食餌模型，其中食餌箇體經歷兩箇生命階段，未成熟和成熟階段，捕食者生物量的轉化有一箇延遲，食餌生物量的增長遵循一般化的Beverton-Holt函數。就非跼部橢圓特徵問題的主特徵值，建立一緻持久性與全跼滅絕性。利用波動方法，給齣唯一正常數穩態解的全跼吸引性。
고필일류대계단결구적확산포식자식이모형，기중식이개체경력량개생명계단，미성숙화성숙계단，포식자생물량적전화유일개연지，식이생물량적증장준순일반화적Beverton-Holt함수。취비국부타원특정문제적주특정치，건립일치지구성여전국멸절성。이용파동방법，급출유일정상수은태해적전국흡인성。
A nonlocal and time-delayed reaction-diffusion predator-prey model was studied, where prey individuals undergo two stages, i.e. immature and mature, and the conversion of consumed from prey biomass to predator biomass has a retardation. The growth of the prey population obeys general Beverton-Holt function. By discussing the principal eigenvalue of nonlocal elliptic problems, we showed an explicit expression of the principal eigenvalue, the su?cient conditions for the uniform persistence and global extinction for the model could be established. By the fluctuation method, the global attractivity of the unique positive constant steady state was obtained.
