Global asymptotic stability of a two species competitive system with stage structure and harvesting  

作　　者：XinyuSONG LansunCHEN 等 

机构地区：[1]DepartmentofMathematics,XinyangTeachersCollege,Henan464000,China [2]InstituteofMathematics,AcademyofMathematicsandSystemSciences,ChineseAcademyofSciences,Beijing100080,China

出　　处：《Communications in Nonlinear Science and Numerical Simulation》2001年第2期81-87,共7页非线性科学与数值模拟通讯（英文版）

摘　　要：The dynamics of a two species competitive system, where the species one has two stages, a immature stage and a mature stage with harvesting, and the growth of the species two is of Lotka-Volterra nature, is modelled by a system of retarded functional differential equations. We obtain the conditions for global asymptotic stability of three nonnegative equilibria and the threshold of harvesting mature population. The effect of the delay on the population at equilibrium and the optimal harvesting of mature population are also considered.The dynamics of a two species competitive system, where the species one has two stages, a immature stage and a mature stage with harvesting, and the growth of the species two is of Lotka-Volterra nature, is modelled by a system of retarded functional differential equations. We obtain the conditions for global asymptotic stability of three nonnegative equilibria and the threshold of harvesting mature population. The effect of the delay on the population at equilibrium and the optimal harvesting of mature population are also considered.

关 键 词：optimal harvesting stage structure competitive system global asymptotic stability. 

分 类 号：C92[社会学—人口学] O177[理学—数学]