也论有线性密度制约的2n阶捕食系统的稳定性

ON STABILITY OF 2n PREDATORPREY SPECIES SYSTEMS WITH LINEAR DENSITY-DEPENDENCES

本文在得到多资源多终端捕食者的一个 Lotka-Volterra 型复杂生态系统的解的有界性之后,应用“一个多资源食物链系统的有界性和稳定性”一文中存在“生态非顺环”的稳定性条件来代替“具有线性密度制约的2n阶捕食系统的稳定性”中的(n-1)(n-2)/2个条件,亦得相同结论.

First,this paper obtains the boundedness of the solutions of a complicate ecosystem(type Lotka-Volterra)of poly-resource and poly-end predators. Then,by replacing the(n-1)(n-2)/2 conditions from the paper“Stability of 2n Predatorprey Species Systems With Linear Density-Dependences”with the stable conditions of“the ecological non-direct ring”existing in the paper“Boundedness and Stability of a Poly-Resource Predator-Prey Chain System”,the paper also proves the same conclusions hold.