研究一类非自治具有密度制约且包含Holling Ⅳ类功能性反应和无穷时滞的捕食者-食饵系统.利用比较定理结合一些分析技巧及构造Lyapunov泛函的方法,得到了保证系统永久持续生存及任意正解全局吸引的新的充分性条件.
A nonautonomous predator-prey system with density-dependent and Holling IV-type functional response and infinite delay is studied. By applying the comparison theorem combining some analytical technique and constructing a suitable Lyapunov functional, some new sufficient conditions are obtained for guaranteeing the permanence of the system and global attraetivity of any positive solution.