具有变时滞阶段结构捕食系统的全局吸引性

摘要

This paper studies a mutual interference stage structured predator-prey system with varying delay. By using the comparison principle of differential inequations and an iteration scheme, a set of sufficient conditions are obtained for the global attractivity of a unique positive equilibrium of the system. An example with its numerical simulations shows the feasibility of the main results.%研究了一类具有变时滞相互干扰阶段结构捕食系统。利用微分不等式比较原理和迭代法得到了系统平衡态全局吸引的充分条件，通过举例并进行数值模拟验证了结论的可行性。