中文摘要：

研究具有非线性相互抑制项的连续型非自治竞争系统的绝灭性和稳定性问题,通过构造适当的绝灭函数,得到了保证系统一个种群绝灭、另外一个种群全局吸引的充分性条件.所得结果补充了相关文献的工作.数值模拟显示了所得结果的可行性.

英文摘要：

The extinction and stability of a nonautonomous continuous competitive system with nonlinear inter-inhibition terms is considered.By constructing some suitable Lyapunov type extinction functions,sufficient conditions which guarantee the extinction of species and the stability property of another species are obtained.The results supplement the recent ones obtained by Wang Qinglong et al.Numerical simulations show the feasibility of the results.