CAJ | 학술논문

本文研究了污染环境下具有脉冲输入的竞争培养模型.利用乘子理论和小振幅扰动法,我们得到了种群灭绝周期解全局渐近稳定的充分条件,同时还得到了种群持久的条件.我们的结果表明环境污染能最终导致种群灭绝.
본문연구료오염배경하구유맥충수입적경쟁배양모형.이용승자이론화소진폭우동법,아문득도료충군멸절주기해전국점근은정적충분조건,동시환득도료충군지구적조건.아문적결과표명배경오염능최종도치충군멸절.
In this paper, a chemostat-type competition model with pulsed input in a polluted environment is considered. Using Floquet theory and small amplitude perturbation method, we prove that the microorganism-eradication periodic solution is asymptotically stable if some conditions are needed. At the same time we can find the condition of the nutrient and microorganism are permanent. Our results show that the polluted environment can lead the microorganism species to be extinct.