CAJ | 학술논문

研究一类带有Beddington-DeAngelis功能性反应和时滞的多维离散食饵-捕食系统的持久性和全局稳定性。利用差分方程的比较原理，给出了系统持久性的充分条件；应用估值方法推导得到系统全局稳定性的充分条件；使用不动点理论，证明了系统周期解的存在性和全局稳定性。
연구일류대유Beddington-DeAngelis공능성반응화시체적다유리산식이-포식계통적지구성화전국은정성。이용차분방정적비교원리，급출료계통지구성적충분조건；응용고치방법추도득도계통전국은정성적충분조건；사용불동점이론，증명료계통주기해적존재성화전국은정성。
The permanence and global stability of a non-autonomous predator-prey discrete model, which is consisted by n preys and m predators, with Beddington-DeAngelis functional response and time delays are investigated. Using the comparison principle of the difference equations, the sufficient condition that the discrete system is permanent is acquired directly. The sufficient conditions which ensure the global stability of the discrete system are obtained through the valuation methods. For periodic case, the sufficient conditions are established for the existence and the global stability of positive periodic solutions by the fixed point principle.