CAJ | 학술논문

提出并研究一类一方不能独立生存的非自治偏利合作模型。借助微分方程比较原理探讨了系统的绝灭性和持久性问题，结果表明在合作效益较小时，种群将仍然绝灭，而在合作效益足够大后，两个种群都能持久生存；在持久的情形下，通过构造适当的Lyapunov函数分别得到一组保证系统正解全局吸引的充分性条件。
제출병연구일류일방불능독립생존적비자치편리합작모형。차조미분방정비교원리탐토료계통적절멸성화지구성문제，결과표명재합작효익교소시，충군장잉연절멸，이재합작효익족구대후，량개충군도능지구생존；재지구적정형하，통과구조괄당적Lyapunov함수분별득도일조보증계통정해전국흡인적충분성조건。
A nonautonomous obligate Lotka-Volterra model is proposed and the persistence and extinction of system is e-laborated by using the comparison theorem of differential equations. The results show that, depending on the cooperation in-tensity of the species, the first species is driven to extinct or be permanent; after that, by constructing some suitable Lya-punov function, a set of sufficient conditions is obtained which ensures the global attractiveness of the system.