摘要
本文通过一系列变换,将一类非二次微分食饵—捕食系统化为二次微分系统Ⅲ类方程的标准形式,进而研究了该系统极限环的存在唯一性,并运用Liapunov第二方法论证了正平衡点的稳定性,进而又得出相应极限环的稳定性.
The thesis transforms a series of man 2th-doferentval feeding-prey system into No. 3egaations' norm at form of 2th-dfferertiat system using salaries of traroformations. And the research the arty redistill of the lint cycles in the system. We prove the steadiness of positive eguilibvium spot by liapunov N0.2 method. And we ford the steeliness of corresponding limit cycles.