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对如下的一类自催化反应系统ｄｘ／ｄｔ＝ａ＿０－ａ＿４ｘｙ￣２，ｄｙ／ｄｔｔ＝ａ＿４ｘｙ￣２－ａ＿１ｙ，进行了系统的分析，并得出了如下的结论：（１）若，则该系统具有唯一的极限环；（２）若或，则不可能具有极限环。
A series of autocatalytic reaction systems dx / dt = a_0-a_4xy ~ 2, dy / dtt = a_4xy ~ 2-a_1y are systematically analyzed and the following conclusions are drawn: (1) If The system has a unique limit cycle; (2) if or, it is impossible to have a limit cycle.