【摘要】 用上、下解方法研究一类反应扩散方程整体解的存在性及解的ｂｌｏｗ－ｕｐ问题．以往的研究在ｕ０－ｖ０相平面上有一个空白区域，在其上不能判定解是整体存在或者ｂｌｏｗ－ｕｐ，本文在ｕ０－ｖ０相平面上得出一条明确分界线，在其一侧解是整体存在的，在另一侧解是ｂｌｏｗ－ｕｐ的，从而完全地解决了该问题．更多还原

【Abstract】 By the method of upper and lower solutions,the author considered the existence and blow up problems of global solutions for a class of nuclear reaction,and gave a separatrix on phase plane u 0 v 0 ,at a side the solution is global existential,and at another side it is blaw up.So this problem was solved completely.更多还原