郭忠勝Jong–Shenq Guo陳彥宇Yan-Yu Chen2019-09-052009-7-22019-09-052009http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22GN0696400014%22.&%22.id.&http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101764我們研究有關一個催化劑-抑制劑之動力系統的爆破行為。首先，我們給爆破解存在的充分條件。而爆破解的行為分為同時爆破及非同時爆破兩種情況。然後，我們得到他們的爆破速率。最後，我們證明對於任意給定的爆破時間，同時爆破或非同時爆破解的存在性。We study the blow-up behaviors of solutions for a kinetic system related to an activator-inhibitor system. First, we give a sufficient condition for the existence of blow-up solutions. There are cases of simultaneous and non-simultaneous blow-up. We then derive the blow-up rates for both cases. Finally, we prove the existence of simultaneous and non-simultaneous blow-up solutions for any given blow-up time.催化劑-抑制劑動力系統同時爆破非同時爆破爆破速率activator-inhibitorkinetic systemsimultaneous blow-upnon-simultaneous blow-upblow-up rate