摘要
1、引言关于三种群生态系统的持续生存的研究已经有了许多结果,应用动力系统的研究方法,文献对一般三种群捕食-被捕食系统和竞争系统的持续生存进行了研究,得到了几个判别法则;文献对一般抽象动力系统的一致持续生存进行了研究,得到了一个充要的判别法则。但是这些法则对系统在边界上的性质要求较高。
This paper will discuss persistence and uniformly persistence of three species Kolmogorov systems and obtain the following results: Let systems have not closed orbit on the three coordinate planes and let set C represents total equilibrium points locating the R_(+0)~3. Set C can be separated into C= U_m C_m and every C_m is isolated, invariant and connective component of C. Set{C_m}does not form a cycle. All solutions with positive initial conditions are bounded(ultimately bounded) in future time. Then systems are persistent(uniformly pers.istent) if and only if for every C_m, S^+(C_m)∩R_+~3=φ. These results are extensions of results of[1], [2]and also are extensions of results of[3], [4]when the three species systems will be restricted.
出处
《生物数学学报》
CSCD
北大核心
1990年第1期33-41,共9页
Journal of Biomathematics
