A fundamental problem of population dynamics is to seek long-term coexistence between for species judgment standard. And an important aspect of this problem is to understand spatial di?usion and environmental heterogeneity influence to coexist. Paper aims to explore three di?usion in space heterogeneity area between competing species coexistence problem.The three reaction di?usion equation of the system as a half power system, so as the research model of population dynamics. If the right in the system for all elements of any initial state, the ultimate each element will enter and maintain in a far away from the zero strictly are given in the collection, says such a system is a lasting permanence.Conditions in the process of analysis can be interpreted as natural environmental conditions and parameters. |