In this paper, a mathematical model to study the survival of species depend
ent on a resource under the industrialization pressure in a given region wi
th diffusion is proposed and analyzed. In the absence of diffusion, criteri
a for local stability, instability, and global stability are obtained. A mo
del to conserve the resource biomass and to control the undesired level of
industrialization pressure is also presented. (C) 1999 Academic Press.