Models for the survival of species dependent on resource in industrial environments

Authors
Citation
B. Dubey et B. Das, Models for the survival of species dependent on resource in industrial environments, J MATH ANAL, 231(2), 1999, pp. 374-396
Citations number
12
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
231
Issue
2
Year of publication
1999
Pages
374 - 396
Database
ISI
SICI code
0022-247X(19990315)231:2<374:MFTSOS>2.0.ZU;2-V
Abstract
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.