Modelling the interaction of two biological species in a polluted environment

Citation
B. Dubey et J. Hussain, Modelling the interaction of two biological species in a polluted environment, J MATH ANAL, 246(1), 2000, pp. 58-79
Citations number
19
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
246
Issue
1
Year of publication
2000
Pages
58 - 79
Database
ISI
SICI code
0022-247X(20000601)246:1<58:MTIOTB>2.0.ZU;2-L
Abstract
In this paper a mathematical model is proposed and analysed to study the ef fect of an environmental pollutant on two interacting biological species. T he interaction between the two species is considered to be of three types, namely, competition, cooperation, and prey-predator. In each case criteria for local stability, instability, and global stability of the nonnegative e quilibria of the system are obtained. The effect of diffusion on the equili brium state of the system is also studied. (C) 2000 Academic Press.