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Role of detritus in a general prey-predator model of Sunderban Estuary, India.

Authors
  • Sarkar, A K
  • Ghosh, D
Type
Published Article
Journal
Biosystems
Publisher
Elsevier
Publication Date
Jan 01, 1997
Volume
44
Issue
2
Pages
153–160
Identifiers
PMID: 9429749
Source
Medline
License
Unknown

Abstract

In this paper we consider a general deterministic model consisting of a micro-organism pool living on detritus of mangrove litter and its invertebrate predators. Here the growth rate of micro-organism is assumed in the general form and Holling type-II functional response of the invertebrate predators is incorporated. We find a globally attracting steady state for some parameter values, and a stable limit cycle for some other parameter values. It is also shown that there exists Hopf-Andronov bifurcation with respect to the control parameters. It is found that the specific growth rate and the food conversion efficiency rate of invertebrate predator governs the dynamics of such a model.

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