title: Role of detritus in a general prey-predator model of Sunderban Estuary, India.
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.
authors.affiliation: Department of Mathematics, Jadavpur University, Calcutta, India.
authors.forename: A K
authors.initials: AK
authors.lastname: Sarkar
authors.forename: D
authors.initials: D
authors.lastname: Ghosh
mesh_terms: D000818:Animals; D007194:India; D007448:Invertebrates; D008954:Models, Biological; D008962:Models, Theoretical; D010944:Plants / Q000382:microbiology*; D011157:Population Dynamics; D011235:Predatory Behavior