title: Dynamical behaviour of a two-predator model with prey refuge.
abstract: A three-component model consisting on one-prey and two-predator populations is considered with a Holling type II response function incorporating a constant proportion of prey refuge. We also consider the competition among predators for their food (prey) and shelter. The essential mathematical features of the model have been analyzed thoroughly in terms of stability and bifurcations arising in some selected situations. Threshold values for some parameters indicating the feasibility and stability conditions of some equilibria are determined. The range of significant parameters under which the system admits different types of bifurcations is investigated. Numerical illustrations are performed in order to validate the applicability of the model under consideration.
authors: Department of Mathematics, Aliah University, DN-41, Sector-V, Salt Lake City, Kolkata 700 091, West Bengal, India. s.sarwardi@gmail.com
authors: Sahabuddin
authors: S
authors: Sarwardi
authors: Prashanta Kumar
authors: PK
authors: Mandal
authors: Santanu
authors: S
authors: Ray
mesh_terms: D000818:Animals; D005240:Feasibility Studies; D020387:Food Chain; D008954:Models, Biological; D011235:Predatory Behavior
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