Persistence and attractivity in an N-species ratio-dependent predator-prey system with distributed time delays

Authors:
Rui Xu;M. A. J. Chaplain
Affiliations:
Department of Mathematics, Mechanical Engineering College, 97 Heping West Road, Shijiazhuang 050003, P.R. China;Department of Mathematics, University of Dundee, Dundee, UK
Venue:
Applied Mathematics and Computation
Year:
2002

Citing 2
Cited 0

Coexistence in a model of competition in the Chemostat incorporating discrete delays

SIAM Journal on Applied Mathematics
Global analyses in some delayed ratio-dependent predator-prey systems

Nonlinear Analysis: Theory, Methods & Applications

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Abstract

An N-species ratio-dependent predator-prey food-chain model with distributed time delays is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are obtained for the global attractivity of the positive equilibrium of the system.