Nonlinear Phenomena in Complex Systems, 2000, Vol.3, No.4, pp.407--420

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2000, Volume 3, Number 4, pp.407--420

A Predator-Prey Model with Some Cover on Prey Species.
J. Chattopadhyay, N. Bairagi, and R. R. Sarkar

A predator-prey model with a constant number of refuge is proposed and analyzed. The permanence of the solutions are studied and pointed out the role of prey refuge for survival of the species. We study the global stability of the system around the positive interior equilibrium point. It is observed that global stability of the system around positive interior equilibrium does not necessarily imply the persistence of the species. The marginal effects in predator and prey stock level as well as the resource rent of each species are discussed. Two other reasonable possibilities such as constant proportion of refuge and environmental stochasticity in both populations are also considered.
Key words: predator-prey system, refuge, permanence, global stability, environmental stochasticity

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