Ratio-dependent predator-prey model: effect of environmental fluctuation and stability

Bandyopadhyay, M. ; Chattopadhyay, J. (2005) Ratio-dependent predator-prey model: effect of environmental fluctuation and stability Nonlinearity, 18 (2). pp. 913-936. ISSN 0951-7715

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Official URL: http://iopscience.iop.org/0951-7715/18/2/022

Related URL: http://dx.doi.org/10.1088/0951-7715/18/2/022

Abstract

This paper deals with the problem of a ratio-dependent predator-prey model. The deterministic and stochastic behaviour of the model system around biologically feasible equilibria are studied. Conditions for which the deterministic model enter into Hopf-bifurcation are worked out. Stochastic stability of the system around positive interior equilibrium is studied. To substantiate our analytical findings numerical simulations are carried out for a hypothetical set of parameter values.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics Publishing.
ID Code:7441
Deposited On:25 Oct 2010 11:31
Last Modified:30 May 2011 06:11

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