M Bandyopadhyay and J Chattopadhyay 2005 Nonlinearity 18 913 doi:10.1088/0951-7715/18/2/022
M Bandyopadhyay1 and J Chattopadhyay2,3
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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.
05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
05.45.-a Nonlinear dynamics and nonlinear dynamical systems
Issue 2 (March 2005)
Received 27 April 2004, in final form 11 November 2004
Published 1 February 2005
M Bandyopadhyay and J Chattopadhyay 2005 Nonlinearity 18 913
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