Quick search Find article
Quick search
Find article

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

M Bandyopadhyay1 and J Chattopadhyay2,3

Show affiliations


Recommended by J A Glazier

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.


PACS

89.75.-k Complex systems

05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion

02.50.Ey Stochastic processes

05.45.-a Nonlinear dynamics and nonlinear dynamical systems

87.23.-n Ecology and evolution

02.30.Oz Bifurcation theory

MSC

92D40 Ecology

34K20 Stability theory

92D25 Population dynamics (general)

34K18 Bifurcation theory

Subjects

Mathematical physics

Computational physics

Environmental and Earth science

Statistical physics and nonlinear systems

Dates

Issue 2 (March 2005)

Received 27 April 2004, in final form 11 November 2004

Published 1 February 2005



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

    M Bandyopadhyay and J Chattopadhyay 2005 Nonlinearity 18 913

  2. Direct electro - gravitational couplings and the behaviour of primordial large-scale magnetic fields

    M Novello et al 1996 Class. Quantum Grav. 13 1089

  3. Fermion resonances on multi-field thick branes

    Yu-Xiao Liu et al JHEP10(2009)091

  4. Cascading to the MSSM

    Jonathan J. Heckman et al JHEP06(2008)016

  5. Watermelon configurations with wall interaction: exact and asymptotic results

    C Krattenthaler 2006 J. Phys.: Conf. Ser. 42 179

  6. Capacity of invariant measures related to Poisson-driven stochastic differential equations

    Józef Myjak and Tomasz Szarek 2003 Nonlinearity 16 441

  7. Relativistic many-body XMCD theory including core degenerate effects

    Takashi Fujikawa 2009 J. Phys.: Conf. Ser. 190 012014

  8. The stability of the modified plane Poiseuille flow in the presence of a transverse magnetic field

    Masaki Takashima 1996 Fluid Dyn. Res. 17 293

  9. Stochastic transport in plasmas

    R Balescu 2000 Eur. J. Phys. 21 279

  10. Some effects of temperature variation on sampling oscilloscopes and pulse generators

    Donald R Larson and Nicholas G Paulter Jr 2006 Metrologia 43 121

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.