Deterministic and stochastic analysis of a ratio-dependent prey-predator system

DOI10.1080/00207720600879252zbMath1132.34037OpenAlexW2021748117WikidataQ115552225 ScholiaQ115552225MaRDI QIDQ5426618

Alakes Maiti, G. P. Samanta

Publication date: 13 November 2007

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207720600879252

zbMATH Keywords

momentsstabilityboundednessrandom perturbationspermanencestatistical linearizationadditive white noiseprey-predator systemSDEsratio-dependent population model

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Perturbations of ordinary differential equations (34D10) Ordinary differential equations and systems with randomness (34F05) Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (9)

Unnamed Item ⋮ A Michaelis–Menten Predator–Prey Model with Strong Allee Effect and Disease in Prey Incorporating Prey Refuge ⋮ Asymptotic properties of stochastic prey-predator models ⋮ A study of Michaelis-Menten type harvesting effects on a population in stochastic environment ⋮ Degree of prey refuges: control the competition among prey and foraging ability of predator ⋮ A Leslie-Gower predator-prey model with disease in prey incorporating a prey refuge ⋮ Deterministic sudden changes and stochastic fluctuation effects on stability and persistence dynamics of two-predator one-prey model ⋮ Dynamical behaviour of a two prey and one predator system ⋮ Stochastic analysis of a prey–predator model with herd behaviour of prey

Cites Work

• Unnamed Item
• Fluctuation and stability in a diffusive predator-prey system
• Stochastically perturbed Hopf bifurcation in an extended Volterra-Lotka system
• Stochastic analysis of a noisy oscillator
• On stability and fluctuation in Gompertzian and logistic growth models
• On the linearization of nonlinear Langevin-type stochastic differential equations
• A stochastic model for two interacting species
• Global qualitative analysis of a ratio-dependent predator-prey system
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Dynamical model of a single-species system in a polluted environment
• A practical variational approach to stochastic optimal control via state moment equations
• Stochastic analysis of a prey‐predator system
• The effects of random fluctuating environment on interacting species with time delay
• Complex stochastic averaging approach to a two‐state predator system
• DETERMINISTIC AND STOCHASTIC ANALYSIS OF A NONLINEAR PREY-PREDATOR SYSTEM

This page was built for publication: Deterministic and stochastic analysis of a ratio-dependent prey-predator system