Asymptotic behavior of predator-prey systems perturbed by white noise

DOI10.1007/s10440-011-9628-4zbMath1262.34047OpenAlexW1974553733WikidataQ115605546 ScholiaQ115605546MaRDI QIDQ637514

Nguyen Huu Du, Nguyen Hai Dang, Tạ Việt Tôn

Publication date: 6 September 2011

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-011-9628-4

zbMATH Keywords

stochastic differential equationsconvergence of probability measuresdiffusion processpredator-prey system

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Ordinary differential equations and systems with randomness (34F05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items

Dynamic behavior of a stochastic predator-prey system under regime switching ⋮ Permanence of a stochastic prey-predator model with a general functional response ⋮ A Markov-switching predator–prey model with Allee effect for preys ⋮ Dynamics of stochastic coral reefs model with multiplicative nonlinear noise ⋮ Asymptotic behavior of Kolmogorov systems with predator-prey type in random environment ⋮ Effects of stochastic perturbation on the SIS epidemic system ⋮ Population dynamical behavior of a two-predator one-prey stochastic model with time delay ⋮ Permanence and extinction of a stochastic SIS epidemic model with three independent Brownian motions ⋮ Coexistence and exclusion of stochastic competitive Lotka-Volterra models ⋮ Unnamed Item ⋮ Dynamical systems under random perturbations with fast switching and slow diffusion: hyperbolic equilibria and stable limit cycles ⋮ Stochastic Two Species Model with Prey Refuge: an Application to Keoladeo National Park, India ⋮ Extinction and ergodic stationary distribution of a Markovian-switching prey-predator model with additional food for predator ⋮ The survival analysis of a stochastic Lotka-Volterra competition model with a coexistence equilibrium

Cites Work

• Dynamics of a stochastic Lotka-Volterra model perturbed by white noise
• Asymptotic behaviour of the stochastic Lotka-Volterra model.
• Stochastic population dynamics under regime switching
• Conservative Markov processes on a topological space
• Long-time behaviour of a stochastic prey--predator model.
• The Influence of External Real and White Noise on the L<scp>OTKA</scp>‐V<scp>OLTERRA</scp> Model
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item