DYNAMICS OF A STOCHASTIC RATIO-DEPENDENT PREDATOR-PREY MODEL

DOI10.1142/S0219530511001868zbMath1223.92065arXiv1508.07401OpenAlexW2963144992WikidataQ115523061 ScholiaQ115523061MaRDI QIDQ3173109

Tạ Việt Tôn, Nguyen Thi Hoai Linh

Publication date: 10 October 2011

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.07401

zbMATH Keywords

stochastic differential equationasymptotic behaviormoment boundednessratio-dependent functional response

Mathematics Subject Classification ID

Ecology (92D40) Generation, random and stochastic difference and differential equations (37H10) Qualitative investigation and simulation of ordinary differential equation models (34C60) Ordinary differential equations and systems with randomness (34F99)

Related Items (8)

Stationary distribution and extinction of a three-species food chain stochastic model ⋮ Asymptotic properties of stochastic prey-predator models ⋮ Spatial Pattern of Ratio-Dependent Predator–Prey Model with Prey Harvesting and Cross-Diffusion ⋮ Permanence and asymptotical behavior of stochastic prey-predator system with Markovian switching ⋮ A sustainability condition for stochastic forest model ⋮ Asymptotic behavior analysis for a three-species food chain stochastic model with regime switching ⋮ Analysis of stochastic Nicholson-type delay system with patch structure ⋮ Dynamics of a stochastic three-species food web model with omnivory and ratio-dependent functional response

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic behaviour of the stochastic Lotka-Volterra model.
• Environmental Brownian noise suppresses explosions in population dynamics.
• The Influence of External Real and White Noise on the L<scp>OTKA</scp>‐V<scp>OLTERRA</scp> Model

This page was built for publication: DYNAMICS OF A STOCHASTIC RATIO-DEPENDENT PREDATOR-PREY MODEL