Effect of small time delay in a predator-prey model within random environment

DOI10.1007/s12591-008-0014-2zbMath1180.34094OpenAlexW2050674979WikidataQ115601382 ScholiaQ115601382MaRDI QIDQ1032043

Tapan Saha, Malay Banerjee

Publication date: 23 October 2009

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-008-0014-2

zbMATH Keywords

time delaypredator-prey modelHopf-bifurcationexponential mean square stabilitywhite and colored noisesmall delay approximation

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)

Related Items (2)

The modeling and control of a singular biological economic system with time delay in a polluted environment ⋮ Persistence and stability of a seasonally perturbed three species stochastic model of salmonoid aquaculture

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Delay differential equations: with applications in population dynamics
• Ecological stability and social hierarchy
• Noise-induced transitions. Theory and applications in physics, chemistry, and biology
• Stability and bifurcation in a non-Kolmogorov type prey-predator system with time delay
• Stability of functional differential equations
• Non-equilibrium fluctuation in Volterra-Lotka systems
• Noise and stability in differential delay equations
• On the formulation and analysis of general deterministic structured population models. I: Linear theory
• On the stability properties of a stochastic model for phage-bacteria interaction in open marine environment
• Noise in ecosystems: a short review
• Mean-square stability of a stochastic model for bacteriophage infection with time delays
• Numerical solution of stochastic differential problems in the biosciences
• Exponential stability of stochastic differential delay equations
• ON THEORETICAL MODELS FOR COMPETITIVE AND PREDATORY BIOLOGICAL SYSTEMS
• Razumikhin-Type Theorems on Exponential Stability of Neutral Stochastic Differential Equations
• Evolutionary Games and Population Dynamics
• Elements of Mathematical Ecology
• Ratio-dependent predator–prey model: effect of environmental fluctuation and stability
• Handbook of stochastic methods for physics, chemistry and natural sciences.

This page was built for publication: Effect of small time delay in a predator-prey model within random environment