Analysis of Stochastic Diffusive Predator PreyModel with Hyperbolic Mortality Rate

DOI10.5890/DNC.2016.09.003zbMath1349.92132OpenAlexW2522770517WikidataQ115478999 ScholiaQ115478999MaRDI QIDQ2833751

Murugan Suvinthra, M. Sambath, Krishnan Balachandran

Publication date: 25 November 2016

Published in: The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5890/dnc.2016.09.003

zbMATH Keywords

stochastic partial differential equationslarge deviation principlepredator-prey modelLaplace principle

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25)

Related Items (11)

DYNAMICS OF A MODIFIED HOLLING-TANNER PREDATOR-PREY MODEL WITH DIFFUSION ⋮ Qualitative Analysis for a Phytoplankton-Zooplankton Model with Allee Effect and Holling Type II Response ⋮ Stationary distribution and global stability of stochastic predator-prey model with disease in prey population ⋮ Bifurcation analysis of a diffusive predator–prey model with hyperbolic mortality and prey-taxis ⋮ Dynamic study of a predator-prey model with Allee effect and Holling type-I functional response ⋮ Rich dynamics of a predator-prey system with different kinds of functional responses ⋮ Dynamics of a stochastic Holling type II predator-prey model with hyperbolic mortality ⋮ Spatio-temporal dynamics near the steady state of a planktonic system ⋮ Large deviations for the stochastic predator–prey model with nonlinear functional response ⋮ Hopf bifurcation analysis of a diffusive predator-prey model with Monod-Haldane response ⋮ Dynamics of a discrete-time stage-structured predator-prey system with Holling type II response function

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