Analytical detection of stationary turing pattern in a predator-prey system with generalist predator

DOI10.1051/mmnp/2022032zbMath1518.35592WikidataQ114105335 ScholiaQ114105335MaRDI QIDQ6043836

Subrata Dey, Saktipada Ghorai, Malay Banerjee

Publication date: 25 May 2023

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcationglobal bifurcationamplitude equationTuring instabilityspatial pattern

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcations in context of PDEs (35B32) Computational methods for problems pertaining to biology (92-08) Positive solutions to PDEs (35B09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Pattern formations in context of PDEs (35B36)

Related Items

Maturation delay induced stability enhancement and shift of bifurcation thresholds in a predator-prey model with generalist predator, Global stability of a predator-prey model with generalist predator, Analytical detection of stationary and dynamic patterns in a prey-predator model with reproductive Allee effect in prey growth

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A singular reaction-diffusion system modelling prey-predator interactions: invasion and co-extinction waves
• Vegetation pattern formation due to interactions between water availability and toxicity in plant-soil feedback
• Stability and instability analysis for a ratio-dependent predator-prey system with diffusion effect
• A non-linear analysis for spatial structure in a reaction-diffusion model
• Waves analysis and spatiotemporal pattern formation of an ecosystem model
• Local existence for quasilinear parabolic systems under nonlinear boundary conditions
• A minimal model of pattern formation in a prey-predator system
• Turing pattern formation in a predator-prey system with cross diffusion
• Analysis of a prey-predator model with non-local interaction in the prey population
• A skeleton structure of self-replicating dynamics
• Hopf and steady state bifurcation analysis in a ratio-dependent predator-prey model
• Weakly nonlinear analysis of Turing patterns in a morphochemical model for metal growth
• Spatiotemporal patterns in a diffusive predator-prey model with prey social behavior
• Detection of Turing patterns in a three species food chain model via amplitude equation
• Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations
• Cross-diffusion-driven Turing instability and weakly nonlinear analysis of Turing patterns in a uni-directional consumer-resource system
• Pattern formation for a two-dimensional reaction-diffusion model with chemotaxis
• Spatiotemporal Complexity of Plankton and Fish Dynamics
• Differential inequalities and maximum principles: theory, new methods and applications
• The chemical basis of morphogenesis
• A Pseudo-Arclength Continuation Method for Nonlinear Eigenvalue Problems
• Pattern Formation and Oscillatory Dynamics in a Two-Dimensional Coupled Bulk-Surface Reaction-Diffusion System
• Cross-Diffusion Induced Turing Instability and Amplitude Equation for a Toxic-Phytoplankton–Zooplankton Model with Nonmonotonic Functional Response
• Pattern formation outside of equilibrium