Spatio-temporal Bazykin's model with space-time nonlocality
type: Item
instance of: scholarly article
title: Spatio-temporal Bazykin's model with space-time nonlocality
zbMATH Open document ID: 1470.92254
author: Swadesh Pal
author: M. Banerjee
author: Vitaly Volpert
published in: Mathematical Biosciences and Engineering
publication date: 2021-08-04T00:00:00Z
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 7378473
zbMATH Keywords: Bazykin's model
zbMATH Keywords: nonlocal interaction
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: Turing instability
zbMATH Keywords: spatial pattern
Wikidata QID: Q101116863
MaRDI profile type: Publication
full work available at URL: mbe.2020262
OpenAlex ID: W3041193722
cites work: The chemical basis of morphogenesis
cites work: Analysis of pattern formation in reaction diffusion models with spatially inhomogeneous diffusion coefficients
cites work: Spatiotemporal Complexity of Plankton and Fish Dynamics
cites work: An integrodifference model for biological invasions in a periodically fragmented environment
cites work: A minimal model of pattern formation in a prey-predator system
cites work: Spatial Ecology via Reaction‐Diffusion Equations
cites work: Elliptic Partial Differential Equations
cites work: Turing instabilities and spatio-temporal chaos in ratio-dependent Holling-Tanner model
cites work: Dynamics and pattern formation in a modified Leslie–Gower model with Allee effect and Bazykin functional response
cites work: Spatiotemporal complexity of patchy invasion in a predator-prey system with the Allee effect.
cites work: Stability of Hopf-bifurcating limit cycles in a diffusion-driven prey-predator system with Allee effect and time delay
cites work: Prey-predator model with a nonlocal consumption of prey
cites work: Selection and stability of wave trains behind predator invasions in a model with non-local prey competition
cites work: Effect of kernels on spatio-temporal patterns of a non-local prey-predator model
cites work: Complex predator invasion waves in a Holling-Tanner model with nonlocal prey interaction
cites work: Pattern formation in a model of competing populations with nonlocal interactions
cites work: Stability and pattern formation for competing populations with asymmetric nonlocal coupling
cites work: Analysis of a prey-predator model with non-local interaction in the prey population
cites work: BIFURCATIONS, AND TEMPORAL AND SPATIAL PATTERNS OF A MODIFIED LOTKA–VOLTERRA MODEL
cites work: Dynamics of a strongly nonlocal reaction–diffusion population model
cites work: Mathematical model of evolutionary branching
cites work: Spatial Structures and Periodic Travelling Waves in an Integro-Differential Reaction-Diffusion Population Model
cites work: A predator-prey reaction-diffusion system with nonlocal effects
cites work: Rich Global Dynamics in a Prey–Predator Model with Allee Effect and Density Dependent Death Rate of Predator
cites work: Existence and asymptotic behavior of traveling wave fronts for a food-limited population model with spatio-temporal delay
cites work: Spatial dynamics in a predator-prey model with herd behavior
cites work: Absolute stability, conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays
cites work: On Nonlinear Dynamics of Predator-Prey Models with Discrete Delay
cites work: Study of cross-diffusion induced Turing patterns in a ratio-dependent prey-predator model via amplitude equations
cites work: Maturation delay for the predators can enhance stable coexistence for a class of prey-predator models
cites work: Pattern formation outside of equilibrium
cites work: On a predator-prey reaction-diffusion model with nonlocal effects
cites work: Detection of Turing patterns in a three species food chain model via amplitude equation
cites work: Global stability and pattern formation in a nonlocal diffusive Lotka-Volterra competition model
cites work: Effects of boundary conditions on pattern formation in a nonlocal prey-predator model
cites work: Pulses and waves for a bistable nonlocal reaction-diffusion equation
DOI: 10.3934/MBE.2020262
description: scientific article; zbMATH DE number 7378473