Effects of boundary conditions on pattern formation in a nonlocal prey-predator model

DOI10.1016/j.apm.2019.10.061zbMath1481.92111OpenAlexW2988971240WikidataQ115587248 ScholiaQ115587248MaRDI QIDQ2174392

Malay Banerjee, Swadesh Pal, Saktipada Ghorai

Publication date: 21 April 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2019.10.061

zbMATH Keywords

Neumann boundary conditionperiodic boundary conditionkernel functionTuring bifurcationnonlocal modelspatial-Hopf bifurcation

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items

Spatiotemporal pattern formation in a prey–predator model with generalist predator, Spatiotemporal pattern formation in 2D prey-predator system with nonlocal intraspecific competition, Nonlinear self-organized population dynamics induced by external selective nonlocal processes, Self-Organization in a Plankton Community with Herd Predation and Weakly Nonlinear Diffusion, Spatio-temporal Bazykin's model with space-time nonlocality, Effects of non-local competition on plankton–fish dynamics, New two-derivative implicit-explicit Runge-Kutta methods for stiff reaction-diffusion systems

Cites Work

• Unnamed Item
• Spatiotemporal dynamics of a Leslie-Gower predator-prey model incorporating a prey refuge
• Global stability of a Leslie-Gower predator-prey model with feedback controls
• Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
• Analysis of a prey-predator model with non-local interaction in the prey population
• Bifurcation analysis of a modified Leslie-Gower model with Holling type-IV functional response and nonlinear prey harvesting
• Complex predator invasion waves in a Holling-Tanner model with nonlocal prey interaction
• Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations
• Effect of kernels on spatio-temporal patterns of a non-local prey-predator model
• Reaction, diffusion and non-local interaction
• Pattern formation in a model of competing populations with nonlocal interactions
• Invasion Generates Periodic Traveling Waves (Wavetrains) in Predator-Prey Models with Nonlocal Dispersal
• A STOCHASTIC MODEL FOR STUDYING THE PROPERTIES OF CERTAIN BIOLOGICAL SYSTEMS BY NUMERICAL METHODS
• The properties of a stochastic model for the predator-prey type of interaction between two species
• Pattern and Waves for a Model in Population Dynamics with Nonlocal Consumption of Resources
• Prey-predator model with a nonlocal consumption of prey
• Dynamics and pattern formation in a modified Leslie–Gower model with Allee effect and Bazykin functional response
• Elliptic Partial Differential Equations