Numerical analysis of a three-species chemotaxis model

DOI10.1016/j.camwa.2020.03.008zbMath1452.92007OpenAlexW3014968127MaRDI QIDQ2192547

Mauricio Sepúlveda, Luis Miguel Villada, Rafael Ordoñez, Raimund Bürger

Publication date: 17 August 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.03.008

zbMATH Keywords

finite volume methodreaction-diffusionchemotaxis model for three species

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Finite volume methods for boundary value problems involving PDEs (65N08)

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Cites Work

• Effects of time delay on three interacting species system with noise
• Functional analysis, Sobolev spaces and partial differential equations
• Mathematical biology. Vol. 1: An introduction.
• A new approach toward stabilization in a two-species chemotaxis model with logistic source
• Asymptotic behavior and global existence of solutions to a two-species chemotaxis system with two chemicals
• Numerical solution of a spatio-temporal predator-prey model with infected prey
• A reaction-diffusion predator-prey model with pursuit, evasion, and nonlocal sensing
• Competitive exclusion in a two-species chemotaxis model
• Global existence and asymptotic behavior of solutions to a predator-prey chemotaxis system with two chemicals
• Dynamics and pattern formations in a three-species predator-prey model with two prey-taxis
• CONVERGENCE OF A FINITE VOLUME SCHEME FOR GAS–WATER FLOW IN A MULTI-DIMENSIONAL POROUS MEDIUM
• Stabilization in a two-species chemotaxis system with a logistic source
• ANALYSIS OF A FINITE VOLUME METHOD FOR A CROSS-DIFFUSION MODEL IN POPULATION DYNAMICS
• Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
• Does environmental variability limit niche overlap?
• Positive nonlinear CVFE scheme for degenerate anisotropic Keller-Segel system
• Numerical analysis for a three interacting species model with nonlocal and cross diffusion
• A finite volume scheme for a Keller-Segel model with additional cross-diffusion
• Monotone combined edge finite volume–finite element scheme for Anisotropic Keller–Segel model
• Numerical approximation of an elliptic-parabolic equation arising in environment
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