Inter-species competition and chemorepulsion

DOI10.1016/j.jmaa.2017.11.021zbMath1381.92087OpenAlexW2768153346MaRDI QIDQ1684828

Peng Zhang

Publication date: 12 December 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.11.021

zbMATH Keywords

asymptotic stabilitybifurcationcompetitive systemschemo-repulsionsub and super solutions

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Cell movement (chemotaxis, etc.) (92C17)

Related Items (9)

Pattern formation in a predator-mediated coexistence model with prey-taxis ⋮ Study of a chemo-repulsion model with quadratic production. II: Analysis of an unconditionally energy-stable fully discrete scheme ⋮ An optimal control problem for a Lotka-Volterra competition model with chemo-repulsion ⋮ Unnamed Item ⋮ Asymptotic stability in a chemotaxis-competition system with indirect signal production ⋮ Theoretical analysis for a PDE-ODE system related to a glioblastoma tumor with vasculature ⋮ Theoretical and numerical analysis for a hybrid tumor model with diffusion depending on vasculature ⋮ Attraction-repulsion taxis mechanisms in a predator-prey model ⋮ A chemorepulsion model with superlinear production: analysis of the continuous problem and two approximately positive and energy-stable schemes

Cites Work

• Unnamed Item
• Mathematical analysis of a model of chemotaxis with competition terms.
• Reaction-diffusion-advection models for the effects and evolution of dispersal
• Pattern formation of the attraction-repulsion Keller-Segel system
• On a comparison method to reaction-diffusion systems and its applications to chemotaxis
• Qualitative analysis of a Lotka-Volterra competition system with advection
• Global solutions of reaction-diffusion systems
• Initiation of slime mold aggregation viewed as an instability
• The spatial homogeneity of stable equilibria of some reaction-diffusion systems on convex domains
• Geometric theory of semilinear parabolic equations
• Mathematical biology. Vol. 1: An introduction.
• Diffusion, self-diffusion and cross-diffusion
• Asymptotic stability of a two species chemotaxis system with non-diffusive chemoattractant
• On the global existence of solutions to an aggregation model
• Predator–prey model with diffusion and indirect prey-taxis
• Stabilization in a two-species chemotaxis system with a logistic source
• Random walk with persistence and external bias
• Diffusive and nondiffusive population models
• Abstract Parabolic Evolution Equations and their Applications
• L^PBounds of solutions of reaction-diffusion equations
• Convergence to Homogeneous Equilibrium State for Generalized Volterra–Lotka Systems with Diffusion
• Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
• A Chemotaxis System with Logistic Source

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