Keywords: 65M25; 35B40; 35L60; 35Q92; 92D25; Erythropoiesis model; Nonlinear age-structured system; Numerical scheme; Long-time integration;
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Keywords: Population biology; Rearrangements of functions; Reaction-diffusion; Optimization; Symmetry; 35K57; 35Q92; 35J25; 65K10; 65K15;
Keywords: 35K55; 35A01; 35Q92; 92C17; Keller-Segel system; Nonlinear diffusion; Singular sensitivity; Global generalized solutions;
Keywords: Interaction potentials; Nonlocal models; H-stability; Cell sorting; Cell-cell interactions; 35Q70; 35Q92; 92C17;
Keywords: primary; 35A02; secondary; 35K65; 35Q92; Keller-Segel equation; Porous media; Uniqueness; Duality argument; Vanishing viscosity; Green matrix of parabolic equation;
Keywords: primary; 35L60; 78A70; 35C07; 74J05; secondary; 35Q92; Hyperbolic reaction-diffusion model; Traveling wave solutions; Extended Thermodynamics theory; Nonlinear waves; Turing bifurcation;
Keywords: 35A01; 35B40; 35B44; 35K57; 35Q92; 92C17; Chemotaxis; Traveling wave solutions; Nonlinear stability; Logarithmic sensitivity; Large perturbation; Discontinuous data;
Keywords: 35B40; 35Q35; 35Q92; 76N10; 92C17; Chemotaxis; Shallow water system; Global existence; Decay rates;
Keywords: 35K59; 35Q92; 65G20; 65N35; Rigorous numerics; Cross-diffusion; Steady states; Eigenvalue problem; Spectral analysis; Fixed point argument;
Keywords: 35Q92; 47D06; 45K05; 47G20; 60G51; Growth-fragmentation equation; Spectral analysis; Malthus exponent; Feynman-Kac formula;
Keywords: 92D15; 92D25; 35Q92; 45C05; Adaptive dynamics; Invasion fitness; Chemostat; Evolutionary singular strategy; Growth-fragmentation model; Individual-based model;
Keywords: Anisotropic diffusion; Degenerate diffusion; Large time behaviour; Singularity formation; pattern formation; 35Q92; 92B05; 34B30;
Keywords: 35K57; 35Q92; Reaction-diffusion equation; Spot self-replication; Liouville type theorem; Critical exponent;
Keywords: discontinuous traveling wave; phase transition; entropy condition; 35Q92; 35K93;
Keywords: 35B40; 35K55; 35Q92; 35R35; Free boundary problem; Tumor spheroid; Asymptotic stability; Well-posedness; Gibbs-Thomson relation;
Keywords: 92C17; 92C42; 35R02; 35Q92; 35A01; Chemotaxis; Network; Transmission conditions; Heat kernel;
Keywords: 35J50; 35B32; 35Q92; Coexistence states; Cooperative systems; Variational methods;
Keywords: 35Q92; 45K05; 35B99; Structured populations; Non-local reaction-diffusion equations; Front acceleration;
Keywords: 35Q92; 35K45; 35M11; 42B37; BMOâ2s; Besov space; Well-posedness; Pseudodifferential calculus;
Keywords: 35A01; 35B40; 35B44; 35K57; 35Q92; 92C17; Predator-prey system; Prey-taxis; Boundedness; Global stability; Lyapunov functional; Decay rates;
Keywords: 35A01; 35M31; 35B65; 35Q92; Fisher information; Weak solutions; Hyperbolic-parabolic system;
Keywords: 35B35; 35B40; 35K57; 35Q92; Chemical reaction-diffusion systems; Detailed balance condition; Entropy method;
Keywords: 35B45; 35K45; 35Q92; 92C17; Chemotaxis; Global existence; Lyapunov functional; Adams' inequality;
Keywords: Evolution equations; Accretive operators; Nonlinear population dynamics; Age-structure; Stock-recruitment function35K60; 35K90; 35Q92; 47J35
Keywords: 35B44; 35M33; 35A01; 35Q92; 92C17Chemotaxis–growth system; Blowup; Global solutions; Hyperbolic–elliptic system; Parabolic–elliptic system
Keywords: 35B32; 35Q92; 35R35Free boundary problem; Tumor growth; Stationary solution; Bifurcation
Keywords: pressureless Euler system; Cucker-Smale model; entropy solution; flocking35A15; 35L03; 35L69; 35Q92; 74H05
Keywords: Cancer modeling; Chemotaxis; Merging and emerging concentrations; Finite volume method; IMEX; Adaptive mesh refinement92B05; 35Q92; 65M08; 65M50
Keywords: 35Q92; 35B40; 35G55; 92C17Chemotaxis; Tumor angiogenesis; Energy estimates; Global well-posedness; Decay estimates
Keywords: 35Q83; 35Q92; 35B32; 35B40; 82C27; Kuramoto model; Mean-field limit; Landau damping; Nonlinear stability; Center manifold reduction; Bifurcation;
Keywords: 35A01; 35B40; 35B44; 35K57; 35Q92; 92C17Chemotaxis; Attraction–repulsion; Boundedness; Blowup; Lyapunov functional
Keywords: 35A01; 35B40; 35B44; 35K57; 35Q92; 92C17Chemotaxis; Weighted L2L2-estimates; Boundary layers; BL-thickness
Keywords: Virotherapy; Tumor-virus-immune interactions; Oncolytic virus; Traveling wave analysis; Partial differential equations; 35Q92; 92B05;
Keywords: 35Q92; 92D25; Crop protection; Multi-scale modelling; Metabolic currency; Resource perception; Reaction-diffusion equation; Delia radicum;
Keywords: 35A01; 35B40; 35B44; 35K57; 35Q92; 92C17Chemotaxis; Traveling wave solutions; Asymptotic stability; Boundary effect; Energy estimates
Keywords: 35B25; 35Q92; 80A30; Kinetic chemotaxis model; Internal dynamics; Global solution; Fast adaptation limit;
Keywords: Mean-field modelling; Hyperbolic partial differential equations; Numerical partial differential equations; 35Q92; 65Y05;
Keywords: 35Q92; 35B40; 35G55; 92C17Keller–Segel system; Parabolic–hyperbolic system; Energy estimates; Well-posedness; Asymptotic behavior; Decay properties
Keywords: 35Q92; 35Q70; 35K10Brownian motors; Effective drift; Effective diffusivity; Bloch decomposition
Keywords: 35Q35; 35Q92; 76W05Poisson–Nernst–Planck–Navier–Stokes equations; Energetic variational approach; Well-posedness; Optimal decay
Keywords: 35Q92; 92D25; Population dynamics; Landscape management; Reaction-diffusion model; Ecological intensification; Crop protection; Conservation biological control;
Spiral breakup in a RD system of cardiac excitation due to front-back interaction
Keywords: 35K57; 35Q92; 92B25; 65P20; 65P30; Periodic traveling wave; Spiral wave; Spiral breakup; Cardiac cell dynamics; Excitable media;
Stochastic hybrid models of gene regulatory networks - A PDE approach
Keywords: Gene regulatory networks; Hybrid stochastic model; 35Q92; 65C40;
Existence and non-existence of traveling wave solutions for a nonlocal dispersal SIR epidemic model with nonlinear incidence rate
Keywords: 35Q92; 35R09; 35C07; 92D30; SIR epidemic model; Nonlocal dispersal; Traveling wave solution; Schauder's fixed point theorem;
Well-posedness of weak and strong solutions to the kinetic Cucker-Smale model
Keywords: 35B35; 35D35; 35Q83; 35Q92; Well-posedness; Strong solution; Kinetic Cucker-Smale model; Velocity averaging lemma;
A local sensitivity analysis for the kinetic Cucker-Smale equation with random inputs
Keywords: 35Q82; 35Q92; 37H99; Cucker-Smale model; Flocking; Local sensitivity analysis; Random communication; Uncertainty quantification;
Renormalized radial large-data solutions to the higher-dimensional Keller-Segel system with singular sensitivity and signal absorption
Keywords: primary; 35D30; 35B65; secondary; 35K55; 92C17; 35Q92; Chemotaxis; Global existence; Renormalized solution; Generalized solution;
Large global-in-time solutions to a nonlocal model of chemotaxis
Keywords: 35Q92; 35B44; 35K55; 35A01; Model of chemotaxis; Fractional Laplacian; Global existence of solutions; Blowup of solutions;
Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement
Keywords: primary; 35B40; 35K55; secondary; 35Q92; 35Q35; 92C17; Chemotaxis; Stokes; Nonlinear diffusion; Boundedness; Stabilization; Maximal Sobolev regularity;
Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D
Keywords: primary; 35B65; 35B40; secondary; 35K35; 35Q92; 92C17; Chemotaxis; Stokes; Chemotaxis-fluid interaction; Global existence; Generalized solution; Eventual regularity; Stabilization;