Geodesic

Issue no. 1 Table of Contents

Conserved Vectors for a Model of Nonlinear Atmospheric Flows Around The Rotating Spherical Surface
p. 1-17
Properties of Discrete Framelet Transforms
p. 18-47
Inequalities for Extreme Zeros of Some Classical Orthogonal and q-orthogonal Polynomials
p. 48-59
3D Data Denoising Using Combined Sparse Dictionaries
p. 60-74
A Remark on the Hull of a Multi-Dimensional Limit-Periodic Potential
p. 75-81
The Construction of Smooth Parseval Frames of Shearlets
p. 82-105
Identifiability for Linearized Sine-Gordon Equation
p. 106-121
Nonlinear Whirlpools Versus Harmonic Waves in a Rotating Column of Stratified Fluid
p. 122-131
Semiclassical Limits of Heat Kernels of Laplacians on the h-Heisenberg Group
p. 132-142
Nonlinear Eigenvalue Problem for Optimal Resonances in Optical Cavities
p. 143-155
Stability and Separation in Volume Comparison Problems
p. 156-169
Derivatives of Lp Eigenfunctions of Schrödinger Operators
p. 170-174
Boundedness of Pseudo-Differential Operators on Lp, Sobolev and Modulation Spaces
p. 175-192
Heat Transfer in a Medium in Which Many Small Particles Are Embedded
p. 193-199
Inverse Scattering Problem for the Maxwell’s Equations
p. 200-206
Spectral Properties of Schrödinger-type Operators and Large-time Behavior of the Solutions to the Corresponding Wave Equation
p. 207-214
Continuous Inversion Formulas for Multi-Dimensional Stockwell Transforms
p. 215-229
An Open Problem in Complex Analytic Geometry Arising in Harmonic Analysis
p. 230-236
Sharp Semiclassical Bounds for the Moments of Eigenvalues for Some Schrödinger Type Operators with Unbounded Potentials
p. 237-245

Issue no. 2 Table of Contents

Inverse Stable Subordinators
p. 1-16
Continuous Time Random Walks with Reactions Forcing and Trapping
p. 17-27
Non-homogeneous Random Walks, Subdiffusive Migration of Cells and Anomalous Chemotaxis
p. 28-43
Application of Fractional Differential Equations in Modelling the Subdiffusion–Reaction Process
p. 44-54
An Explicitly Solvable Nonlocal Eigenvalue Problem and the Stability of a Spike for a Sub-Diffusive Reaction-Diffusion System
p. 55-87
Dynamics in Nonlinear Schrödinger Equation with dc bias: From Subdiffusion to Painlevé Transcendent
p. 88-99
Elucidating the Role of Subdiffusion and Evanescence in the Target Problem: Some Recent Results
p. 100-113
Bulk-mediated Surface Diffusion on a Cylinder in the Fast Exchange Limit
p. 114-126
Generalized Elastic Model: Fractional Langevin Description, Fluctuation Relation and Linear Response
p. 127-143
Rocking Subdiffusive Ratchets: Origin, Optimization and Efficiency
p. 144-158

Issue no. 3 Table of Contents

Preface
p. 1
Existence of Reaction-Diffusion Waves with Nonlinear Boundary Conditions
p. 2-17
Asymptotic Behavior of Solutions to Diffusion Problems with Robin and Free Boundary Conditions
p. 18-32
Wave-like Solutions for Nonlocal Reaction-diffusion Equations: a Toy Model
p. 33-41
Inside Dynamics of Delayed Traveling Waves
p. 42-59
Spatial Dynamics of A Reaction-Diffusion Model with Distributed Delay
p. 60-77
Entire Solutions in Lattice Delayed Differential Equations with Nonlocal Interaction: Bistable Cases
p. 78-103
Existence and Stability of Travelling Front Solutions for General Auto-catalytic Chemical Reaction Systems
p. 104-132
Bifurcation Approach to Analysis of Travelling Waves in Some Taxis–Cross-Diffusion Models
p. 133-153
A Reaction Diffusion Model for Inter-Species Competition and Intra-Species Cooperation
p. 154-181
Finite Element Computation of KPP Front Speeds in 3D Cellular and ABC Flows
p. 182-197
Turbulent Flame Speeds of G-equation Models in Unsteady Cellular Flows
p. 198-205
Calcium Waves in Thin Visco-Elastic Cells
p. 206-226

Issue no. 4 Table of Contents

Preface
p. 1-4
Mathematical Modelling Plant Signalling Networks
p. 5-24
Pollen Tubes With More Viscous Cell Walls Oscillate at Lower Frequencies
p. 25-34
Mathematical Models for Expansive Growth of Cells with Walls
p. 35-61
Deformable Cell Model and its Application to Growth of Plant Meristem
p. 62-79
Homogenization Approach to Water Transport in Plant Tissues with Periodic Microstructures
p. 80-111
Development and Evaluation of Plant Growth Models: Methodology and Implementation in the PYGMALION platform
p. 112-130

Issue no. 5 Table of Contents

Wave Trains Associated with a Cascade of Bifurcations of Space-Time Caustics over Elongated Underwater Banks
p. 1-12
Global Bifurcation for the Whitham Equation
p. 13-30
Stability of Traveling Waves in Partly Parabolic Systems
p. 31-47
Examples of Lorenz-like Attractors in Hénon-like Maps
p. 48-70
On Global Bifurcations of Three-dimensional Diffeomorphisms Leading to Lorenz-like Attractors
p. 71-83
Moving and Breathing Localized Structures in Reaction-diffusion Systems
p. 84-94
Complex Dynamics in Predator-prey Models with Nonmonotonic Functional Response and Harvesting
p. 95-118
Bifurcation of Nonlinear Conservation Laws from the Classical Energy Conservation Law for Internal Gravity Waves in Cylindrical Wave Field
p. 119-130
Instabilities and Dynamics of Weakly Subcritical Patterns
p. 131-154
Dynamical Features in a Slow-fast Piecewise Linear Hamiltonian System
p. 155-172
The Dynamical Impact of a Shortcut in Unidirectionally Coupled Rings of Oscillators
p. 173-189
On Abrikosov Lattice Solutions of the Ginzburg-Landau Equation
p. 190-205
The Stability and Slow Dynamics of Two-Spike Patterns for a Class of Reaction-Diffusion System
p. 206-232

Issue no. 6 Table of Contents

Mathematical Modelling in Theoretical Ecology: Introduction to the Special Issue
p. 1-4
The Effect of Different Communication Mechanisms on the Movement and Structure of Self-Organised Aggregations
p. 5-24
Multitrophic Interactions in the Sea: Assessing the Effect of Infochemical-Mediated Foraging in a 1-d Spatial Model
p. 25-44
The Effect of Habitat Fragmentation on Cyclic Populations with Edge Behaviour
p. 45-63
Travelling Waves in Plankton Dynamics
p. 64-79
Spatial Demogenetic Model for Studying Phenomena Observed upon Introduction of the Ragweed Leaf Beetle in the South of Russia
p. 80-95
Biological Invasions in Heterogeneous Environments: The Coupled Map Lattice Framework
p. 96-106
Reduction of Discrete Dynamical Systems with Applications to Dynamics Population Models
p. 107-129
A Model of a Multi-Site Fishery with Variable Price: from Over-Exploitation to Sustainable Fisheries
p. 130-142
Allee Effect in Gause Type Predator-Prey Models: Existence of Multiple Attractors, Limit cycles and Separatrix Curves. A Brief Review
p. 143-164
Resource Competition: A Bifurcation Theory Approach
p. 165-185