Dodds, Niall

Dr

  • United Kingdom

  • 39 Citations
  • 4 h-Index
20062012
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Spectral Properties Mathematics
Competition Model Mathematics
Elliptic Operator Mathematics
Operator Mathematics
Differential operator Mathematics
Bistable System Mathematics
Eigenfunctions Mathematics
Nodal Solutions Mathematics

Research Output 2006 2012

  • 39 Citations
  • 4 h-Index
  • 8 Article
  • 1 Chapter
3 Citations (Scopus)

A 3-species competition model for bio-control

Alzahrani, E. O., Davidson, F. A. & Dodds, N., 1 Jun 2012, In : Applied Mathematics and Computation. 218, 19, p. 9690-9698 9 p.

Research output: Contribution to journalArticle

Biocontrol
Competition Model
Reverse
Resources
Interaction
8 Citations (Scopus)

Reversing invasion in bistable systems

Alzahrani, E. O., Davidson, F. A. & Dodds, N., Dec 2012, In : Journal of Mathematical Biology. 65, 6-7, p. 1101-1124 24 p.

Research output: Contribution to journalArticle

Bistable System
Motility
Invasion
Competition Model
Wave Speed
11 Citations (Scopus)

Travelling waves in near-degenerate bistable competition models

Alzahrani, E. O., Davidson, F. A. & Dodds, N., 2010, In : Mathematical Modelling of Natural Phenomena. 5, 5, p. 13-35 23 p.

Research output: Contribution to journalArticle

Competition Model
Traveling Wave
Diffusion Coefficient
Trivial
Limiting
4 Citations (Scopus)

Further spectral properties of uniformly elliptic operators that include a non-local term

Dodds, N., Mar 2008, In : Applied Mathematics and Computation. 197, 1, p. 317-327 11 p.

Research output: Contribution to journalArticle

Elliptic Operator
Spectral Properties
Eigenvalue
Term
Operator

Spectral properties and nodal solutions for second-order, m-point, p-Laplacian boundary value problems

Dodds, N. & Rynne, B. P., 2008, In : Topological Methods in Nonlinear Analysis. 32, 1, p. 21-40 20 p.

Research output: Contribution to journalArticle

Nodal Solutions
P-Laplacian
Spectral Properties
Boundary value problems
Boundary Value Problem

Thesis

Non-local differential equations

Author: Dodds, N., 2005

Supervisor: Davidson, F. (Supervisor)

Student thesis: Doctoral ThesisDoctor of Philosophy