Analytical investigation and numerical approximation of hierarchically size-structured population models.
Lead Research Organisation:
University of Stirling
Department Name: Computing Science and Mathematics
Abstract
Structured population dynamical models are of interest of applied mathematicians and theoretical biologists. They approximate real world populations in a much more sophisticated way than the classical ordinary differential equation models of population dynamics. Our main goal in the present project is to understand the long time behaviour of solutions of a very general size-structured model where competition between individuals is based upon a hierarchy in the population related to individuals size.
Organisations
People |
ORCID iD |
| Jozsef Farkas (Principal Investigator) |
Publications
Jozsef Farkas (Author)
(2010)
Hierarchical size-structured populations: The linearized semigroup approach
in Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
Farkas J
(2010)
Size-structured populations: immigration, (bi)stability and the net growth rate
in Journal of Applied Mathematics and Computing
| Description | Asymptotic behaviour of models of structured population dynamics |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Primary Audience | Postgraduate students |
| Results and Impact | Colloquium talk at Department of Mathematics, University of Louisiana at Lafayette, USA. |
| Year(s) Of Engagement Activity | 2008 |
| Description | Results on the asymptotic behaviour of some physiologically structured population models: Scramble vs. contest competition |
| Form Of Engagement Activity | Scientific meeting (conference/symposium etc.) |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Participants in your research or patient groups |
| Results and Impact | Invited conference talk at International Conference on Interdisciplinary Mathematical & Statistical Techniques, May 15-18, 2008, Memphis, TN, USA. |
| Year(s) Of Engagement Activity | 2008 |
| Description | Structured population dynamics: Delay vs. PDE formulation |
| Form Of Engagement Activity | Scientific meeting (conference/symposium etc.) |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Participants in your research or patient groups |
| Results and Impact | Invited conference talk at World Congress of Nonlinear Analysts, July 3-10, 2008, Orlando, FL, USA. |
| Year(s) Of Engagement Activity | 2008 |
| Description | Structured populations: Stability, immigration and the net growth rate |
| Form Of Engagement Activity | Scientific meeting (conference/symposium etc.) |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Participants in your research or patient groups |
| Results and Impact | Invited conference talk at The 7th AIMS Conference on Dynamical Systems and Differential Equations, May 18-21, 2008, Arlington, TX, USA . |
| Year(s) Of Engagement Activity | 2008 |