| EPSRC Reference: |
GR/S08664/01 |
| Title: |
Soliton-type interaction and pattern formation in non-standard reaction-diffusion systems |
| Principal Investigator: |
Biktashev, Professor VN |
| Other Investigators: |
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| Department: |
Mathematical Sciences |
| Organisation: |
University of Liverpool |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
22 February 2003 |
Ends: |
21 February 2004 |
Value (£): |
9,714
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| EPSRC Research Topic Classifications: |
| Development (Biosciences) |
Non-linear Systems Mathematics |
| Population Ecology |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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Reaction-diffusion systems of equations arise commonly in the description of a large variety of physical, chemical and biological processes. Applications in mathematical biology motivate the extension of this class of systems to include taxis, i.e. directed transport of the dynamic quantities in response to fields that are either externally imposed or result from the dynamics of the system itself. The properties of such systems have been studied much less. The purpose of this project is to study the mechanisms of wave and pattern formation in a two-component system with excitable and oscillatory kinetics, such as found in predator-prey systems, and with taxis of the two components towards and away from each other, such as pursuit of prey by, and their evasion from the predators. Preliminary studies have shown qualitatively new phenomena due to the taxis terms, such as different character of wave propagation or their penetration through each other. In this project, we will investigate properties and mechanisms of these new phenomena.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.liv.ac.uk |