Invasion and spreading phenomena in prey-predator type reaction diffusion systems via entropy method

KAKEN

About This Project

Japan Grant Number
JP24K06817 (JGN)
Funding Program
Grants-in-Aid for Scientific Research
Funding Organization
Japan Society for the Promotion of Science

Kakenhi Information

Project/Area Number
24K06817
Research Category
Grant-in-Aid for Scientific Research (C)
Allocation Type
  • Multi-year Fund
Review Section / Research Field
  • Basic Section 12020:Mathematical analysis-related
Research Institution
  • Tokyo Metropolitan University
Project Period (FY)
2024-04-01 〜 2028-03-31
Project Status
Granted
Budget Amount*help
4,550,000 Yen (Direct Cost: 3,500,000 Yen Indirect Cost: 1,050,000 Yen)

Research Abstract

数理生態学や化学反応などで自然に表れる反応拡散方程式の侵入現象を解析する.以下の３つの課題の研究を行う．課題1:被食者捕食者系を含む反応拡散系のフロント型進行波の存在と安定性.課題2:温暖化などの気候変動を考慮した生物種の絶滅現象に関わる反応拡散方程式の侵入現象．課題3:非局所的な拡散効果がある反応拡散方程式系に対する,広がり波面の伝播現象と進行波の安定性.

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