2014 Fiscal Year Final Research Report
Mathematical epidemic models for the rapidly growing infection of HTLVI
Project/Area Number 
24540137

Research Category 
GrantinAid for Scientific Research (C)

Allocation Type  Multiyear Fund 
Section  一般 
Research Field 
General mathematics (including Probability theory/Statistical mathematics)

Research Institution  Osaka Prefecture University 
Principal Investigator 
TABATA Minoru 大阪府立大学, 工学(系)研究科(研究院), 教授 (70207215)

CoInvestigator(Kenkyūbuntansha) 
ESHIMA Nobuoki 大分大学, 医学部, 教授 (20203630)

Project Period (FY) 
20120401 – 20150331

Keywords  数理疫学モデル 
Outline of Final Research Achievements 
We consider a spatially continuous evolutionary game whose payoffs are defined as the density of real wages that is determined by the continuous DixitStiglitzKrugman model in an urban setting. By this evolutionary game we can clarify the mathematical property of population concentration phenomena. This evolutionary game is expressed by the initial value problem for the replicator equation whose growth rate contains an operator which acts on an unknown function that denotes the density of workers. We prove that this initial value problem has a unique global solution that converges to Dirac delta function. By this result we can clarify the diffusion of HTLVI caused by the migration of workers motivated by disparity in real wages.

Free Research Field 
Mathematical epidemiology
