Mathematical epidemic models for the rapidly growing infection of HTLV-I

2014 Fiscal Year Final Research Report

• Project/Area Number: 24540137
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year 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)
• Co-Investigator(Kenkyū-buntansha): ESHIMA Nobuoki 大分大学, 医学部, 教授 (20203630)
• Project Period (FY): 2012-04-01 – 2015-03-31
• 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 Dixit-Stiglitz-Krugman 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 HTLV-I caused by the migration of workers motivated by disparity in real wages.

Free Research Field

Mathematical epidemiology