2011 Fiscal Year Final Research Report
On Mathematical Structure of Time-Discrete Model for Epidemic Population Dynamics
| Project/Area Number |
21540130
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
|
|---|
| Research Institution | Hiroshima University |
|---|
Principal Investigator |
SENO Hiromi 広島大学, 大学院・理学研究科, 准教授 (50221338)
|
|---|
| Project Period (FY) |
2009 – 2011
|
| Keywords | 数理生物学 / 数理モデル / モデル化 / 差分方程式 / 感染症 / 生態学 / 応用数学 / 公衆衛生学 |
|---|
| Research Abstract |
We proposed and mathematically analyzed some new time-discrete models with non-linear difference equations, which are derived by a mathematical modeling applied the stochastic process, in comparison to some basic time-continuous models of epidemic population dynamics with ordinary differential equations, which have been applied for many other subjects in population dynamics. Further for our new models, we can define the expected reproduction number of infectives in a natural manner, and we obtained some fundamental issues about its mathematical nature.
|
Research Products
(20 results)
