Grant: Discovery Grants Program - Individual
Wilfrid Laurier University
$10,000.00
Stability of functional differential equations in mathematical epidemiology and ecology: when do delayed effects affect the outcome?
FY 2015-16
Summary
When a biological system oscillates, one of the usual suspects is delay. That is, we suspect that the underlying rules that govern how the system changes depend, to some degree, on the state of the system at an earlier time. For example, current human population growth is affected by the population size nine months ago.
In some cases a delay does not have any significant effect, and so we say the delay is harmless. The main objective of my research program is to study the effect that delayed influences have on models in epidemiology, including determining when these delays are harmless.
As more delays are introduced into a system, it may seem inevitable that oscillations would occur, however this is not always the case. It seems that there are certain strongly stabilizing qualities associated with epidemic models. Unfortunately, there is not a full understanding of what these qualities are.
In summary, when are delays harmless and why?
Program
Discovery Grants Program - Individual
Recipient
Location
Ontario, Canada
Recipient Type
Academia
Type
Grant
Source
NSERC's Awards Data
As published
Application id
327408-2011
Name nom
McCluskey, Connell
Department département
Mathematics
Organization id
35
Institution établissement
Wilfrid Laurier University
Province en
Ontario
Province fr
Ontario
Country en
CANADA
Country fr
CANADA
Fiscal year exercice financier
2015
Competition year année de concours
2011
Award amount
10000
Program id
RGPIN
Program name en
Discovery Grants Program - Individual
Program name fr
Programme de subventions à la découverte - individuelles
Group en
Discovery grants programs
Group fr
Programmes de subventions à la découverte
Committee code
1508
Committee name en
Mathematics and Statistics
Committee name fr
Mathématiques et statistique
Area of application code
1205
Area of application group en
Advancement of knowledge
Area of application group fr
Avancement des connaissances
Area of application en
Mathematical sciences
Area of application fr
Sciences mathématiques
Research subject code
2957
Research subject group en
Applied mathematics
Research subject group fr
Mathématiques appliquées
Research subject en
Mathematical biology andphysiology
Research subject fr
Mathématiques de la biologie et de la physiologie
Partie
5
Nb partie
5
Application title
Stability of functional differential equations in mathematical epidemiology and ecology: when do delayed effects affect the outcome?
Keyword
NSERC
Application summary
When a biological system oscillates, one of the usual suspects is delay. That is, we suspect that the underlying rules that govern how the system changes depend, to some degree, on the state of the system at an earlier time. For example, current human population growth is affected by the population size nine months ago.
In some cases a delay does not have any significant effect, and so we say the delay is harmless. The main objective of my research program is to study the effect that delayed influences have on models in epidemiology, including determining when these delays are harmless.
As more delays are introduced into a system, it may seem inevitable that oscillations would occur, however this is not always the case. It seems that there are certain strongly stabilizing qualities associated with epidemic models. Unfortunately, there is not a full understanding of what these qualities are.
In summary, when are delays harmless and why?
