Parallels between metapopulations and disease dynamics

Alan Hastings (April 11, 2014)

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Slides

0:08 Parallels between disease and metapopulation dynamics
2:18 Metapopulations are a central issue in ecology
4:58 Goal of the talk is simple
6:25 Perhaps the simplest epidemiological modal is the SIS model
7:37 Perhaps the simplest epidemiological model is the SIS model
8:01 Lets change the name of the variable
8:02 Ecologists do not like greek
8:11 Ecologists do not like any greek
8:52 And S are empty, I are occupied, and we have the classic Levinsmodel
9:21 So persistence condition as usual is given by R0
10:08 Assumptions underlying the simple Levins model
11:09 Assumptions underlying the simple SIS model
12:02 Assumptions underlying the simple Levins model
12:14 Within patch dynamics of metapopulations
13:26 So persistence condition as usual is given by R0 which can be estimated as …
14:40 How hard can it be to estimate persistence
15:17 How hard can it be to estimate persistence continued
17:32 References
18:13 Explicit consideration of population size within patches has a long history
20:52 Explicit consideration of population size within patches
22:21 Differences in patch quality
22:44 Metapopulation capacity is a way to describe persistence in a relatively small network
23:55 Metacommunities =? Multiple disease or strain dynamics?
25:09 Metacommunities =? Multiple disease or strain dynamics? Continued
25:33 Disease Dynamics Models/Metapopulcation, Metacommunity Dynamics Models
26:12 Acknowledgements

Abstract

Within host dynamics in diseases is essentially the same as dynamics within metapopulations in an ecological context. I will review results from metapopulation models, and draw parallels to disease dynamics. I will emphasize both similarities and differences. The goal will be to see how various assumptions about within host (equivalently within patch) dynamics reduce the complexity of the model and study and lead to models which can be studied analytically.