16 citations · 42 across the 10 of their papers we have counts for
11 papers
The effect of host population heterogeneity on epidemic outbreaks
Martin Bootsma, Danny Chan, Odo Diekmann +1
In the first part of this paper, we review old and new results about the influence of host population heterogeneity on (various characteristics of) epidemic outbreaks. In the secon…
On competition through growth reduction
Carles Barril, Àngel Calsina, Odo Diekmann +1
We consider a population organised hierarchically with respect to size in such a way that the growth rate of each individual depends only on the presence of larger individuals. As…
A systematic procedure for incorporating separable static heterogeneity into compartmental epidemic models
Odo Diekmann, Hisashi Inaba
In this paper, we show how to modify a compartmental epidemic model, without changing the dimension, such that separable static heterogeneity is taken into account. The derivation…
Modelling physiologically structured populations: renewal equations and partial differential equations
Eugenia Franco, Odo Diekmann, Mats Gyllenberg
We analyse the long term behaviour of the measure-valued solutions of a class of linear renewal equations modelling physiologically structured populations. The renewal equations th…
On the formulation of size-structured consumer resource models (with special attention for the principle of linearised stability)
Carles Barril, Àngel Calsina, Odo Diekmann +1
To describe the dynamics of a size-structured population and its unstructured resource, we formulate bookkeeping equations in two different ways. The first, called the PDE formulat…
Numerical bifurcation analysis of renewal equations via pseudospectral approximation
Francesca Scarabel, Odo Diekmann, Rossana Vermiglio
We propose an approximation of nonlinear renewal equations by means of ordinary differential equations. We consider the integrated state, which is absolutely continuous and satisfi…
Pseudospectral approximation of Hopf bifurcation for delay differential equations
Babette de Wolff, Francesca Scarabel, Sjoerd Verduyn Lunel +1
Pseudospectral approximation reduces DDE (delay differential equations) to ODE (ordinary differential equations). Next one can use ODE tools to perform a numerical bifurcation anal…
Twin semigroups and delay equations
Odo Diekmann, Sjoerd Verduyn Lunel
In the standard theory of delay equations, the fundamental solution does not 'live' in the state space. To eliminate this age-old anomaly, we enlarge the state space. As a conseque…
Mean field at distance one
Ka Yin Leung, Mirjam Kretzschmar, Odo Diekmann
To be able to understand how infectious diseases spread on networks, it is important to understand the network structure itself in the absence of infection. In this text we conside…
Dangerous connections: on binding site models of infectious disease dynamics
Ka Yin Leung, Odo Diekmann
We formulate models for the spread of infection on networks that are amenable to analysis in the large population limit. We distinguish three different levels: (1) binding sites, (…
Structured populations with distributed recruitment: from PDE to delay formulation
Àngel Calsina, Odo Diekmann, József Z. Farkas
In this work first we consider a physiologically structured population model with a distributed recruitment process. That is, our model allows newly recruited individuals to enter…