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of 298
pro vyhledávání: '"DIEKMANN, ODO"'
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 second part we highlight a modelling issue that so far has received little
Externí odkaz:
http://arxiv.org/abs/2308.06593
Publikováno v:
Journal of Mathematical Biology 88, 66 (2024)
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 concrete example one might think of a forest, in which the incidence
Externí odkaz:
http://arxiv.org/abs/2303.02981
Autor:
Diekmann, Odo, Inaba, Hisashi
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 is based on the Kermack-McKendrick renewal equation.
Externí odkaz:
http://arxiv.org/abs/2207.02339
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 that we consider are characterised by a regularisation property of the k
Externí odkaz:
http://arxiv.org/abs/2201.05323
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 formulation, is rather standard. It employs a first order partial differential
Externí odkaz:
http://arxiv.org/abs/2111.09678
We propose an approximation of nonlinear renewal equations by means of ordinary differential equations. We consider the integrated state, which is absolutely continuous and satisfies a delay differential equation. By applying the pseudospectral appro
Externí odkaz:
http://arxiv.org/abs/2012.05364
Pseudospectral approximation reduces DDE (delay differential equations) to ODE (ordinary differential equations). Next one can use ODE tools to perform a numerical bifurcation analysis. By way of an example we show that this yields an efficient and r
Externí odkaz:
http://arxiv.org/abs/2006.13810
Autor:
Diekmann, Odo, Lunel, Sjoerd Verduyn
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 consequence, we lose the strong continuity of the solution operators and this,
Externí odkaz:
http://arxiv.org/abs/1906.03409
Publikováno v:
Proceedings of the National Academy of Sciences of the United States of America, 2021 Sep . 118(39), 1-9.
Externí odkaz:
https://www.jstor.org/stable/27075799
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 consider dynamic network models that are inspired by the (static) configurati
Externí odkaz:
http://arxiv.org/abs/1701.02128