PARAMETER ESTIMATION IN EPIDEMIC MODELS: SIMPLIFIED FORMULAS Dedicated to Herb Freedman on the occasion of his seventieth birthday
نویسنده
چکیده
We consider the problem of identifying the time-dependent transmission rate from incidence data and from prevalence data in epidemic SIR, SIRS, and SEIRS models. We show closed representation formulas avoiding the computation of higher derivatives of the data or solving differential equations. We exhibit the connections between the formulas given in several recent papers. In particular we explain the difficulties to estimate the initial number of susceptible or, equivalently, the initial transmission rate.
منابع مشابه
Some remarks on the computation of complements and normalizers in soluble groups
Dedicated to Wolfgang Gasch utz, to whom we owe so much of our understanding of soluble groups, on the occasion of his seventieth birthday 1. Introduction.
متن کاملGraded self-injective algebras “are” trivial extensions
Article history: Received 20 March 2009 Available online 9 June 2009 Communicated by Michel Van den Bergh Dedicated to Professor Helmut Lenzing on the occasion of his seventieth birthday
متن کاملEVOLUTIONARY STABILITY OF IDEAL FREE DISPERSAL STRATEGIES: A NONLOCAL DISPERSAL MODEL Dedicated to Herb Freedman on the occasion of his 70th birthday
ABSTRACT. An important question in the study of the evolution of dispersal is what kind of dispersal strategies are evolutionary stable. This work is motivated by recent work of Cosner et al. [9], in which they introduced a class of ideal free dispersal kernels and found conditions suggesting that they determine evolutionarily stable dispersal strategies. The goals of this paper are to introduc...
متن کاملEXPONENTIABILITY IN CATEGORIES OF LAX ALGEBRAS Dedicated to Nico Pumplün on the occasion of his seventieth birthday
For a complete cartesian-closed category V with coproducts, and for any pointed endofunctor T of the category of sets satisfying a suitable Beck-Chevalley-type condition, it is shown that the category of lax reflexive (T,V)-algebras is a quasitopos. This result encompasses many known and new examples of quasitopoi.
متن کاملOn the Possibility of Stress Determination by Consideration of Pendellösung Effect
Dedicated to Prof. G. Hildebrandt on the occasion of his 60th birthday In this paper a simplified method of stress estimation is proposed. The calculation is based on the Pendellösung effect (i.e. beat of two Bloch waves). It is assumed that lattice distortion causes a local change of fringe spacing. The results of the calculations appear to be consistent with results based on the consideration...
متن کامل