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Research talks;Dynamical Systems and Ordinary Differential Equations;Mathematics in Science and Technology

The aim is to describe the distribution of immune status in an age-structured population on the basis of a within-host sub-model [1] for continuous waning and occasional boosting. Inspired by both Feller's fundamental work [2] and the more recent delay equation formulation of physiologically structured populations [3,4], we derive, for a given force of infection, a linear renewal equation that can be solved by successive approximation, i.e., by generation expansion (with the generation number corresponding to the number of times an individual became infected).
In joint work in progress with Wilfred de Graaf, Peter Teunis and Mirjam Kretzschmar we want to use either the generation expansion or an invariant/stable distribution as the starting point for the efficient computation of coarse statistics. The aim is to describe the distribution of immune status in an age-structured population on the basis of a within-host sub-model [1] for continuous waning and occasional boosting. Inspired by both Feller's fundamental work [2] and the more recent delay equation formulation of physiologically structured populations [3,4], we derive, for a given force of infection, a linear renewal equation that can be solved by successive approximation, i.e., by ...

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Documents 45D05 | enregistrements trouvés : 45

Boosting and waning: on the dynamics of immune status Diekmann, Odo | CIRM H Nouveau

Constructive methods for the practical treatment of integtal equationsproceedings of the conference at the mathematisches forschungsinstitut,oberwol fach,june 24-30,1984 Hammerlin, G. ; Hoffmann, K. H. | Birkhäuser Verlag 1985 Nouveau

Fractional calculus and its applicationsproceedings of the international conferenceJune 15-16 Ross, Bertram | Springer-Verlag 1975 Nouveau

Seminar on differential equations and dynamical systems II Yorke, J. A. | Springer-Verlag 1970 Nouveau

Treatment of integral equation by numerical methodsbased on the proceedings of a symposium held in Durham,19-29 july,1982, organized under the auspice of the l.m. s. Baker, Christopher T. H. ; Miller, Geoffrey F. | Academic Press 1982 Nouveau

Trends in the theory and practice of non-linear analysisproceedings of the vith international conference on... held at the university of texas at arlington,june 18-22, 1984 Lakshmikantham, V. | North-Holland 1985 Nouveau

Volterra equations :proceedings of the helsinki symposium on integral equations#Aug. 11-14 Londen, Stig-Olof ; Staffans, Olof J. | Springer-Verlag 1979 Nouveau

Abel integral equationsanalysis and applications Gorenflo, Rudolf ; Vessella, Sergio | Springer-Verlag 1991 Nouveau

Analytical and numerical methods for volterra equations Linz, Peter | S.I.A.M. 1985 Nouveau

Applications physiques de la transformation de Laplace. Vol. I :méthodes de calcul Parodi, Maurice ; Pérès, Joseph | CNRS 1948 Nouveau

Approximations successives et équations différentielles Cotton, Emile | Gauthier-Villars et Cie. 1928 Nouveau

Differential and integral inequalities. Vol. II :theory and applicationsfunctional, partial, abstract, and complex différential equations Lakshmikantham, V. ; Leela, S. | Academic Press 1969 Nouveau

Evolutionary integral equation and applications Prüss, Jan | Birkhäuser Verlag 1993 Nouveau

Exercices et leçons d'analyse :quadrature, équations différentielles#équations intégrales de M. Fredholm et de M. Volterra#équations aux dérivées partielles du second ordre D'Adhémar, R. | Gauthier-Villars 1908 Nouveau

Finite element methods for integrodifferential equations Chen, Chuanmiao ; Shih, Tsimin | World Scientific 1998 Nouveau

Generalized semigroups and cosine functions Kostic, Marko | Matematicki Institut SANU 2011 Nouveau

Ill-posed problems of mathematical physics and analysis Lavrent'Ev, M. A. ; Romanov, V. G. ; Shishat-Skii , S. P. ; Leifman, Lev J. | American Mathematical Society 1986 Nouveau

Integral equation A reference text Anderssen, Robert S. ; Mikhlin, S. G. ; Shaposhnikova, T. O. | Noordhoff International Publishing 1975 Nouveau

Integral equations Tricomi, F. G. | John Wiley And Sons 1957 Nouveau

Integral equations :theory ande numerical treatment Hackbusch, Wolfgang | Birkhäuser Verlag 1995 Nouveau

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Constructive methods for the practical treatment of integtal equations
proceedings of the conference at the mathematisches forschungsinstitut,oberwol fach,june 24-30,1984 Hammerlin, G. ; Hoffmann, K. H. | Birkhäuser Verlag 1985 Nouveau

Fractional calculus and its applications
proceedings of the international conference
June 15-16 Ross, Bertram | Springer-Verlag 1975 Nouveau

Treatment of integral equation by numerical methods
based on the proceedings of a symposium held in Durham,19-29 july,1982, organized under the auspice of the l.m. s. Baker, Christopher T. H. ; Miller, Geoffrey F. | Academic Press 1982 Nouveau

Trends in the theory and practice of non-linear analysis
proceedings of the vith international conference on... held at the university of texas at arlington,june 18-22, 1984 Lakshmikantham, V. | North-Holland 1985 Nouveau

Volterra equations :
proceedings of the helsinki symposium on integral equations#Aug. 11-14 Londen, Stig-Olof ; Staffans, Olof J. | Springer-Verlag 1979 Nouveau

Abel integral equations
analysis and applications Gorenflo, Rudolf ; Vessella, Sergio | Springer-Verlag 1991 Nouveau

Applications physiques de la transformation de Laplace. Vol. I :
méthodes de calcul Parodi, Maurice ; Pérès, Joseph | CNRS 1948 Nouveau

Differential and integral inequalities. Vol. II :
theory and applications
functional, partial, abstract, and complex différential equations Lakshmikantham, V. ; Leela, S. | Academic Press 1969 Nouveau

Exercices et leçons d'analyse :
quadrature, équations différentielles#équations intégrales de M. Fredholm et de M. Volterra#équations aux dérivées partielles du second ordre D'Adhémar, R. | Gauthier-Villars 1908 Nouveau

Integral equations :
theory ande numerical treatment Hackbusch, Wolfgang | Birkhäuser Verlag 1995 Nouveau