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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

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

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

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

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

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

Limiting equations for problems involving long range memory Marcus, M. ; Mizel, Victor | American Mathematical Society 1983 Nouveau

Numerische methoden der analysis Demidowitsch, B. P. ; Maron, I. A. ; Schuwalowa , E. S. | Veb Deutscher Verlag Der Wissenschaften 1968 Nouveau

Stabilitätsanalyse der kollokationmethode für Volterra-integral-gleichungen mit schwach singulärem kern Blank, Luise | Rheinischen Friedrich-Wilhelms-Universität 1991 Nouveau

Volterra-Stieltjes integral equations and generalized ordinary differential expressions Mingarelli, Angelo B. | Springer-Verlag 1983 Nouveau

Volterra integral and differential equations Burton, T. A. | Academic Press 1983 Nouveau

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

Mathematical models of epidemics Lauwerier, H. A. | Mathematisch Centrum 1985 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

Non-oscillation domains of differential equations with two parameters Mingarelli, Angelo B. ; Halvorsen, S. Gotskalk | Springer-Verlag 1988 Nouveau

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

Volterra integral and functional equations Gripenberg, G. ; Londen, S. O. ; Staffans , O. | Cambridge University Press 1990 Nouveau

The numerical treatment of integral equations Baker, Christopher T. H. | Clarendon Press 1977 Nouveau

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

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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

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

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

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

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