Lefèvre, Claude; Simon, Matthieu On the risk of ruin in a SIS type epidemic. (English) Zbl 1489.91223 Methodol. Comput. Appl. Probab. 24, No. 2, 939-961 (2022). MSC: 91G05 92D30 60J28 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{M. Simon}, Methodol. Comput. Appl. Probab. 24, No. 2, 939--961 (2022; Zbl 1489.91223) Full Text: DOI
Lefèvre, Claude; Simon, Matthieu Ruin problems for epidemic insurance. (English) Zbl 1481.91172 Adv. Appl. Probab. 53, No. 2, 484-509 (2021). MSC: 91G05 92D30 60J28 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{M. Simon}, Adv. Appl. Probab. 53, No. 2, 484--509 (2021; Zbl 1481.91172) Full Text: DOI
Lefèvre, Claude; Picard, Philippe; Simon, Matthieu; Utev, Sergey A chain binomial epidemic with asymptomatics motivated by COVID-19 modelling. (English) Zbl 1475.92176 J. Math. Biol. 83, No. 5, Paper No. 54, 32 p. (2021). MSC: 92D30 92C60 60G44 60J85 PDFBibTeX XMLCite \textit{C. Lefèvre} et al., J. Math. Biol. 83, No. 5, Paper No. 54, 32 p. (2021; Zbl 1475.92176) Full Text: DOI
Lefèvre, Claude; Picard, Philippe; Utev, Sergey On branching models with alarm triggerings. (English) Zbl 1473.60127 J. Appl. Probab. 57, No. 3, 734-759 (2020). Reviewer: Maroussia Slavtchova-Bojkova (Sofia) MSC: 60J85 60G44 92D30 PDFBibTeX XMLCite \textit{C. Lefèvre} et al., J. Appl. Probab. 57, No. 3, 734--759 (2020; Zbl 1473.60127) Full Text: DOI
Lefèvre, Claude; Simon, Matthieu SIR-type epidemic models as block-structured Markov processes. (English) Zbl 1448.92314 Methodol. Comput. Appl. Probab. 22, No. 2, 433-453 (2020). MSC: 92D30 60J28 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{M. Simon}, Methodol. Comput. Appl. Probab. 22, No. 2, 433--453 (2020; Zbl 1448.92314) Full Text: DOI
Lefèvre, Claude; Picard, Philippe Final outcomes and disease insurance for a controlled epidemic model. (English) Zbl 1419.91376 Appl. Stoch. Models Bus. Ind. 34, No. 6, 803-815 (2018). MSC: 91B30 92D30 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{P. Picard}, Appl. Stoch. Models Bus. Ind. 34, No. 6, 803--815 (2018; Zbl 1419.91376) Full Text: DOI
Lefèvre, Claude; Picard, Philippe A general approach to the integral functionals of epidemic processes. (English) Zbl 1401.60148 J. Appl. Probab. 55, No. 2, 593-609 (2018). MSC: 60J28 92D30 12E10 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{P. Picard}, J. Appl. Probab. 55, No. 2, 593--609 (2018; Zbl 1401.60148) Full Text: DOI
Lefèvre, Claude; Simon, Matthieu Cross-infection in epidemics spread by carriers. (English) Zbl 1391.60187 Stoch. Models 34, No. 2, 166-185 (2018). MSC: 60J28 92D30 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{M. Simon}, Stoch. Models 34, No. 2, 166--185 (2018; Zbl 1391.60187) Full Text: DOI
Lefèvre, Claude; Picard, Philippe On the outcome of epidemics with detections. (English) Zbl 1401.60147 J. Appl. Probab. 54, No. 3, 890-904 (2017). MSC: 60J28 92D30 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{P. Picard}, J. Appl. Probab. 54, No. 3, 890--904 (2017; Zbl 1401.60147) Full Text: DOI
Lefèvre, Claude; Picard, Philippe; Simon, Matthieu Epidemic risk and insurance coverage. (English) Zbl 1400.60098 J. Appl. Probab. 54, No. 1, 286-303 (2017). MSC: 60J28 91B30 92D30 PDFBibTeX XMLCite \textit{C. Lefèvre} et al., J. Appl. Probab. 54, No. 1, 286--303 (2017; Zbl 1400.60098) Full Text: DOI
Lefèvre, Claude; Picard, Philippe Polynomials, random walks and risk processes: a multivariate framework. (English) Zbl 1370.60087 Stochastics 88, No. 8, 1147-1172 (2016). MSC: 60G50 33C65 60J28 91B30 92D30 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{P. Picard}, Stochastics 88, No. 8, 1147--1172 (2016; Zbl 1370.60087) Full Text: DOI
Lefèvre, Claude; Simon, Matthieu SIR epidemics with stages of infection. (English) Zbl 1352.92159 Adv. Appl. Probab. 48, No. 3, 768-791 (2016). MSC: 92D30 60J20 60K15 60G55 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{M. Simon}, Adv. Appl. Probab. 48, No. 3, 768--791 (2016; Zbl 1352.92159) Full Text: DOI Euclid
Lefèvre, Claude; Picard, Philippe Risk models in insurance and epidemics: a bridge through randomized polynomials. (English) Zbl 1414.91212 Probab. Eng. Inf. Sci. 29, No. 3, 399-420 (2015). MSC: 91B30 92D30 33C65 33C45 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{P. Picard}, Probab. Eng. Inf. Sci. 29, No. 3, 399--420 (2015; Zbl 1414.91212) Full Text: DOI
Becker, Niels; Lefèvre, Claude; Utev, Sergey Estimating protective vaccine efficacy from large trials with recruitment. (English) Zbl 1104.62116 J. Stat. Plann. Inference 137, No. 3, 907-914 (2007). MSC: 62P10 92C60 62F12 PDFBibTeX XMLCite \textit{N. Becker} et al., J. Stat. Plann. Inference 137, No. 3, 907--914 (2007; Zbl 1104.62116) Full Text: DOI
Lefèvre, Claude; Picard, Philippe Nonstationarity and randomization in the Reed-Frost epidemic model. (English) Zbl 1099.92065 J. Appl. Probab. 42, No. 4, 950-963 (2005). Reviewer: Annette Kopp-Schneider (Heidelberg) MSC: 92D30 60J85 60K99 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{P. Picard}, J. Appl. Probab. 42, No. 4, 950--963 (2005; Zbl 1099.92065) Full Text: DOI
Lefèvre, Claude; Utev, Sergey Branching approximation for the collective epidemic model. (English) Zbl 0966.92023 Methodol. Comput. Appl. Probab. 1, No. 2, 211-228 (1999). MSC: 92D30 60J85 60F05 60J80 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{S. Utev}, Methodol. Comput. Appl. Probab. 1, No. 2, 211--228 (1999; Zbl 0966.92023) Full Text: DOI
Lefèvre, Claude; Picard, Philippe Abel-Gontcharoff pseudopolynomials and the exact final outcome of SIR epidemic models. III. (English) Zbl 0974.92028 Adv. Appl. Probab. 31, No. 2, 532-550 (1999). MSC: 92D30 60G35 33C99 60G42 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{P. Picard}, Adv. Appl. Probab. 31, No. 2, 532--550 (1999; Zbl 0974.92028) Full Text: DOI
Lefèvre, Claude; Utev, Sergei Mixed Poisson approximation in the collective epidemic model. (English) Zbl 0912.60042 Stochastic Processes Appl. 69, No. 2, 217-246 (1997). MSC: 60F05 92D30 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{S. Utev}, Stochastic Processes Appl. 69, No. 2, 217--246 (1997; Zbl 0912.60042) Full Text: DOI
Lefèvre, Claude; Picard, Philippe Abelian-type expansions and nonlinear death processes. II. (English) Zbl 0857.60086 Adv. Appl. Probab. 28, No. 3, 877-894 (1996). MSC: 60J75 92D25 33E99 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{P. Picard}, Adv. Appl. Probab. 28, No. 3, 877--894 (1996; Zbl 0857.60086) Full Text: DOI
Lefèvre, Claude; Utev, Sergey Comparing sums of exchangeable Bernoulli random variables. (English) Zbl 0855.60017 J. Appl. Probab. 33, No. 2, 285-310 (1996). MSC: 60E15 60C05 60J80 92B15 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{S. Utev}, J. Appl. Probab. 33, No. 2, 285--310 (1996; Zbl 0855.60017) Full Text: DOI
Lefèvre, Claude; Picard, Philippe Collective epidemic models. (English) Zbl 0844.92023 Math. Biosci. 134, No. 1, 51-70 (1996). MSC: 92D30 60J20 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{P. Picard}, Math. Biosci. 134, No. 1, 51--70 (1996; Zbl 0844.92023) Full Text: DOI
Lefèvre, C.; Utev, S. A. Asymptotic behavior of the final number of susceptible individuals in generalized epidemic processes. (English. Russian original) Zbl 0897.92032 Sib. Math. J. 37, No. 4, 753-763 (1996); translation from Sib. Mat. Zh. 37, No. 4, 858-868 (1996). MSC: 92D30 60F05 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{S. A. Utev}, Sib. Math. J. 37, No. 4, 753--763 (1996; Zbl 0897.92032); translation from Sib. Mat. Zh. 37, No. 4, 858--868 (1996) Full Text: DOI
Lefèvre, Claude; Picard, Philippe Collective epidemic processes: A general modelling approach to the final outcome of SIR infectious diseases. (English) Zbl 0839.92022 Mollison, Denis (ed.), Epidemic models: their structure and relation to data. Cambridge: Cambridge University Press. Publ. Newton Inst. 5, 53-70 (1995). MSC: 92D30 60J20 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{P. Picard}, Publ. Newton Inst. 5, 53--70 (1995; Zbl 0839.92022)
Lefèvre, Claude; Utev, Sergey Poisson approximation for the final state of a generalized epidemic process. (English) Zbl 0833.60023 Ann. Probab. 23, No. 3, 1139-1162 (1995). MSC: 60F05 92D30 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{S. Utev}, Ann. Probab. 23, No. 3, 1139--1162 (1995; Zbl 0833.60023) Full Text: DOI
Kissami, Abdelghani; Lefèvre, Claude; Picard, Philippe On collective epidemic models and (partially) exchangeable events. (English) Zbl 0836.92024 Cah. Cent. Étud. Rech. Opér. 36, 235-250 (1994). MSC: 92D30 60G09 PDFBibTeX XMLCite \textit{A. Kissami} et al., Cah. Cent. Étud. Rech. Opér. 36, 235--250 (1994; Zbl 0836.92024)
Gabriel, Jean-Pierre (ed.); Lefèvre, Claude (ed.); Picard, Philippe (ed.); Jacquez, John A. (ed.) Stochastic modeling for infectious diseases. Proceedings of a conference held at Marseilles-Luminy, France, November 4-8, 1991. (English) Zbl 0900.92005 Amsterdam: North-Holland, (1993). MSC: 92-06 92D30 00B25 PDFBibTeX XML
Lefèvre, Claude; Picard, Philippe An epidemic model with fatal risk. (English) Zbl 0798.92027 Math. Biosci. 117, No. 1-2, 127-145 (1993). Reviewer: J.M.Cushing (Tucson) MSC: 92D30 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{P. Picard}, Math. Biosci. 117, No. 1--2, 127--145 (1993; Zbl 0798.92027) Full Text: DOI
Lefevre, Claude; Picard, Philippe An unusual stochastic order relation with some applications in sampling and epidemic theory. (English) Zbl 0768.60011 Adv. Appl. Probab. 25, No. 1, 63-81 (1993). MSC: 60C05 60E15 60K99 92D25 PDFBibTeX XMLCite \textit{C. Lefevre} and \textit{P. Picard}, Adv. Appl. Probab. 25, No. 1, 63--81 (1993; Zbl 0768.60011) Full Text: DOI
Kryscio, Richard J.; Lefevre, Claude Measuring the severity of disease clustering using Tango’s index. (English) Zbl 0729.92533 Math. Biosci. 107, No. 2, 235-247 (1991). MSC: 92D30 PDFBibTeX XMLCite \textit{R. J. Kryscio} and \textit{C. Lefevre}, Math. Biosci. 107, No. 2, 235--247 (1991; Zbl 0729.92533) Full Text: DOI
Picard, Philippe; Lefèvre, Claude Another look at Gani’s carrier-borne epidemic model with two stages of infection. (English) Zbl 0728.92022 Commun. Stat., Stochastic Models 7, No. 1, 107-123 (1991). Reviewer: A.Kopp-Schneider (Heidelberg) MSC: 92D30 60J85 PDFBibTeX XMLCite \textit{P. Picard} and \textit{C. Lefèvre}, Commun. Stat., Stochastic Models 7, No. 1, 107--123 (1991; Zbl 0728.92022) Full Text: DOI
Picard, Philippe; Lefèvre, Claude The dimension of Reed-Frost epidemic models with randomized susceptibility levels. (English) Zbl 0742.92020 Math. Biosci. 107, No. 2, 225-233 (1991). MSC: 92D30 PDFBibTeX XMLCite \textit{P. Picard} and \textit{C. Lefèvre}, Math. Biosci. 107, No. 2, 225--233 (1991; Zbl 0742.92020) Full Text: DOI
Gabriel, Jean-Pierre (ed.); Lefèvre, Claude (ed.); Picard, Philippe (ed.) Stochastic processes in epidemic theory. Proceedings of a conference held in Luminy, France, October 23-29, 1988. (English) Zbl 0695.00030 Lecture Notes in Biomathematics, 86. New York etc.: Springer-Verlag. vi, 197 p. DM 36.00 (1990). MSC: 00B25 92-06 60-06 PDFBibTeX XML
Picard, Philippe; Lefèvre, Claude A unified analysis of the final size and severity distribution in collective Reed-Frost epidemic processes. (English) Zbl 0719.92021 Adv. Appl. Probab. 22, No. 2, 269-294 (1990). Reviewer: G.Jetschke (Jena) MSC: 92D30 60J85 PDFBibTeX XMLCite \textit{P. Picard} and \textit{C. Lefèvre}, Adv. Appl. Probab. 22, No. 2, 269--294 (1990; Zbl 0719.92021) Full Text: DOI
Lefèvre, Claude; Picard, Philippe The final size distribution of epidemics spread by infectives behaving independently. (English) Zbl 0719.92020 Stochastic processes in epidemic theory, Proc. Conf., Luminy/Fr. 1988, Lect. Notes Biomath. 86, 155-169 (1990). Reviewer: G.Jetschke (Jena) MSC: 92D30 60J85 PDFBibTeX XML
Lefevre, Claude; Picard, Philippe A non-standard family of polynomials and the final size distribution of Reed-Frost epidemic processes. (English) Zbl 0709.92020 Adv. Appl. Probab. 22, No. 1, 25-48 (1990). Reviewer: J.M.Cushing MSC: 92D30 PDFBibTeX XMLCite \textit{C. Lefevre} and \textit{P. Picard}, Adv. Appl. Probab. 22, No. 1, 25--48 (1990; Zbl 0709.92020) Full Text: DOI
Kryscio, Richard J.; Lefèvre, Claude On the extinction of the S-I-S stochastic logistic epidemic. (English) Zbl 0687.92012 J. Appl. Probab. 26, No. 4, 685-694 (1989). MSC: 92D25 60J85 PDFBibTeX XMLCite \textit{R. J. Kryscio} and \textit{C. Lefèvre}, J. Appl. Probab. 26, No. 4, 685--694 (1989; Zbl 0687.92012) Full Text: DOI
Lefevre, Claude; Picard, Philippe On the formulation of discrete-time epidemic models. (English) Zbl 0669.92014 Math. Biosci. 95, No. 1, 27-35 (1989). MSC: 92D25 PDFBibTeX XMLCite \textit{C. Lefevre} and \textit{P. Picard}, Math. Biosci. 95, No. 1, 27--35 (1989; Zbl 0669.92014) Full Text: DOI
Lefevre, C. A Markov chain model of population growth with an application in epidemiology. (English) Zbl 0695.92007 Biom. J. 30, No. 2, 165-173 (1988). MSC: 92D25 60J20 60J10 PDFBibTeX XMLCite \textit{C. Lefevre}, Biom. J. 30, No. 2, 165--173 (1988; Zbl 0695.92007) Full Text: DOI
Lefevre, Claude; Malice, Marie-Pierre Comparisons for carrier-borne epidemics in heterogeneous and homogeneous populations. (English) Zbl 0672.92015 J. Appl. Probab. 25, No. 4, 663-674 (1988). MSC: 92D25 60E99 PDFBibTeX XMLCite \textit{C. Lefevre} and \textit{M.-P. Malice}, J. Appl. Probab. 25, No. 4, 663--674 (1988; Zbl 0672.92015) Full Text: DOI
de Palma, A.; Lefevre, C. Population systems with (non)-extensive interaction rates. (English) Zbl 0647.92020 Math. Comput. Modelling 10, No. 5, 359-365 (1988). MSC: 92D25 92D40 34C99 PDFBibTeX XMLCite \textit{A. de Palma} and \textit{C. Lefevre}, Math. Comput. Modelling 10, No. 5, 359--365 (1988; Zbl 0647.92020) Full Text: DOI
Lefèvre, Claude Threshold behaviour for a chain-binomial S-I-S infectious disease. (English) Zbl 0611.92019 J. Math. Biol. 24, 59-70 (1986). Reviewer: W.Timischl MSC: 92D25 39A10 39A11 PDFBibTeX XMLCite \textit{C. Lefèvre}, J. Math. Biol. 24, 59--70 (1986; Zbl 0611.92019) Full Text: DOI
Lefèvre, Claude; Malice, Marie-Pierre A discrete time model for a S-I-S infectious disease with a random number of contacts between individuals. (English) Zbl 0601.92028 Math. Modelling 7, 785-792 (1986). MSC: 92D25 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{M.-P. Malice}, Math. Modelling 7, 785--792 (1986; Zbl 0601.92028) Full Text: DOI
Lefevre, Claude Endémicité dans le modèle d’épidémie logistique a temps discret. (French) Zbl 0569.92021 Belg. J. Oper. Res. Stat. Comput. Sci. 25, No. 2-3, 39-46 (1985). MSC: 92D25 PDFBibTeX XMLCite \textit{C. Lefevre}, Belg. J. Oper. Res. Stat. Comput. Sci. 25, No. 2--3, 39--46 (1985; Zbl 0569.92021)
Malice, M.-P.; Lefevre, C. On the general epidemic model in discrete time. (English) Zbl 0565.92021 Mathematics in biology and medicine, Proc. Int. Conf., Bari/Italy 1983, Lect. Notes Biomath. 57, 164-170 (1985). MSC: 92D25 PDFBibTeX XML
de Palma, André; Lefèvre, Claude Bifurcation and behavior of complex systems. (English) Zbl 0538.93031 Appl. Math. Comput. 14, 77-95 (1984). MSC: 93C10 37G99 92D25 91D99 90Bxx 60K30 90C40 PDFBibTeX XMLCite \textit{A. de Palma} and \textit{C. Lefèvre}, Appl. Math. Comput. 14, 77--95 (1984; Zbl 0538.93031) Full Text: DOI
Lefevre, Claude On a simple epidemic model with a heterogeneous infective population. (English) Zbl 0506.92022 Bull. Math. Biol. 45, 11-20 (1983). MSC: 92D25 PDFBibTeX XMLCite \textit{C. Lefevre}, Bull. Math. Biol. 45, 11--20 (1983; Zbl 0506.92022) Full Text: DOI
Lefevre, Claude Un modèle d’epidemie en chaîne-binomiale. (French) Zbl 0497.92018 Cah. Cent. Étud. Rech. Opér. 24, 313-320 (1982). MSC: 92D25 PDFBibTeX XMLCite \textit{C. Lefevre}, Cah. Cent. Étud. Rech. Opér. 24, 313--320 (1982; Zbl 0497.92018)
Lefevre, Cl. Optimal immunization and isolation policies for the Greenwood chain- binomial epidemic model. (English) Zbl 0487.92019 Biom. J. 23, 55-72 (1981). MSC: 92D25 90C39 90C90 49L20 PDFBibTeX XMLCite \textit{Cl. Lefevre}, Biom. J. 23, 55--72 (1981; Zbl 0487.92019) Full Text: DOI
Lefevre, Claude Optimal control of a birth and death epidemic process. (English) Zbl 0478.92014 Oper. Res. 29, 971-982 (1981). MSC: 92D25 93E20 60J85 PDFBibTeX XMLCite \textit{C. Lefevre}, Oper. Res. 29, 971--982 (1981; Zbl 0478.92014) Full Text: DOI
Saunders, Roy; Lefevre, Claude; Kryscio, Richard J. A note on the expected number of survivors in supercritical Carrier-Borne epidemics. (English) Zbl 0417.60083 J. Appl. Probab. 16, 646-650 (1979). MSC: 60J85 92D25 PDFBibTeX XMLCite \textit{R. Saunders} et al., J. Appl. Probab. 16, 646--650 (1979; Zbl 0417.60083) Full Text: DOI
Lefevre, Claude The area under the trajectory of carriers in a carrier-borne epidemic. (English) Zbl 0409.92013 J. Appl. Probab. 16, 231-241 (1979). MSC: 92D25 62P10 PDFBibTeX XMLCite \textit{C. Lefevre}, J. Appl. Probab. 16, 231--241 (1979; Zbl 0409.92013) Full Text: DOI
Lefevre, Cl. Generalization of a control model for approximate chain-binomial epidemics. (English) Zbl 0404.92016 Math. Biosci. 45, 21-35 (1979). MSC: 92D25 93C30 49L20 PDFBibTeX XMLCite \textit{Cl. Lefevre}, Math. Biosci. 45, 21--35 (1979; Zbl 0404.92016) Full Text: DOI
Lefevre, Cl. Optimal control of the simple stochastic epidemic with variable recovery rates. (English) Zbl 0399.92021 Math. Biosci. 44, 209-219 (1979). MSC: 92D25 PDFBibTeX XMLCite \textit{Cl. Lefevre}, Math. Biosci. 44, 209--219 (1979; Zbl 0399.92021) Full Text: DOI
Lefevre, Claude The expected ultimate size of a carrier-borne epidemic. (English) Zbl 0389.92020 J. Appl. Probab. 15, 414-419 (1978). MSC: 92D25 60J20 60K99 PDFBibTeX XMLCite \textit{C. Lefevre}, J. Appl. Probab. 15, 414--419 (1978; Zbl 0389.92020) Full Text: DOI
Walter, Eric; Lefevre, Claude; Bertrand, Pierre; Le Cardinal, Gilles Sur la décomposition de modeles de compartiments. (French) Zbl 0365.92015 C. R. Acad. Sci., Paris, Sér. A 280, 677-680 (1975). MSC: 92B05 62P10 PDFBibTeX XMLCite \textit{E. Walter} et al., C. R. Acad. Sci., Paris, Sér. A 280, 677--680 (1975; Zbl 0365.92015)