{"id":79,"date":"2013-10-23T19:23:24","date_gmt":"2013-10-23T19:23:24","guid":{"rendered":"http:\/\/localhost:8888\/?page_id=79"},"modified":"2024-09-13T17:30:17","modified_gmt":"2024-09-13T15:30:17","slug":"papers","status":"publish","type":"page","link":"http:\/\/users.dimi.uniud.it\/~dimitri.breda\/publications\/papers\/","title":{"rendered":"papers"},"content":{"rendered":"\n<ol>\n<li> <p style=\"text-align: justify;\">Pecile A., Demo N., Tezzele M., Rozza G. and Breda D.: <span style=\"font-style: italic;\">Data-driven Discovery of Delay Differential Equations with Discrete Delays<\/span>, submitted.<\/p> <\/li>\n<li> <p style=\"text-align: justify;\">Breda D. and Liessi D.: <span style=\"font-style: italic;\">Lyapunov exponents of renewal equations: numerical approximation and convergence analysis<\/span>, submitted.<\/p> <\/li>\n<li> <p style=\"text-align: justify;\">Breda D., Della Rossa, M and Freddi, L.: <span style=\"font-style: italic;\">viability and control of a delayed SIR epidemic with an ICU state constraint<\/span>, submitted.<\/p> <\/li>\n<li> <p style=\"text-align: justify;\">Breda D., Liessi D.: <span style=\"font-style: italic;\">A practical approach to computing Lyapunov exponents of renewal and delay equations<\/span>, Math. Biosci. Eng. 21(1):1249-1269, <a rel=\"noopener noreferrer\" href=\"https:\/\/doi.org\/10.3934\/mbe.2024053\">doi: 10.3934\/mbe.2024053<\/a>, 2024.<\/p> <\/li>\n<li> <p style=\"text-align: justify;\">Breda D., De Reggi S. and Vermiglio R.: <span style=\"font-style: italic;\">A numerical method for the stability analysis of linear age-structured models with nonlocal diffusion<\/span>, SIAM J. Sci. Comp. 46(2), <a rel=\"noopener noreferrer\" href=\"https:\/\/doi.org\/10.1137\/23M1568971\">doi:10.1137\/23M1568971<\/a>, 2024.<\/p> <\/li>\n<li> <p style=\"text-align: justify;\">Breda D., Liessi D. and Verduyn Lunel S.: <span style=\"font-style: italic;\">Spectra of evolution operators of a class of neutral renewal equations: theoretical and numerical aspects\n<\/span>, Appl. Numer. Math., <a rel=\"noopener noreferrer\" href=\"https:\/\/doi.org\/10.1016\/j.apnum.2023.06.018\">doi: 10.1016\/j.apnum.2023.06.018<\/a>, 2023.<\/p> <\/li>\n<li> <p style=\"text-align: justify;\">And\u00f2 A. and Breda D.: <span style=\"font-style: italic;\">Piecewise orthogonal collocation for computing periodic solutions of coupled delay equations<\/span>, Appl. Numer. Math., <a rel=\"noopener noreferrer\" href=\"https:\/\/doi.org\/10.1016\/j.apnum.2023.05.010\">doi: 10.1016\/j.apnum.2023.05.010<\/a>, 2023.<\/p> <\/li>\n<li> <p style=\"text-align: justify;\">And\u00f2 A. and Breda D.: <span style=\"font-style: italic;\">Piecewise orthogonal collocation for computing periodic solutions of renewal equations<\/span>, Adv. Comput. Math., 49, 93, <a rel=\"noopener noreferrer\" href=\"https:\/\/doi.org\/10.1007\/s10444-023-10094-4\">doi: 10.1007\/s10444-023-10094-4<\/a>, 2023.<\/p> <\/li>\n<li> <p style=\"text-align: justify;\">Blanchini F., Breda D., Giordano G. and Liessi D.: <span style=\"font-style: italic;\">Michaelis\u2013Menten networks are structurally stable<\/span>, Automatica, 147:110683, <a rel=\"noopener noreferrer\" href=\"https:\/\/doi.org\/10.1016\/j.automatica.2022.110683\">doi: 10.1016\/j.automatica.2022.110683<\/a>, 2023.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D., Frizzera D., Giordano G., Seffin E., Zanni V., Annoscia D., Topping C. J., Blanchini F. and Nazzi F.: <span style=\"font-style: italic;\">A deeper understanding of system interactions is needed to explain contradictory field results on pesticide impact on bees<\/span>, Nat. Commun., 13(5720), <a rel=\"noopener noreferrer\" href=\"https:\/\/doi.org\/10.1038\/s41467-022-33405-7\">doi: 10.1038\/s41467-022-33405-7<\/a>, 2022.<\/p> <\/li>\n<li> <p style=\"text-align: justify;\">Breda D., Liessi D. and Vermiglio R.: <span style=\"font-style: italic;\">Piecewise discretization of monodromy operators of delay equations on adaptive meshes<\/span>, J. Comput. Dyn., 9:103\u2013121, <a rel=\"noopener noreferrer\" href=\"https:\/\/doi.org\/10.3934\/jcd.2022004\">doi: 10.3934\/jcd.2022004<\/a>, 2022.<\/p> <\/li>\n<li> <p style=\"text-align: justify;\">Breda D., De Reggi S., Scarabel F., Vermiglio R. and Wu J.: <span style=\"font-style: italic;\">Bivariate collocation for computing R_0 in epidemic models with two structures<\/span>, Comput. Math. with Appl., <a rel=\"noopener noreferrer\" href=\"https:\/\/doi.org\/10.1016\/j.camwa.2021.10.026\">doi: 10.1016\/j.camwa.2021.10.026<\/a>, 2022.<\/p> <\/li><li> <p style=\"text-align: justify;\">Ramirez A., Breda D. and Sipahi R.: <span style=\"font-style: italic;\">A Scalable Approach to Compute Delay margin of a Class of Neutral-type Time Delay Systems<\/span>, Siam J. Control Optim., 59(2):805-824, <a rel=\"noopener noreferrer\" href=\"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/19M1307408\" target=\"_blank\">doi: 10.1137\/19M1307408<\/a>, 2021.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D., Florian F, Ripoll J. and Vermiglio R.: <span style=\"font-style: italic;\">Efficient numerical computation of the basic reproduction number for structured populations<\/span>, J. Comp. Appl. Math, 384, 113165, <a rel=\"noopener noreferrer\" href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0377042720304568?via%3Dihub\" target=\"_blank\">doi: 10.1016\/j.cam.2020.113165<\/a>, 2021.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D., Kuniya T., Ripoll J. and Vermiglio R.: <span style=\"font-style: italic;\">Collocation of next-generation operators for computing the basic reproduction number of structured populations<\/span>, J. Sci. Comput., 85(40), <a rel=\"noopener noreferrer\" href=\"https:\/\/link.springer.com\/article\/10.1007\/s10915-020-01339-1\" target=\"_blank\">doi: 10.1007\/s10915-020-01339-1<\/a>, 2020.<\/p> <\/li><li> <p style=\"text-align: justify;\">And\u00f2 A. and Breda D.: <span style=\"font-style: italic;\">Convergence analysis of collocation methods for computing periodic solutions of retarded functional differential equations<\/span>, SIAM J. Numer. Anal., 58(5):3010-3039 (2020), <a rel=\"noopener noreferrer\" href=\"https:\/\/doi.org\/10.1137\/19M1295015\" target=\"_blank\">doi: 10.1137\/19M1295015<\/a>, full version on <a rel=\"noopener noreferrer\" href=\"http:\/\/arxiv.org\/abs\/2008.07604\" target=\"_blank\">arXiv<\/a>, 2020.<\/p> <\/li><li> <p style=\"text-align: justify;\">And\u00f2 A., Breda D. and Gava G.: <span style=\"font-style: italic;\">How fast is the linear chain trick? A rigorous analysis in the context of behavioral epidemiology<\/span>, Math. Biosci. Eng., 17(5):5059-5084, <a rel=\"noopener noreferrer\" href=\"https:\/\/www.aimspress.com\/article\/10.3934\/mbe.2020273\" target=\"_blank\">doi: 10.3934\/mbe.2020273<\/a>, 2020.<\/p> <\/li><li> <p style=\"text-align: justify;\">Scarabel F, Breda D., Diekmann D, Gyllenberg M and Vermiglio R.: <span style=\"font-style: italic;\">Numerical bifurcation analysis of physiologically structured population models via pseudospectral approximation<\/span>, Vietnam J. Math., <a rel=\"noopener noreferrer\" href=\"https:\/\/link.springer.com\/article\/10.1007\/s10013-020-00421-3\" target=\"_blank\">doi: 10.1007\/s10013-020-00421-3<\/a>, 2020.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D. and Liessi D.: <span style=\"font-style: italic;\">Approximation of eigenvalues of evolution operators for linear coupled renewal and retarded functional differential equations<\/span>, Ric. Mat., <a rel=\"noopener noreferrer\" href=\"https:\/\/doi.org\/10.1007\/s11587-020-00513-9\" target=\"_blank\">doi: 10.1007\/s11587-020-00513-9<\/a>, 2020.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D. and Liessi D.: <span style=\"font-style: italic;\">Floquet theory and stability of periodic solutions of renewal equations<\/span>, J. Dynam. Differential Equations, <a rel=\"noopener noreferrer\" href=\"https:\/\/doi.org\/10.1007\/s10884-020-09826-7\" target=\"_blank\">doi: 10.1007\/s10884-020-09826-7<\/a>, 2020<\/p> <\/li><li> <p style=\"text-align: justify;\">And\u00f2 A., Breda D. and Scarabel F.: <span style=\"font-style: italic;\">Numerical continuation and delay equations: a novel approach for complex models of structured populations<\/span>, Discret. Contin. Dyn. S. &#8211; S, <a rel=\"noopener noreferrer\" href=\"https:\/\/doi.org\/10.3934\/dcdss.2020196\" target=\"_blank\">doi: 10.1007\/s10884-020-09826-7<\/a>, 2020.<\/p> <\/li><li> <p style=\"text-align: justify;\">Sadeghpour M., Breda D. and Orosz G.: <span style=\"font-style: italic;\">Stability of linear continuous-time systems with stochastically changing delay<\/span>, IEEE-TAC, 64(11):4741-4747, 2019.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D., Menegon G. and Nonino M.: <span style=\"font-style: italic;\">Delay equations and characteristic roots: stability and more from a single curve<\/span>, Electron. J. Qual. Theory Differ. Equ., 89:1-22, 2018.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D. and Della Schiava S.: <span style=\"font-style: italic;\">Pseudospectral reduction to compute Lyapunov exponents of delay differential equations<\/span>, Discret. Contin. Dyn. S. &#8211; B., 23(7): 2727-2741, 2018.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D. and Liessi D.: <span style=\"font-style: italic;\">Approximation of eigenvalues of evolution operators for linear renewal equations<\/span>, SIAM J. Numer. Anal., 56(3):1456-1481, 2018.<\/p> <\/li><li> <p style=\"text-align: justify;\">Clamer V., Pugliese A., Liessi D. and Breda D.: <span style=\"font-style: italic;\">Host coexistence in a model for Two Host &#8212; One Parasitoid interactions<\/span>, J. Math. Biol., 2017, 75(2):419\u2013441, 2017.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D., Diekmann O., Liessi D. and Scarabel F.: <span style=\"font-style: italic;\">Numerical bifurcation analysis of a class of nonlinear renewal equations<\/span>, Electron. J. Qual. Theory Differ. Equ., 65:1-24, 2016.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D., Diekmann O., Gyllenberg M., Scarabel F. and Vermiglio R.: <span style=\"font-style: italic;\">Pseudospectral discretization of nonlinear delay equations: new prospects for numerical bifurcation analysis<\/span>, SIAM J. Appl. Dyn. Syst., 15(1):1-23, 2016.<\/p> <\/li><li> <p style=\"text-align: justify;\">Beretta E. and Breda D.: <span style=\"font-style: italic;\">Discrete or distributed delay? Effects on stability of population growth<\/span>, Math. Biosci. Eng., 13(1):19-41, 2016.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D., Getto P., S\u00e1nchez Sanz J. and Vermiglio R.: <span style=\"font-style: italic;\">Computing the eigenvalues of realistic Daphnia models by pseudospectral methods<\/span>, SIAM J. Sci. Comput., 37(6):2607-2629, 2015.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D., Maset S. and Vermiglio R.: <span style=\"font-style: italic;\">Pseudospectral methods for stability analysis of delayed dynamical systems<\/span>, Int. J. Dyn. Control, 2, 143-153, 2014.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D. and Van Vleck E.: <span style=\"font-style: italic;\">Approximating Lyapunov exponents and Sacker-Sell spectrum for retarded functional differential equations<\/span>, Numer. Math., 126:225-257, 2014.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D., Diekmann O., Maset S. and Vermiglio R.: <span style=\"font-style: italic;\">A numerical approach for investigating the stability of equilibria for structured population models<\/span>, J. Biol. Dyn., 7(1):4-20, 2013.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D., Diekmann O., de Graaf W., Pugliese A. and Vermiglio R.: <span style=\"font-style: italic;\">On the formulation of epidemic models (an appraisal of Kermack and McKendrick)<\/span>, J. Biol. Dyn., 6(2):103-117, 2012.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D., Maset S. and Vermiglio R.: <span style=\"font-style: italic;\">Computing eigenvalues of Gurtin-MacCamy models with diffusion<\/span>, IMA J. Numer. Anal., 32(3):1030-1050, 2012.<\/p> <\/li><li> <p style=\"text-align: justify;\">Franceschetti A., Pugliese A. and Breda D.: <span style=\"font-style: italic;\">Multiple endemic states in age-structured SIR epidemic models<\/span>, Math. Biosci. Eng., 9(3):577-599, 2012.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D., Maset S. and Vermiglio R.: <span style=\"font-style: italic;\">Approximation of eigenvalues of evolution operators for linear retarded functional differential equations<\/span>, SIAM J. Numer. Anal., 50(3):1456-1483, 2012.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D., Esseni D., Paussa A., Specogna R., Trevisan F. and Vermiglio R.: <span style=\"font-style: italic;\">Comparison between Pseudospectral and Discrete Geometric Methods for Modelling Quantization Effects in Nanoscale Electron Devices<\/span>, IEEE T. Magn., 48(2):203-206, 2012.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D., Maset S. and Vermiglio R.: <span style=\"font-style: italic;\">Numerical recipes for investigating endemic equilibria of age-structured SIR epidemics<\/span>, Discret. Contin. Dyn. S. &#8211; A, 32(8): 2675-2699, 2012.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D.: <span style=\"font-style: italic;\">On characteristic roots and stability charts of delay differential equations<\/span>, Int. J. Robust Nonlin., 22:892-917, 2012.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D. and Visetti D.: <span style=\"font-style: italic;\">Existence, multiplicity and stability of endemic states for an age-structured S-I epidemic model<\/span>, Math. Biosci., 235 (1):19-31, 2012.<\/p> <\/li><li> <p style=\"text-align: justify;\">Beretta E. and Breda D.: <span style=\"font-style: italic;\">An SEIR epidemic model with constant latency time and infectious period<\/span>, Math. Biosci. Eng., 8(4):931-952, 2011.<\/p> <\/li><li> <p style=\"text-align: justify;\">Paussa A., Conzatti F., Breda D., Vermiglio R., Esseni D. and Palestri P.: <span style=\"font-style: italic;\">Pseudo-spectral methods for the efficient simulation of quantization effects in nanoscale MOS transistors<\/span>, IEEE TED, 57(12):3239-3249, 2010.<\/p> <\/li><li> <p style=\"text-align: justify;\">Sipahi R., Olgac N. and Breda D.: <span style=\"font-style: italic;\">A stability study on first order neutral systems with three rationally independent time delays<\/span>, Int. J. Syst. Sci., 41(12):1445-1455, 2010.<\/p> <\/li><li> <p style=\"text-align: justify;\">Liu S., Beretta E. and Breda D.: <span style=\"font-style: italic;\">Predator-prey model of Beddington-DeAngelis type with maturation and gestation delays<\/span>, Nonlinear Analysis: Real World Applications, 11:4072-4091, 2010.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D., Maset S. and Vermiglio R.: <span style=\"font-style: italic;\">Computation of asymptotic stability for a class of partial differential equations with delay<\/span>, J. Vib. Control, 16(7-8):1005-1022, 2010.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D.: <span style=\"font-style: italic;\">Nonautonomous delay differential equations in Hilbert spaces and Lyapunov exponents<\/span>, Diff. Int. Equations, 23(9-10):935-956, 2010.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D., Maset S. and Vermiglio R.: <span style=\"font-style: italic;\">An adaptive algorithm for efficient computation of level curves of surfaces<\/span>, Numer. Algorithms, 52(4):605-628, 2009.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D., Maset S. and Vermiglio R.: <span style=\"font-style: italic;\">Numerical approximation of characteristic values of partial retarded functional differential equations<\/span>, Numer. Math., 113(2):181-242, 2009.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D., Iannelli M., Maset S. and Vermiglio R.: <span style=\"font-style: italic;\">Stability analysis of the Gurtin-MacCamy model<\/span>, SIAM J. Numer. Anal., 46(2):980-995, 2008.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D., Cusulin C., Iannelli M., Maset S. and Vermiglio R.: <span style=\"font-style: italic;\">Stability analysis of age-structured population equations by pseudospectral differencing methods<\/span>, J. Math. Biol., 54(5):701-720, 2007.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D., Maset S. and Vermiglio R.: <span style=\"font-style: italic;\">Pseudospectral approximation of eigenvalues of derivative operators with non-local boundary condition<\/span>, Appl. Numer. Math., 56(3-4):318-331, 2006.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D.: <span style=\"font-style: italic;\">Solution operator approximation for characteristic roots of delay differential equations<\/span>, Appl. Numer. Math., 56(3-4):305-317, 2006.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D., Maset S. and Vermiglio R.: <span style=\"font-style: italic;\">Pseudospectral differencing methods for characteristic roots of delay differential equations<\/span>, SIAM J. Sci. Comput., 27(2):482-495, 2005.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D., Maset S. and Vermiglio R.: <span style=\"font-style: italic;\">Computing the characteristic roots for delay differential equations<\/span>, IMA J. Numer. Anal., 24(1):1-19, 2004.<\/p> <\/li><li> <p style=\"text-align: justify;\">Breda D., Maset S. and Vermiglio R.: <span style=\"font-style: italic;\">Methods for numerical computation of characteristic roots for delay differential equations: experimental comparison<\/span>, Sci. Math. Jpn., 58(2):377-388, 2003.<\/p> <\/li><\/ol>\n\n\n","protected":false},"excerpt":{"rendered":"<p>Pecile A., Demo N., Tezzele M., Rozza G. and Breda D.: Data-driven Discovery of Delay Differential Equations with Discrete Delays, submitted. Breda D. and Liessi D.: Lyapunov exponents of renewal equations: numerical approximation and convergence analysis, submitted. Breda D., Della Rossa, M and Freddi, L.: viability and control of a delayed SIR epidemic with an [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":15,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"jetpack_post_was_ever_published":false,"footnotes":""},"class_list":["post-79","page","type-page","status-publish","hentry"],"jetpack_shortlink":"https:\/\/wp.me\/P49dE6-1h","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"http:\/\/users.dimi.uniud.it\/~dimitri.breda\/wp-json\/wp\/v2\/pages\/79","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/users.dimi.uniud.it\/~dimitri.breda\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/users.dimi.uniud.it\/~dimitri.breda\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/users.dimi.uniud.it\/~dimitri.breda\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/users.dimi.uniud.it\/~dimitri.breda\/wp-json\/wp\/v2\/comments?post=79"}],"version-history":[{"count":221,"href":"http:\/\/users.dimi.uniud.it\/~dimitri.breda\/wp-json\/wp\/v2\/pages\/79\/revisions"}],"predecessor-version":[{"id":2173,"href":"http:\/\/users.dimi.uniud.it\/~dimitri.breda\/wp-json\/wp\/v2\/pages\/79\/revisions\/2173"}],"up":[{"embeddable":true,"href":"http:\/\/users.dimi.uniud.it\/~dimitri.breda\/wp-json\/wp\/v2\/pages\/15"}],"wp:attachment":[{"href":"http:\/\/users.dimi.uniud.it\/~dimitri.breda\/wp-json\/wp\/v2\/media?parent=79"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}