{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,2]],"date-time":"2026-10-02T08:05:21Z","timestamp":1790928321174,"version":"4.1.0"},"reference-count":38,"publisher":"Springer Science and Business Media LLC","issue":"9","license":[{"start":{"date-parts":[[2016,9,1]],"date-time":"2016-09-01T00:00:00Z","timestamp":1472688000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2016,9,1]],"date-time":"2016-09-01T00:00:00Z","timestamp":1472688000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100000086","name":"Directorate for Mathematical and Physical Sciences","doi-asserted-by":"publisher","award":["1515442"],"award-info":[{"award-number":["1515442"]}],"id":[{"id":"10.13039\/100000086","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000086","name":"Directorate for Mathematical and Physical Sciences","doi-asserted-by":"publisher","award":["1515661"],"award-info":[{"award-number":["1515661"]}],"id":[{"id":"10.13039\/100000086","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Bull Math Biol"],"published-print":{"date-parts":[[2016,9]]},"DOI":"10.1007\/s11538-016-0200-2","type":"journal-article","created":{"date-parts":[[2016,9,20]],"date-time":"2016-09-20T19:48:19Z","timestamp":1474400899000},"page":"1796-1827","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":74,"title":["Structural and Practical Identifiability Issues of Immuno-Epidemiological Vector\u2013Host Models with Application to Rift Valley Fever"],"prefix":"10.1007","volume":"78","author":[{"given":"Necibe","family":"Tuncer","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hayriye","family":"Gulbudak","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Vincent L.","family":"Cannataro","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Maia","family":"Martcheva","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2016,9,20]]},"reference":[{"key":"200_CR1","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1016\/S0895-7177(99)00183-1","volume":"30","author":"A Ackleh","year":"1999","unstructured":"Ackleh A (1999) Parameter identification in size-structured population models with nonlinear individual rates. Math Comput Model 30:81\u201392","journal-title":"Math Comput Model"},{"issue":"2","key":"200_CR2","doi-asserted-by":"publisher","first-page":"289","DOI":"10.3934\/mbe.2005.2.289","volume":"2","author":"A Ackleh","year":"2005","unstructured":"Ackleh A, Banks HT, Deng K, Hu S (2005) Parameter estimation in a coupled system of nonlinear size-structured populations. Math Biosci Eng 2(2):289\u2013315","journal-title":"Math Biosci Eng"},{"key":"200_CR3","doi-asserted-by":"publisher","first-page":"E155","DOI":"10.1086\/430053","volume":"165","author":"S Alizon","year":"2005","unstructured":"Alizon S, Van Baalen M (2005) Emergence of a convex trade-off between transmission and virulence. Am Nat 165:E155\u2013167","journal-title":"Am Nat"},{"key":"200_CR4","doi-asserted-by":"publisher","first-page":"1489","DOI":"10.1111\/j.0014-3820.2003.tb00357.x","volume":"57","author":"JB Andr\u00e9","year":"2003","unstructured":"Andr\u00e9 JB, Ferdy JB, Godelle B (2003) Within-host parasite dynamics, emerging trade-off, and evolution of virulence with immune system. Evolution 57:1489\u20131497","journal-title":"Evolution"},{"key":"200_CR5","doi-asserted-by":"crossref","DOI":"10.1201\/b16760","volume-title":"Modeling and inverse problems in the presence of uncertainty","author":"HT Banks","year":"2014","unstructured":"Banks HT, Hu S, Thompson WC (2014) Modeling and inverse problems in the presence of uncertainty. CRC Press, Boca Raton"},{"issue":"1","key":"200_CR6","doi-asserted-by":"publisher","first-page":"52","DOI":"10.1016\/j.cmpb.2007.07.002","volume":"88","author":"G Bellu","year":"2007","unstructured":"Bellu G, Saccomani MP, Audoly S, D\u2019Angio L (2007) DAISY: a new software tool to test global identifiability of biological and physiological systems. Comput Methods Progr Biomed 88(1):52\u201361","journal-title":"Comput Methods Progr Biomed"},{"issue":"7","key":"200_CR7","doi-asserted-by":"publisher","first-page":"883","DOI":"10.2460\/javma.234.7.883","volume":"234","author":"BH Bird","year":"2009","unstructured":"Bird BH, Ksiazek TG, Nichol ST, Maclachlan J (2009) Rift Valley fever virus. JAVMA 234(7):883\u2013893","journal-title":"JAVMA"},{"issue":"3","key":"200_CR8","doi-asserted-by":"publisher","first-page":"553","DOI":"10.3934\/mbe.2012.9.553","volume":"9","author":"A Capaldi","year":"2012","unstructured":"Capaldi A, Behrend S, Smith J, Berman B, Wright J, Lloyd AL (2012) Parameter estimation and uncertainty quantification for an epidemic model. Math Biosci 9(3):553\u2013576","journal-title":"Math Biosci"},{"key":"200_CR9","unstructured":"CDC (2007) Rift Valley Fever Outbreak, Kenya, November 2006-January 2007. Morb Mortal Wkly Rep 56(4):73\u201376"},{"issue":"11","key":"200_CR10","doi-asserted-by":"publisher","first-page":"e27755","DOI":"10.1371\/journal.pone.0027755","volume":"6","author":"OT Chris","year":"2011","unstructured":"Chris OT, Banga JR, Balsa-Canto E (2011) Structural identifiability of systems biology models: a critical comparison of methods. PloS One 6(11):e27755","journal-title":"PloS One"},{"issue":"6","key":"200_CR11","first-page":"545","volume":"17","author":"A Cintrn-Arias","year":"2009","unstructured":"Cintrn-Arias A, Banks HT, Capaldi A, Lloyd AL (2009) A sensitivity matrix based methodology for inverse problem formulation. J Inverse Ill Posed Prob 17(6):545\u2013564","journal-title":"J Inverse Ill Posed Prob"},{"issue":"1","key":"200_CR12","first-page":"R7","volume":"239","author":"C Cobelli","year":"1980","unstructured":"Cobelli C, DiStefano JJ (1980) Parameter and structural identifiability concepts and ambiguities: a critical review and analysis. Am J Physiol 239(1):R7\u201324","journal-title":"Am J Physiol"},{"key":"200_CR13","doi-asserted-by":"publisher","first-page":"84","DOI":"10.1016\/j.jtbi.2012.12.021","volume":"324","author":"M Eisenberg","year":"2013","unstructured":"Eisenberg M, Robertson S, Tien J (2013) Identifiability and estimation of multiple transmission pathways in cholera and waterborne disease. JTB 324:84\u2013102","journal-title":"JTB"},{"issue":"1","key":"200_CR14","doi-asserted-by":"publisher","first-page":"58","DOI":"10.1186\/1297-9716-44-58","volume":"44","author":"EAJ Fischer","year":"2013","unstructured":"Fischer EAJ, Boender GJ, Nodelijk G, de Koeijer AA, Van Roermund HJ (2013) The transmission potential of Rift Valley fever virus among livestock in the Netherlands: a modelling study. Vet Res 44(1):58","journal-title":"Vet Res"},{"issue":"115","key":"200_CR15","first-page":"1","volume":"2007","author":"H Gaff","year":"2007","unstructured":"Gaff H, Hartley D, Leahy N (2007) A mathematical model of Rift Valley Fever. Electron J Differ Equ (EJDE) 2007(115):1\u201312","journal-title":"Electron J Differ Equ (EJDE)"},{"issue":"2","key":"200_CR16","doi-asserted-by":"publisher","first-page":"1","DOI":"10.4018\/jalr.2011040101","volume":"2","author":"H Gaff","year":"2011","unstructured":"Gaff H, Burgess C, Jackson J, Niu T, Papelis Y, Hartley D (2011) Mathematical model to assess the relative effectiveness of Rift Valley Fever countermeasures. Int J Artif Life Res (IJALR) 2(2):1\u201318","journal-title":"Int J Artif Life Res (IJALR)"},{"issue":"3","key":"200_CR17","doi-asserted-by":"publisher","first-page":"289","DOI":"10.1006\/jtbi.2002.3076","volume":"218","author":"MA Gilchrist","year":"2002","unstructured":"Gilchrist MA, Sasaki A (2002) Modeling host-parasite coevolution: a nested approach based on mechanistic models. J Theor Biol 218(3):289\u2013308","journal-title":"J Theor Biol"},{"key":"200_CR18","doi-asserted-by":"crossref","unstructured":"Gulbudak H, Cannataro V, Tuncer N, Martcheva M (2016) From ecology to evolution of Host and Vector-Borne pathogen in a structured immune-epidemiological model (in revision)","DOI":"10.1007\/s11538-016-0239-0"},{"key":"200_CR19","doi-asserted-by":"publisher","first-page":"15","DOI":"10.1016\/j.jviromet.2008.12.003","volume":"157","author":"P Jansen van Vuren","year":"2009","unstructured":"Jansen van Vuren P, Paweska JT (2009) Laboratory safe detection of nucleocapsid protein of Rift Valley fever virus in human and animal specimens by a sandwich ELISA. J Virol Methods 157:15\u201324","journal-title":"J Virol Methods"},{"key":"200_CR20","doi-asserted-by":"publisher","first-page":"16171625","DOI":"10.1198\/jasa.2010.tm09757","volume":"105","author":"SR Lele","year":"2010","unstructured":"Lele SR, Nadeem K, Schmuland B (2010) Estimability and likelihood inference for generalized linear mixed models using data cloning. J Am Stat Assoc 105:16171625. doi:\n                    10.1198\/jasa.2010.tm09757","journal-title":"J Am Stat Assoc"},{"key":"200_CR21","doi-asserted-by":"publisher","first-page":"265","DOI":"10.1016\/0005-1098(94)90029-9","volume":"30","author":"L Ljung","year":"1994","unstructured":"Ljung L, Glad T (1994) On the global identifiability of arbitrary model parametrizations. Automotica 30:265\u2013276","journal-title":"Automotica"},{"key":"200_CR22","first-page":"1","volume":"62","author":"C Manore","year":"2013","unstructured":"Manore C, Beechler BR (2013) Inter-epidemic and between-season persistence of Rift Valley Fever: vertical transmission or cryptic cycling? Transbound Emerg Dis 62:1\u201311","journal-title":"Transbound Emerg Dis"},{"key":"200_CR23","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4899-7612-3","volume-title":"An introduction to mathematical epidemiology","author":"M Martcheva","year":"2015","unstructured":"Martcheva M (2015) An introduction to mathematical epidemiology. Springer, New York"},{"key":"200_CR24","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1126\/science.1165326","volume":"323","author":"CJ McMeniman","year":"2009","unstructured":"McMeniman CJ, Lane RV, Cass BN, Fong AW, Sidhu M, Wang YF, O\u2019Neill SL (2009) Stable introduction of a life-shortening Wolbachia infection into the mosquito Aedes aegypti. Science 323:141\u2013144. doi:\n                    10.1126\/science.1165326","journal-title":"Science"},{"key":"200_CR25","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1016\/j.mbs.2009.08.010","volume":"222","author":"N Meshkat","year":"2009","unstructured":"Meshkat N, Eisenberg M, DiStefano J III (2009) An algorithm for finding globally identifiable parameter combinations of nonlinear ODE models using Grbner Bases. Math Biosci 222:61\u201372","journal-title":"Math Biosci"},{"issue":"1","key":"200_CR26","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1137\/090757009","volume":"53","author":"H Miao","year":"2011","unstructured":"Miao H, Xia X, Perelson AS, Wu H (2011) On identifiability of nonlinear ODE models and applications in viral dynamics. SIAM Rev 53(1):3\u201339","journal-title":"SIAM Rev"},{"key":"200_CR27","first-page":"446470","volume":"470","author":"M Mohtashemi","year":"2001","unstructured":"Mohtashemi M, Levins R (2001) Transient dynamics and early diagnostics in infectious disease. J Math Biol 470:446470","journal-title":"J Math Biol"},{"issue":"3\u20134","key":"200_CR28","doi-asserted-by":"publisher","first-page":"231","DOI":"10.1007\/s10441-011-9132-2","volume":"59","author":"SC Mpeshe","year":"2011","unstructured":"Mpeshe SC, Haario H, Tchuenche JM (2011) A mathematical model of Rift Valley fever with human host. Acta Biotheor 59(3\u20134):231\u2013250","journal-title":"Acta Biotheor"},{"key":"200_CR29","doi-asserted-by":"publisher","unstructured":"Munyua P, Murithi RM, Wainwright S, Githinji J, Hightower A, Mutonga D, Macharia J, Ithondeka PM, Musaa J, Breiman RF, Bloland P, Njenga MK (2010) Rift Valley fever outbreak in livestock in Kenya 2006\u20132007. Am J Trop Med Hyg. doi:\n                    10.4269\/ajtmh.2010.09-0292","DOI":"10.4269\/ajtmh.2010.09-0292"},{"key":"200_CR30","doi-asserted-by":"publisher","unstructured":"Niu T, Gaff HD, Papelis YE, Hartley DM (2012) An epidemiological model of Rift Valley fever with spatial dynamics. Comput Math Methods Med 2012:138757. doi:\n                    10.1155\/2012\/138757","DOI":"10.1155\/2012\/138757"},{"issue":"1","key":"200_CR31","doi-asserted-by":"publisher","first-page":"154","DOI":"10.1016\/j.jmaa.2010.08.072","volume":"374","author":"A Perasso","year":"2011","unstructured":"Perasso A, Laroche B, Chitour Y, Touzeau S (2011) Identifiability analysis of an epidemiological model in a structured population. J Math Anal Appl 374(1):154\u2013165","journal-title":"J Math Anal Appl"},{"key":"200_CR32","doi-asserted-by":"crossref","unstructured":"Perasso A, Razafison U (2016) Identifiability problem for recovering the mortality rate in an age-structured population dynamics model. Inverse Probl Sci En 20(4):711\u2013728","DOI":"10.1080\/17415977.2015.1061522"},{"issue":"7","key":"200_CR33","doi-asserted-by":"crossref","first-page":"347","DOI":"10.2166\/wst.2001.0444","volume":"43","author":"B Petersen","year":"2001","unstructured":"Petersen B, Gernaey K, Vanrolleghem PA (2001) Practical identifiability of model parameters by combined respirometric\u2013titrimetric measurements. Water Sci Technol 43(7):347\u2013355","journal-title":"Water Sci Technol"},{"key":"200_CR34","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1016\/0025-5564(78)90063-9","volume":"41","author":"H Pohjanpalo","year":"1978","unstructured":"Pohjanpalo H (1978) System identifiability based on power-series expansion of solution. Math Biosci 41:21\u201333","journal-title":"Math Biosci"},{"issue":"12","key":"200_CR35","doi-asserted-by":"publisher","first-page":"e81","DOI":"10.1038\/emi.2013.81","volume":"2","author":"AI Rolin","year":"2013","unstructured":"Rolin AI, Berrang-Ford L, Kulkarni MA (2013) The risk of Rift Valley fever virus introduction and establishment in the United States and European Union. Emerg Microbes Infect 2(12):e81","journal-title":"Emerg Microbes Infect"},{"key":"200_CR36","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511802256","volume-title":"Asymptotic statistics","author":"AW van der Vaart","year":"1998","unstructured":"van der Vaart AW (1998) Asymptotic statistics. Cambridge University Press, Cambridge"},{"key":"200_CR37","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1016\/0165-2427(92)90140-L","volume":"30","author":"D Watson","year":"1992","unstructured":"Watson D (1992) Biological half-life of ovine antibody in neonatal lambs and adult sheep following passive immunization. Vet Immunol Immunopathol 30:221\u2013232","journal-title":"Vet Immunol Immunopathol"},{"issue":"1","key":"200_CR38","doi-asserted-by":"publisher","first-page":"e3388","DOI":"10.1371\/journal.pntd.0003388","volume":"9","author":"Y Xiao","year":"2015","unstructured":"Xiao Y, Beier JC, Cantrell RS, Cosner C, DeAngelis DL, Ruan S (2015) Modelling the effects of seasonality and socioeconomic impact on the transmission of Rift Valley Fever Virus. PLoS Negl Trop Dis 9(1):e3388","journal-title":"PLoS Negl Trop Dis"}],"container-title":["Bulletin of Mathematical Biology"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11538-016-0200-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11538-016-0200-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11538-016-0200-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,17]],"date-time":"2020-05-17T16:39:05Z","timestamp":1589733545000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11538-016-0200-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,9]]},"references-count":38,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2016,9]]}},"alternative-id":["200"],"URL":"https:\/\/doi.org\/10.1007\/s11538-016-0200-2","relation":{},"ISSN":["0092-8240","1522-9602"],"issn-type":[{"value":"0092-8240","type":"print"},{"value":"1522-9602","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,9]]},"assertion":[{"value":"20 September 2015","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 August 2016","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 September 2016","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}