{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,11]],"date-time":"2026-05-11T22:23:20Z","timestamp":1778538200183,"version":"3.51.4"},"reference-count":33,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2016,12,29]],"date-time":"2016-12-29T00:00:00Z","timestamp":1482969600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2016,12,29]],"date-time":"2016-12-29T00:00:00Z","timestamp":1482969600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["CCF-1522054"],"award-info":[{"award-number":["CCF-1522054"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"name":"National Science and Engineering Research Council of Canada"},{"name":"National Science and Engineering Research Council of Canada"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Bull Math Biol"],"published-print":{"date-parts":[[2017,2]]},"DOI":"10.1007\/s11538-016-0238-1","type":"journal-article","created":{"date-parts":[[2016,12,29]],"date-time":"2016-12-29T19:25:14Z","timestamp":1483039514000},"page":"303-324","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":44,"title":["A Mathematical Model of Anthrax Transmission in Animal Populations"],"prefix":"10.1007","volume":"79","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2217-3071","authenticated-orcid":false,"given":"C. M.","family":"Saad-Roy","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"P.","family":"van den Driessche","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Abdul-Aziz","family":"Yakubu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,12,29]]},"reference":[{"key":"238_CR1","doi-asserted-by":"publisher","first-page":"481","DOI":"10.1016\/j.mam.2009.08.004","volume":"30","author":"W Beyer","year":"2009","unstructured":"Beyer W, Turnbull PCB (2009) Anthrax in animals. Mol Aspects Med 30:481\u2013489","journal-title":"Mol Aspects Med"},{"key":"238_CR2","doi-asserted-by":"publisher","first-page":"703","DOI":"10.4269\/ajtmh.2012.11-0234","volume":"86","author":"A Chakraborty","year":"2012","unstructured":"Chakraborty A, Khan SU, Hasnat MA, Parveen S, Islam MS, Mikolon A, Chakraborty RK, Ahmed BN, Ara K, Haider N, Zaki SR, Hofmaster AR, Rahman M, Luby SP, Hossain MJ (2012) Anthrax outbreaks in Bangladesh, 2009\u20132010. Am J Trop Med 86:703\u2013710","journal-title":"Am J Trop Med"},{"key":"238_CR3","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1136\/vr.160.4.113","volume":"160","author":"SB Clegg","year":"2007","unstructured":"Clegg SB, Turnbull PCB, Foggin CM, Lindeque PM (2007) Massive outbreak of anthrax in wildlife in the Malilangwe Wildlife Reserve, Zimbabwe. Vet Rec 160:113\u2013118","journal-title":"Vet Rec"},{"key":"238_CR4","first-page":"26","volume":"87","author":"V De Vos","year":"1996","unstructured":"De Vos V, Bryden HB (1996) Anthrax in the Kruger National Park: temporal and spatial patterns of disease occurrence. Salisb Med Bull 87:26\u201330","journal-title":"Salisb Med Bull"},{"key":"238_CR5","volume-title":"Mathematical epidemiology of infectious diseases","author":"O Diekmann","year":"2000","unstructured":"Diekmann O, Heesterbeek JAP (2000) Mathematical epidemiology of infectious diseases. Wiley, West Sussex"},{"key":"238_CR6","doi-asserted-by":"publisher","first-page":"208","DOI":"10.1046\/j.1365-2672.1999.00872.x","volume":"87","author":"DC Dragon","year":"1999","unstructured":"Dragon DC, Elkin BT, Nishi JS, Ellsworth TR (1999) A review of anthrax in Canada and implications for research on the disease in northern bison. J Appl Microbiol 87:208\u2013213","journal-title":"J Appl Microbiol"},{"key":"238_CR7","first-page":"32","volume":"54","author":"DC Dragon","year":"2001","unstructured":"Dragon DC, Elkin BT (2001) An overview of early anthrax outbreaks in Northern Canada: field reports of the health animals branch, Agriculture, Canada, 1962\u20131971. Artic 54:32\u201340","journal-title":"Artic"},{"key":"238_CR8","first-page":"295","volume":"36","author":"DC Dragon","year":"1995","unstructured":"Dragon DC, Rennie RP (1995) The ecology of anthrax spores: tough but not invincible. Can Vet J 36:295\u2013301","journal-title":"Can Vet J"},{"key":"238_CR9","doi-asserted-by":"publisher","first-page":"318","DOI":"10.1016\/j.vetmic.2009.08.016","volume":"140","author":"A Fasanella","year":"2010","unstructured":"Fasanella A, Galante A, Garofolo G, Jones MH (2010) Anthrax undervalued zoonosis. Vet Microbiol 140:318\u2013331","journal-title":"Vet Microbiol"},{"key":"238_CR10","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1016\/j.mbs.2012.10.004","volume":"241","author":"A Friedman","year":"2013","unstructured":"Friedman A, Yakubu A-A (2013) Anthrax epizootic and migration: persistence or extinction. Math Biosci 241:137\u2013144","journal-title":"Math Biosci"},{"key":"238_CR11","doi-asserted-by":"publisher","first-page":"130","DOI":"10.1016\/0307-904X(81)90034-2","volume":"5","author":"PR Furniss","year":"1981","unstructured":"Furniss PR, Hahn BD (1981) A mathematical model of an anthrax epizootic in the Kruger National Park. Appl Math Model 5:130\u2013136","journal-title":"Appl Math Model"},{"key":"238_CR12","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1016\/0304-3800(83)90009-1","volume":"20","author":"BD Hahn","year":"1983","unstructured":"Hahn BD, Furniss PR (1983) A mathematical model of anthrax epizootic: threshold results. Ecol Model 20:233\u2013241","journal-title":"Ecol Model"},{"key":"238_CR13","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1016\/j.mbs.2004.10.013","volume":"206","author":"JAP Heesterbeek","year":"2007","unstructured":"Heesterbeek JAP, Roberts MG (2007) The type-reproduction number T in models for infectious disease control. Math Biosci 206:3\u201310","journal-title":"Math Biosci"},{"key":"238_CR14","volume-title":"Matrix analysis","author":"RA Horn","year":"1990","unstructured":"Horn RA, Johnson CR (1990) Matrix analysis. Cambridge University Press, Cambridge"},{"key":"238_CR15","first-page":"21","volume":"271","author":"P Keim","year":"2002","unstructured":"Keim P, Smith KL (2002) Bacillus anthracis evolution and epidemiology. Curr Top Microbiol Immunol 271:21\u201332","journal-title":"Curr Top Microbiol Immunol"},{"key":"238_CR16","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970432","volume-title":"The stability of dynamical systems, regional conference series in applied mathematics","author":"JP LaSalle","year":"1976","unstructured":"LaSalle JP (1976) The stability of dynamical systems, regional conference series in applied mathematics. SIAM, Philadelphia"},{"key":"238_CR17","doi-asserted-by":"publisher","first-page":"387","DOI":"10.3201\/eid1703.101290","volume":"17","author":"T Lembo","year":"2011","unstructured":"Lembo T, Hampson K, Authy H, Beesley CA, Bessell P, Packer C, Halliday J, Fyumagwa R, Hoare R, Ernest E, Mentzel C, Mlengeya T, Stamey K, Wilkins PP, Cleaveland S (2011) Serologic surveillance of anthrax in the Serengeti ecosystem, Tanzania, 1996\u20132009. Emerg Infect Dis 17:387\u2013394","journal-title":"Emerg Infect Dis"},{"key":"238_CR18","doi-asserted-by":"publisher","first-page":"7","DOI":"10.1186\/1751-0147-52-7","volume":"52","author":"SS Lewerin","year":"2010","unstructured":"Lewerin SS, Elvaander M, Westermark T, Hartzell LN (2010) Anthrax outbreak in Swedish beef cattle herd-1st case in 27 years: case report. Acta Vet Scand 52:7","journal-title":"Acta Vet Scand"},{"key":"238_CR19","volume-title":"Bergey\u2019s manual of systematic bacteriology","author":"NA Logan","year":"2009","unstructured":"Logan NA, De Vos P (2009) Genus I, Bacillus Cohn, 1872, 174AL. In: De Vos P, Garrity GM, Jones D, Krieg NR, Ludwig W, Rainey FA, Schleifer KH, Whitman WB (eds) Bergey\u2019s manual of systematic bacteriology, vol 3, 2nd edn. Springer, New York","edition":"2"},{"key":"238_CR20","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1016\/S0169-5347(01)02144-9","volume":"16","author":"H McCallum","year":"2001","unstructured":"McCallum H, Barlow N, Hone J (2001) How should pathogen transmission be modelled? Trends Ecol Evol 16:295\u2013300","journal-title":"Trends Ecol Evol"},{"key":"238_CR21","doi-asserted-by":"publisher","first-page":"647","DOI":"10.1146\/annurev.micro.55.1.647","volume":"55","author":"M Mock","year":"2001","unstructured":"Mock M, Fouet A (2001) Anthrax. Annu Rev Microbiol 55:647\u2013671","journal-title":"Annu Rev Microbiol"},{"key":"238_CR22","doi-asserted-by":"crossref","first-page":"352","DOI":"10.1177\/003335490812300315","volume":"123","author":"MN Mongoh","year":"2008","unstructured":"Mongoh MN, Dyer NW, Stoltenow CL, Khaitsa ML (2008) Risk factors associated with anthrax outbreaks in animals in North Dakota, 2005: a retrospective case-control study. Public Health Rep 123:352\u2013359","journal-title":"Public Health Rep"},{"key":"238_CR23","doi-asserted-by":"publisher","first-page":"293","DOI":"10.4142\/jvs.2012.13.3.293","volume":"13","author":"HM Munang\u2019andu","year":"2012","unstructured":"Munang\u2019andu HM, Banda F, Siamudaala VM, Munyeme Kasanga CJ, Hamududu R (2012) The effect of seasonal variation on anthrax epidemiology in the upper Zambezi floodplain of western Zambia. J Vet Sci 13:293\u2013298","journal-title":"J Vet Sci"},{"key":"238_CR24","doi-asserted-by":"publisher","DOI":"10.1007\/s40314-015-0297-1","author":"S Mushayabasa","year":"2015","unstructured":"Mushayabasa S, Marijani T, Masocha M (2015) Dynamical analysis and control strategies in modeling anthrax. Comp Appl Math. doi:\n                    10.1007\/s40314-015-0297-1","journal-title":"Comp Appl Math"},{"key":"238_CR25","doi-asserted-by":"publisher","first-page":"1359","DOI":"10.1098\/rspb.2003.2339","volume":"270","author":"MG Roberts","year":"2003","unstructured":"Roberts MG, Heesterbeek JAP (2003) A new method for estimating the effort required to control an infectious disease. Proc R Soc B 270:1359\u20131364","journal-title":"Proc R Soc B"},{"key":"238_CR26","doi-asserted-by":"publisher","first-page":"514","DOI":"10.1007\/s11538-015-0068-6","volume":"77","author":"CM Saad-Roy","year":"2015","unstructured":"Saad-Roy CM, Shuai Z, van den Driessche P (2015) Models of bovine babesiosis including juvenile cattle. Bull Math Biol 77:514\u2013547","journal-title":"Bull Math Biol"},{"key":"238_CR27","doi-asserted-by":"publisher","first-page":"373","DOI":"10.3201\/eid1303.060391","volume":"13","author":"E Schelling","year":"2007","unstructured":"Schelling E, Bechir M, Ahmed MA, Wyss K, Randolph TF, Zinsstag J (2007) Human and animal vaccination delivery to remote nomadic families. Chad Emerg Infect Dis 13:373\u2013379","journal-title":"Chad Emerg Infect Dis"},{"key":"238_CR28","doi-asserted-by":"publisher","first-page":"1513","DOI":"10.1137\/120876642","volume":"73","author":"Z Shuai","year":"2013","unstructured":"Shuai Z, van den Driessche P (2013) Global stability of infectious disease models using Lyapunov functions. SIAM J Appl Math 73:1513\u20131532","journal-title":"SIAM J Appl Math"},{"key":"238_CR29","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1890\/ES12-00245.1","volume":"4","author":"WC Turner","year":"2013","unstructured":"Turner WC, Imologhome P, Havarua Z, Kaaya GP, Mfune JKE, Mpofu IDT, Getz WM (2013) Soil ingestion, nutrition and the seasonality of anthrax in herbivores of Etosha National Park. Ecosphere 4:1\u201319","journal-title":"Ecosphere"},{"key":"238_CR30","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1016\/S0025-5564(02)00108-6","volume":"180","author":"P van den Driessche","year":"2002","unstructured":"van den Driessche P, Watmough J (2002) Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math Biosci 180:29\u201348","journal-title":"Math Biosci"},{"key":"238_CR31","doi-asserted-by":"crossref","DOI":"10.1515\/9781400848737","volume-title":"Population ecology: first principles","author":"JH Vandermeer","year":"2013","unstructured":"Vandermeer JH, Goldberg DE (2013) Population ecology: first principles, 2nd edn. Princeton University Press, Princeton","edition":"2"},{"key":"238_CR32","volume-title":"Anthrax in humans and animals","author":"World Health Organization (WHO), International Office of Epizootics","year":"2008","unstructured":"World Health Organization (WHO), International Office of Epizootics (2008) Anthrax in humans and animals. World Health Organization, Geneva"},{"key":"238_CR33","first-page":"1","volume":"59","author":"JG Wright","year":"2010","unstructured":"Wright JG, Quinn CP, Shadomy S, Messonier N (2010) Use of anthrax vaccine in the United States, recommendations of the Advisory Committee on Immunization Practices (ACIP), 2009. Morb Mortal Wkly Report 59:1\u201330","journal-title":"Morb Mortal Wkly Report"}],"container-title":["Bulletin of Mathematical Biology"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11538-016-0238-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11538-016-0238-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11538-016-0238-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,17]],"date-time":"2020-05-17T16:40:39Z","timestamp":1589733639000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11538-016-0238-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,12,29]]},"references-count":33,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2017,2]]}},"alternative-id":["238"],"URL":"https:\/\/doi.org\/10.1007\/s11538-016-0238-1","relation":{},"ISSN":["0092-8240","1522-9602"],"issn-type":[{"value":"0092-8240","type":"print"},{"value":"1522-9602","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,12,29]]},"assertion":[{"value":"4 July 2016","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 December 2016","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 December 2016","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}