{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,24]],"date-time":"2026-02-24T13:08:22Z","timestamp":1771938502223,"version":"3.50.1"},"reference-count":44,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2019,11,1]],"date-time":"2019-11-01T00:00:00Z","timestamp":1572566400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2019,11,1]],"date-time":"2019-11-01T00:00:00Z","timestamp":1572566400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"}],"funder":[{"DOI":"10.13039\/100014440","name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100014440","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100007480","name":"Universidad de Castilla-La Mancha","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100007480","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of Theoretical Biology"],"published-print":{"date-parts":[[2019,11]]},"DOI":"10.1016\/j.jtbi.2019.07.015","type":"journal-article","created":{"date-parts":[[2019,8,5]],"date-time":"2019-08-05T11:06:34Z","timestamp":1565003194000},"page":"192-204","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":8,"special_numbering":"C","title":["A predictive spatio-temporal model for bovine Babesiosis epidemic transmission"],"prefix":"10.1016","volume":"480","author":[{"given":"Mezouaghi","family":"Abdelheq","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6514-2769","authenticated-orcid":false,"given":"Omar","family":"Belhamiti","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Leila","family":"Bouzid","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7586-9091","authenticated-orcid":false,"given":"Deccy Y.","family":"Trejos","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3214-9606","authenticated-orcid":false,"given":"Jose C.","family":"Valverde","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"issue":"2","key":"10.1016\/j.jtbi.2019.07.015_bib0001","first-page":"94","article-title":"Numerical study of convection-reaction-diffusion equation by the legendre wavelet finite difference method","volume":"19","author":"Ablaoui-Lahmar","year":"2016","journal-title":"Adv. Nonlinear Var. Inequal."},{"issue":"1","key":"10.1016\/j.jtbi.2019.07.015_bib0002","doi-asserted-by":"crossref","first-page":"72","DOI":"10.26637\/mjm201\/009","article-title":"A new legendre wavelets decomposition method for solving pdes","volume":"2","author":"Ablaoui-Lahmar","year":"2014","journal-title":"Malaya J. Mat."},{"key":"10.1016\/j.jtbi.2019.07.015_bib0003","unstructured":"Anon, B. B., 2009. Available at: http:\/\/www.cfsph.iastate.edu\/Factsheets\/pdfs\/bovine-Babesiosis.pdf, viewed at October\/ 02\/ 2018."},{"key":"10.1016\/j.jtbi.2019.07.015_bib0004","doi-asserted-by":"crossref","first-page":"360","DOI":"10.1515\/phys-2017-0040","article-title":"A discrete epidemic model for bovine babesiosis disease and tick populations","volume":"15","author":"Aranda","year":"2017","journal-title":"Open Phys."},{"key":"10.1016\/j.jtbi.2019.07.015_bib0005","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1002\/mma.1544","article-title":"A mathematical model for babesiosis disease in bovine and tick populations","volume":"35","author":"Aranda","year":"2012","journal-title":"Math. Methods Appl. Sci."},{"key":"10.1016\/j.jtbi.2019.07.015_bib0006","doi-asserted-by":"crossref","first-page":"230","DOI":"10.1016\/j.aml.2009.09.017","article-title":"Local bifurcations of continuous dynamical systems under higher order conditions","volume":"23","author":"Balibrea","year":"2010","journal-title":"Appl. Math. Lett."},{"issue":"2","key":"10.1016\/j.jtbi.2019.07.015_bib0007","doi-asserted-by":"crossref","first-page":"661","DOI":"10.1007\/s00332-016-9347-0","article-title":"Topological equivalences for one-parameter bifurcations of scalar maps","volume":"27","author":"Balibrea","year":"2017","journal-title":"J. Nonlinear Sci."},{"issue":"1","key":"10.1016\/j.jtbi.2019.07.015_bib0008","first-page":"85","article-title":"Diffusion and drift models for population dispersal from stochastics and continuum views","volume":"5","author":"Belgacem","year":"2001","journal-title":"Int. J. Appl. Math."},{"issue":"4","key":"10.1016\/j.jtbi.2019.07.015_bib0009","first-page":"371","article-title":"Triple modeling scheme for optimal control related to weighted population dispersal","volume":"16","author":"Belgacem","year":"2009","journal-title":"Nonlinear Stud."},{"key":"10.1016\/j.jtbi.2019.07.015_bib0010","doi-asserted-by":"crossref","first-page":"555","DOI":"10.1016\/j.cnsns.2011.06.004","article-title":"A new approach to solve a set of nonlinear split boundary value problems","volume":"17","author":"Belhamiti","year":"2012","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"issue":"3\u20134","key":"10.1016\/j.jtbi.2019.07.015_bib0011","first-page":"157","article-title":"Parasitisme des tiques (ixodidae) des bovins \u00e0 tiaret, alg\u00e9rie, revue \u00e9lev. m\u00e9d. v\u00e9t","volume":"56","author":"Boulkaboul","year":"2003","journal-title":"Pays Trop."},{"issue":"4","key":"10.1016\/j.jtbi.2019.07.015_bib0012","first-page":"17","article-title":"Effect of seasonal changes on predictive model of bovine babesiosis transmission","volume":"8","author":"Bouzid","year":"2017","journal-title":"Int. J. Model. Simul. Sci. Comput."},{"key":"10.1016\/j.jtbi.2019.07.015_bib0013","series-title":"Mathematical Models in Population Biology and Epidemiology","author":"Brauer","year":"2010"},{"key":"10.1016\/j.jtbi.2019.07.015_bib0014","series-title":"Mathematical Epidemiology","author":"Brauer","year":"2008"},{"key":"10.1016\/j.jtbi.2019.07.015_bib0015","series-title":"Introductory Finite Difference Methods for PDEs","author":"Causon","year":"2010"},{"issue":"3\u20134","key":"10.1016\/j.jtbi.2019.07.015_bib0016","doi-asserted-by":"crossref","first-page":"482","DOI":"10.1016\/j.mcm.2006.10.010","article-title":"Predator.prey model with prey-taxis and diffusion","volume":"46","author":"Chakraborty","year":"2007","journal-title":"Math. Comput. Model."},{"issue":"1","key":"10.1016\/j.jtbi.2019.07.015_bib0017","first-page":"15","article-title":"Review on bovine babesiosis","volume":"9","author":"Demeke","year":"2018","journal-title":"Acta. Parasitol. Glob."},{"issue":"4","key":"10.1016\/j.jtbi.2019.07.015_bib0018","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1007\/BF00178324","article-title":"On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations","volume":"28","author":"Diekmann","year":"1990","journal-title":"J. Math. Biol."},{"issue":"47","key":"10.1016\/j.jtbi.2019.07.015_bib0019","doi-asserted-by":"crossref","first-page":"873","DOI":"10.1098\/rsif.2009.0386","article-title":"The construction of next-generation matrices for compartmental epidemic models","volume":"7","author":"Diekmann","year":"2010","journal-title":"J. R. Soc. Interface"},{"key":"10.1016\/j.jtbi.2019.07.015_bib0020","series-title":"Foreign Animal Diseases","author":"Committee on Foreign and Emerging Diseases of the United States Animal Health Association","year":"2008"},{"key":"10.1016\/j.jtbi.2019.07.015_bib0021","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1016\/S0006-3495(91)82030-6","article-title":"Model of platelet transport in flowing blood with drift and diffusion terms","volume":"60","author":"Eckstein","year":"1991","journal-title":"Biophys. J."},{"key":"10.1016\/j.jtbi.2019.07.015_bib0023","doi-asserted-by":"crossref","first-page":"98","DOI":"10.1007\/s11538-013-9912-8","article-title":"A bovine babesiosis model with dispersion","volume":"76","author":"Friedman","year":"2014","journal-title":"Bull. Math. Biol."},{"issue":"3","key":"10.1016\/j.jtbi.2019.07.015_bib0024","first-page":"61","article-title":"New (0,2) jacobi multi-wavelets adaptive method for numerical simulation of gas separations using hollow fiber membranes","volume":"22","author":"Hamou-Maamar","year":"2015","journal-title":"Commun. Appl. Nonlinear Anal."},{"key":"10.1016\/j.jtbi.2019.07.015_bib0025","series-title":"Mathematics in Medicine and the Life Sciences","author":"Hoppensteadt","year":"1992"},{"key":"10.1016\/j.jtbi.2019.07.015_bib0026","doi-asserted-by":"crossref","first-page":"377","DOI":"10.1016\/S0022-5193(85)80276-9","article-title":"A simple model for the spatial spread and control of rabies","volume":"116","author":"Kallen","year":"1985","journal-title":"J. Theor. Biol."},{"key":"10.1016\/j.jtbi.2019.07.015_bib0027","article-title":"Finite difference methods for ordinary and partial differential equations: steady-state and time-dependent problems","author":"LeVeque","year":"2007","journal-title":"SIAM J. Appl. Math."},{"key":"10.1016\/j.jtbi.2019.07.015_bib0028","first-page":"291","article-title":"Sur le signe de la partie r\u00e9elle des racines d\u2019une \u00e9quation alg\u00e9brique","volume":"10","author":"Li\u00e9nard","year":"1914","journal-title":"J. Math. Pures Appl."},{"key":"10.1016\/j.jtbi.2019.07.015_bib0029","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1196\/annals.1428.072","article-title":"Infection and seroconversion of susceptible animals introduced into a babesiosis endemic area, animal biodiversity and emerging diseases","volume":"1149","author":"Lopez","year":"2008","journal-title":"Ann. N.Y. Acad. Sci."},{"key":"10.1016\/j.jtbi.2019.07.015_bib0030","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1111\/j.1751-0813.1962.tb08719.x","article-title":"Bovine babesiosis: diagnosis of infection by a complement fixation test","author":"Mahoney","year":"1962","journal-title":"Aust. Vet. J."},{"key":"10.1016\/j.jtbi.2019.07.015_bib0031","series-title":"An Introduction to Mathematical Epidemiology","author":"Martcheva","year":"2015"},{"issue":"3","key":"10.1016\/j.jtbi.2019.07.015_bib0032","first-page":"629","article-title":"An algorithm for solving a nonlinear reverse osmosis desalination system using third and fourth chebyshev wavelet methods","volume":"75","author":"Merina","year":"2016","journal-title":"MATCH Commun. Math. Comput. Chem."},{"issue":"3","key":"10.1016\/j.jtbi.2019.07.015_bib0033","doi-asserted-by":"crossref","first-page":"471","DOI":"10.1142\/S0218339015500242","article-title":"Spatio-temporal patterns in a cholera transmission model","volume":"23","author":"Misra","year":"2015","journal-title":"J. Biol. Syst."},{"key":"10.1016\/j.jtbi.2019.07.015_sbref0033","doi-asserted-by":"crossref","first-page":"410","DOI":"10.2306\/scienceasia1513-1874.2013.39.410","article-title":"Contact infection spread in an seir model: an analytical approach","volume":"39","author":"Pongsumpun","year":"2013","journal-title":"ScienceAsia"},{"key":"10.1016\/j.jtbi.2019.07.015_bib0035","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1016\/j.mbs.2006.10.004","article-title":"Continuum description of a contact infection spread in a sir model","volume":"208","author":"Postnikov","year":"2007","journal-title":"Math. Biosci."},{"key":"10.1016\/j.jtbi.2019.07.015_bib0036","first-page":"08","article-title":"Global analysis of the babesiosis disease in bovine and tick populations model and numerical simulation with multistage modified sinc method","author":"Pourbashash","year":"2018","journal-title":"Iran J. Sci. Technol. A."},{"key":"10.1016\/j.jtbi.2019.07.015_bib0037","doi-asserted-by":"crossref","first-page":"514","DOI":"10.1007\/s11538-015-0068-6","article-title":"Models of bovine babesiosis including juvenile cattle","volume":"77","author":"Saad-Roy","year":"2015","journal-title":"Bull. Math. Biol"},{"key":"10.1016\/j.jtbi.2019.07.015_sbref0037","doi-asserted-by":"crossref","first-page":"10","DOI":"10.1155\/2015\/729894","article-title":"A fractional-order epidemic model for bovine babesiosis disease and tick populations","volume":"2015","author":"dos Santos","year":"2015","journal-title":"Abstract Appl. Anal."},{"issue":"1","key":"10.1016\/j.jtbi.2019.07.015_bib0039","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1086\/375297","article-title":"The role of prey taxis in biological control: a spatial theoretical model","volume":"162","author":"Sapoukhina","year":"2003","journal-title":"Am. Nat."},{"key":"10.1016\/j.jtbi.2019.07.015_bib0040","series-title":"Etudes sur les piroplasmoses bovines","author":"Sergent","year":"1945"},{"key":"10.1016\/j.jtbi.2019.07.015_bib0041","first-page":"37","article-title":"Epidemiologia de la babesiosis bovina. i. componentes epidemiologicos","volume":"8","author":"Solorio-Rivera","year":"1997","journal-title":"Rev. Biomed."},{"key":"10.1016\/j.jtbi.2019.07.015_bib0042","first-page":"95","article-title":"Epidemiology of the babesiosis bovis. II. epidemiologic indicators and elements for the design of strategies of control","volume":"8","author":"Solorio-Rivera","year":"1997","journal-title":"Rev. Biomed."},{"key":"10.1016\/j.jtbi.2019.07.015_bib0043","unstructured":"Spickler, A. R., 2008. D v m, bovine babesiosis. Available at http:\/\/www.cfsph.iastate.edu\/DiseaseInfo\/factsheets.php, viewed at October\/ 02\/ 2018."},{"key":"10.1016\/j.jtbi.2019.07.015_bib0044","first-page":"127","article-title":"Stability of continuous systems by routh-hurwitz and mathematica","volume":"4","author":"Valverde","year":"2004","journal-title":"J. Comput. Methods Sci. Eng."},{"key":"10.1016\/j.jtbi.2019.07.015_bib0045","first-page":"1","article-title":"Fractional-order scheme for bovine babesiosis disease and tick populations","volume":"86","author":"Zafar","year":"2017","journal-title":"Adv. Differ. Equ."}],"container-title":["Journal of Theoretical Biology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0022519319303005?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0022519319303005?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,9,20]],"date-time":"2025-09-20T16:26:43Z","timestamp":1758385603000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0022519319303005"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,11]]},"references-count":44,"alternative-id":["S0022519319303005"],"URL":"https:\/\/doi.org\/10.1016\/j.jtbi.2019.07.015","relation":{},"ISSN":["0022-5193"],"issn-type":[{"value":"0022-5193","type":"print"}],"subject":[],"published":{"date-parts":[[2019,11]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"A predictive spatio-temporal model for bovine Babesiosis epidemic transmission","name":"articletitle","label":"Article Title"},{"value":"Journal of Theoretical Biology","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.jtbi.2019.07.015","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2019 Elsevier Ltd. All rights reserved.","name":"copyright","label":"Copyright"}]}}