{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,11]],"date-time":"2026-02-11T18:55:06Z","timestamp":1770836106667,"version":"3.50.1"},"reference-count":37,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Model. Simul. Sci. Comput."],"published-print":{"date-parts":[[2020,10]]},"abstract":"<jats:p> A mathematical model describing the epidemic interactions between humans and blackflies in the transmission of onchocerciasis is considered. In this model, the onchocerciasis infected human individuals are divided into two classes of infected humans with high and low microfilarial output incorporating saturated treatment function, which caters for high saturation of onchocerciasis disease. We analyze the model feasible region and obtain the basic reproduction number [Formula: see text] using the next generation matrix method. Also, we obtain the onchocerciasis-free and onchocerciasis endemic equilibrium solutions and show that if [Formula: see text] is less than unity, the onchocerciasis-free equilibrium is locally and globally asymptotically stable. Furthermore, we employed a Lyapunov function to analyze the global asymptotic stability of the onchocerciasis\u00a0\u2014 endemic equilibrium whenever [Formula: see text] is greater than unity. In addition, data on mass drug distribution of ivermectin drug to combat onchocerciasis prevalence in Ekiti state of Nigeria were fitted to the model. Graphical results reveal that consistent annual or bi-annual distribution of ivermectin drug in the region is effective in reducing the disease menace. Further simulations also show that public health control measures are needed to minimize infectious contact between humans and blackflies which leads to onchocerciasis infections and visual blindness. <\/jats:p>","DOI":"10.1142\/s1793962320500476","type":"journal-article","created":{"date-parts":[[2020,7,10]],"date-time":"2020-07-10T11:17:28Z","timestamp":1594379848000},"page":"2050047","source":"Crossref","is-referenced-by-count":7,"title":["Transmission dynamics of onchocerciasis with two classes of infection and saturated treatment function"],"prefix":"10.1142","volume":"11","author":[{"given":"Amos Sesan","family":"Idowu","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Physical Science, University of Ilorin, Ilorin, Kwara State, Nigeria"},{"name":"Department of Mathematics, Faculty of Science, Ekiti State University, Ado-Ekiti, Ekiti State, Nigeria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Oluwatayo Michael","family":"Ogunmiloro","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Physical Science, University of Ilorin, Ilorin, Kwara State, Nigeria"},{"name":"Department of Mathematics, Faculty of Science, Ekiti State University, Ado-Ekiti, Ekiti State, Nigeria"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2020,9,14]]},"reference":[{"key":"S1793962320500476BIB001","doi-asserted-by":"crossref","first-page":"316","DOI":"10.1186\/s13071-018-2864-y","volume":"11","author":"Routledge I.","year":"2018","journal-title":"Parasites & Vectors"},{"key":"S1793962320500476BIB002","first-page":"384","volume":"80","author":"Winnen M.","year":"2002","journal-title":"Bull. World Health Organiz."},{"issue":"3","key":"S1793962320500476BIB003","first-page":"35","volume":"10","author":"Grace F.","year":"2018","journal-title":"APOC Exp."},{"key":"S1793962320500476BIB004","first-page":"4","volume":"18","author":"Walker M.","year":"2017","journal-title":"US Nat. Lib. Med. Nat. Instit. Health"},{"issue":"50","key":"S1793962320500476BIB005","first-page":"201","volume":"8","author":"Cupp Ed.","year":"2019","journal-title":"Infect. Disease Pover."},{"key":"S1793962320500476BIB007","first-page":"12","volume":"8","author":"Budden F. H.","year":"1952","journal-title":"British Med. J."},{"issue":"4","key":"S1793962320500476BIB008","doi-asserted-by":"crossref","first-page":"366","DOI":"10.1016\/0035-9203(56)90045-1","volume":"50","author":"Budden F. H.","year":"1956","journal-title":"Trans. Roy. Soc. Tropic. Med. Hygiene"},{"issue":"4","key":"S1793962320500476BIB010","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1016\/0035-9203(56)90046-3","volume":"50","author":"Crosskey R. W.","year":"1956","journal-title":"Trans. Roy. Soc. Tropic. Med. Hygiene"},{"issue":"4","key":"S1793962320500476BIB012","doi-asserted-by":"crossref","first-page":"310","DOI":"10.4103\/0974-9233.71594","volume":"17","author":"Adeoye A. O.","year":"2010","journal-title":"Middle East African J. Opthalmol."},{"issue":"2","key":"S1793962320500476BIB013","doi-asserted-by":"crossref","first-page":"122","DOI":"10.3923\/pjn.2009.122.124","volume":"8","author":"Adewole S. O.","year":"2009","journal-title":"Pakistan J. Nutrit."},{"key":"S1793962320500476BIB014","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1080\/00034983.1998.11813386","volume":"2","author":"Jiya J. J.","year":"1998","journal-title":"Annal. Tropic. Med. Parasitol."},{"issue":"10154","key":"S1793962320500476BIB016","doi-asserted-by":"crossref","first-page":"1170","DOI":"10.1016\/S0140-6736(18)30101-6","volume":"392","author":"Boussinesq M.","year":"2018","journal-title":"The Lancet"},{"issue":"4","key":"S1793962320500476BIB017","doi-asserted-by":"crossref","first-page":"906","DOI":"10.4269\/ajtmh.15-0695","volume":"94","author":"Thiele E. A.","year":"2016","journal-title":"Am. J. Tropic. Med. Hygiene"},{"key":"S1793962320500476BIB018","doi-asserted-by":"crossref","first-page":"1357","DOI":"10.1016\/j.mcm.2005.06.011","volume":"43","author":"Istvan L.","year":"2006","journal-title":"Math. Comput. Model."},{"key":"S1793962320500476BIB019","volume-title":"Infectious Disease","author":"Anderson R. M.","year":"1999"},{"key":"S1793962320500476BIB020","series-title":"Lecture Notes in Biomath","volume-title":"Frontiers in Theoretical Biology","volume":"100","author":"Hethcote H. W.","year":"1994"},{"key":"S1793962320500476BIB021","volume-title":"IMA Volume of Mathematics Application","author":"Castillo C.","year":"2002"},{"issue":"6","key":"S1793962320500476BIB022","first-page":"1","volume":"26","author":"Vargas-de-leon C.","year":"2009","journal-title":"Revista Electron."},{"key":"S1793962320500476BIB023","first-page":"39","volume":"9","author":"Turner H. C.","year":"2015","journal-title":"PLoS Negl. Trop. Dis."},{"issue":"47","key":"S1793962320500476BIB024","doi-asserted-by":"crossref","first-page":"873","DOI":"10.1098\/rsif.2009.0386","volume":"7","author":"Diekmann O.","year":"2010","journal-title":"J. Roy. Soc. Biol. Interf."},{"key":"S1793962320500476BIB025","first-page":"175","volume-title":"Proc. University of Florida International Symp.","author":"La-Salle J. P.","year":"1977"},{"key":"S1793962320500476BIB026","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/S0025-5564(02)00108-6","volume":"180","author":"Van den Driessche P.","year":"2002","journal-title":"Math. Biosci. Eng."},{"key":"S1793962320500476BIB027","doi-asserted-by":"crossref","first-page":"809","DOI":"10.1098\/rstb.1999.0433","volume":"354","author":"Basanez M. G.","year":"1999","journal-title":"Philosoph. Trans. Roy. Soc. London B Biol. Sci."},{"key":"S1793962320500476BIB028","doi-asserted-by":"crossref","first-page":"430","DOI":"10.1016\/S1471-4922(01)02013-X","volume":"17","author":"Basanez M. G.","year":"2001","journal-title":"Trends in Parasitol."},{"key":"S1793962320500476BIB029","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/S0065-308X(08)00611-8","volume":"68","author":"Basanez M. G.","year":"2009","journal-title":"Adv. Parasitol."},{"issue":"1","key":"S1793962320500476BIB030","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1186\/1471-2458-1-12","volume":"1","author":"Alley W. S.","year":"2001","journal-title":"BMC Public Health"},{"key":"S1793962320500476BIB031","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1016\/bs.apar.2016.08.003","volume":"94","author":"Basanez M.","year":"2016","journal-title":"Adv. Parasitol."},{"key":"S1793962320500476BIB032","first-page":"12","volume":"2014","author":"Ikechukwu I.","year":"2014","journal-title":"Abstract Appl. Anal."},{"issue":"2","key":"S1793962320500476BIB033","doi-asserted-by":"crossref","first-page":"40","DOI":"10.3390\/e18020040","volume":"18","author":"Atangana A.","year":"2016","journal-title":"Entropy"},{"issue":"12","key":"S1793962320500476BIB035","first-page":"115","volume":"9","author":"Coffeng L. E.","year":"2014","journal-title":"PLoS One J."},{"issue":"5","key":"S1793962320500476BIB036","first-page":"7","volume":"97","author":"Isobel R.","year":"2018","journal-title":"Am. J. Tropic. Med. Hygiene"},{"issue":"2","key":"S1793962320500476BIB037","first-page":"158","volume":"2017","author":"Kim Y. E.","year":"2017","journal-title":"BMJ Global Health"},{"key":"S1793962320500476BIB038","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1186\/1756-3305-7-241","volume":"7","author":"Turner H. C.","year":"2014","journal-title":"Parasit Vect."},{"key":"S1793962320500476BIB039","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1186\/s13071-015-0779-4","volume":"8","author":"Turner H. C.","year":"2015","journal-title":"Parasit. Vect."},{"issue":"10","key":"S1793962320500476BIB040","first-page":"303","volume":"79","author":"Omondi E. O.","year":"2017","journal-title":"US Nat. Lib. Med. Nat. Instit. Health"},{"key":"S1793962320500476BIB041","doi-asserted-by":"publisher","DOI":"10.1142\/S0218339017500139"},{"issue":"1","key":"S1793962320500476BIB042","first-page":"211","volume":"5","author":"Omondi E. O.","year":"2018","journal-title":"Cogent Math. Statistic."}],"container-title":["International Journal of Modeling, Simulation, and Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793962320500476","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,11]],"date-time":"2020-11-11T05:02:33Z","timestamp":1605070953000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793962320500476"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9,14]]},"references-count":37,"journal-issue":{"issue":"05","published-print":{"date-parts":[[2020,10]]}},"alternative-id":["10.1142\/S1793962320500476"],"URL":"https:\/\/doi.org\/10.1142\/s1793962320500476","relation":{},"ISSN":["1793-9623","1793-9615"],"issn-type":[{"value":"1793-9623","type":"print"},{"value":"1793-9615","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,9,14]]}}}