{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T12:58:22Z","timestamp":1753880302529,"version":"3.41.2"},"reference-count":0,"publisher":"American Society of Mechanical Engineers","content-domain":{"domain":["asmedigitalcollection.asme.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2013,8,4]]},"abstract":"<jats:p>In this paper we study a fractional order model for malaria transmission. It is considered the integer order model proposed by Chitnis et al [1] and we generalize it up to become a fractional model. The new model is simulated for distinct values of the fractional order. Are considered two initial conditions and a set of parameter values satisfying a value of the reproduction number, R0, less than one, for the integer model. In this case, there is co-existence of a stable disease free equilibrium and an endemic equilibrium. The results are in agreement with the integer order model and reveal that we can extend the dynamical evolution up to new types of transients. Future work will focus on analytically prove some of the results obtained.<\/jats:p>","DOI":"10.1115\/detc2013-12946","type":"proceedings-article","created":{"date-parts":[[2014,2,12]],"date-time":"2014-02-12T14:32:45Z","timestamp":1392215565000},"update-policy":"https:\/\/doi.org\/10.1115\/crossmarkpolicy-asme","source":"Crossref","is-referenced-by-count":2,"title":["Fractional Model for Malaria Disease"],"prefix":"10.1115","author":[{"given":"Carla M. A.","family":"Pinto","sequence":"first","affiliation":[{"name":"Polytechnic of Porto, Porto, Portugal"}]},{"given":"J. A.","family":"Tenreiro Machado","sequence":"additional","affiliation":[{"name":"Polytechnic of Porto, Porto, Portugal"}]}],"member":"33","published-online":{"date-parts":[[2014,2,12]]},"event":{"name":"ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference","start":{"date-parts":[[2013,8,4]]},"sponsor":["Design Engineering Division","Computers and Information in Engineering Division"],"location":"Portland, Oregon, USA","end":{"date-parts":[[2013,8,7]]},"acronym":"IDETC-CIE2013"},"container-title":["Volume 7B: 9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control"],"original-title":[],"link":[{"URL":"http:\/\/asmedigitalcollection.asme.org\/IDETC-CIE\/proceedings-pdf\/doi\/10.1115\/DETC2013-12946\/4255899\/v07bt10a040-detc2013-12946.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,31]],"date-time":"2019-08-31T20:35:17Z","timestamp":1567283717000},"score":1,"resource":{"primary":{"URL":"https:\/\/asmedigitalcollection.asme.org\/IDETC-CIE\/proceedings\/IDETC-CIE2013\/55973\/Portland,%20Oregon,%20USA\/256021"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,8,4]]},"references-count":0,"URL":"https:\/\/doi.org\/10.1115\/detc2013-12946","relation":{},"subject":[],"published":{"date-parts":[[2013,8,4]]},"article-number":"V07BT10A040"}}