Temporal Model for Dengue Disease with Treatment

Simple item page
dc.creatorMassawe, Laurencia N.
dc.creatorMassawe, Estomih S.
dc.creatorMakinde, Oluwole D.
dc.date2016-06-26T17:16:14Z
dc.date2016-06-26T17:16:14Z
dc.date2015
dc.date.accessioned2018-03-27T08:57:55Z
dc.date.available2018-03-27T08:57:55Z
dc.descriptionThis paper examines the effect of treatment of Dengue fever disease. A non linear mathematical model for the problem is proposed and analysed quantitatively using the stability theory of the differential equations. The results show that the disease-free equilibrium point is locally andglobally asymptotically stable if the reproduction number (R ) 0 is less than unity. The additive compound matrices approach is used to show that the dengue fever model’s endemic equilibrium point is locally asymptotically stable when trace, determinant and determinant of second additive compound matrix of the Jacobian matrix are all negative. However, treatment will have a control of dengue fever disease. Numerical simulation of the model is implemented to investigate the sensitivity of certain key parameters on the dengue fever disease with treatment.
dc.identifierMassawe, L.N., Massawe, E.S. and Makinde, O.D., 2015. Temporal Model for Dengue Disease with Treatment. Advances in Infectious Diseases, 5(01), p.21.
dc.identifierhttp://hdl.handle.net/20.500.11810/2740
dc.identifier10.4236/aid.2015.51003
dc.identifier.urihttp://hdl.handle.net/20.500.11810/2740
dc.languageen
dc.publisherScientific Research
dc.subjectDengue Fever Disease
dc.subjectTreatment of Dengue Fever Disease
dc.subjectEquilibrium Stability
dc.subjectReproduction Number
dc.subjectSensitivity Index
dc.titleTemporal Model for Dengue Disease with Treatment
dc.typeJournal Article, Peer Reviewed

Files

Collections

Department of Mathematics