Temporal Model for Dengue Disease with Treatment

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dc.contributor.authorMassawe, Laurencia N.
dc.contributor.authorMassawe, Estomih S.
dc.contributor.authorMakinde, Oluwole D.
dc.date.accessioned2016-06-26T17:16:14Z
dc.date.available2016-06-26T17:16:14Z
dc.date.issued2015
dc.description.abstractThis 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.en_US
dc.identifier.citationMassawe, 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.en_US
dc.identifier.doi10.4236/aid.2015.51003
dc.identifier.urihttp://hdl.handle.net/20.500.11810/2740
dc.language.isoenen_US
dc.publisherScientific Researchen_US
dc.subjectDengue Fever Diseaseen_US
dc.subjectTreatment of Dengue Fever Diseaseen_US
dc.subjectEquilibrium Stabilityen_US
dc.subjectReproduction Numberen_US
dc.subjectSensitivity Indexen_US
dc.titleTemporal Model for Dengue Disease with Treatmenten_US
dc.typeJournal Article, Peer Revieweden_US
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