Temporal Model for Dengue Disease with Treatment

• 作者: Estomih S. Massawe Laurencia Ndelamo Massawe Oluwole D. Makinde
• 来源期刊: 传染病进展(英文)
• 学科: 医学
• 关键词: DENGUE FEVER DISEASE TREATMENT of DENGUE FEVER DISEASE EQUILIBRIUM Stability REPRODUCTION Number Sensitivity Index
• 年，卷（期）: 2015,（1）
• 页码范围: 21-36
• 页数: 16页
• 分类号: R73

摘要

This 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 (R0) 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.