ورقة بحثية
Global Dynamics and Sensitivity Analysis of a Vector-Host-Reservoir Model = الديناميكية الشاملة وتحليل الحساسية لنموذج العائل-المستودع والناقل

ELmojtaba, Ibrahim M.


 

Global Dynamics and Sensitivity Analysis of a Vector-Host-Reservoir Model = الديناميكية الشاملة وتحليل الحساسية لنموذج العائل-المستودع والناقل

ELmojtaba, Ibrahim M.

The role of animal reservoir in the disease dynamics is not yet properly studied. In the present investigation a mathematical model of a vector-host-reservoir is proposed and analyzed to observe the global dynamics of the disease. We observe that the disease free equilibrium is globally asymptotically stable if the basic reproduction number ( R0) is less than unity whereas unique positive equilibrium is globally asymptotically stable if R0 >1 and transcritical bifurcation occurs at R0 =1 . Our numerical result suggests that the biting rate plays an important role for the propagation of the disease and the recovery rate has not such important contribution towards eradication of the disease. We also perform sensitivity analysis of the model parameters and the results suggest that the death rate of reservoir may be used as a control parameter to eradicate the disease.

The role of animal reservoir in the disease dynamics is not yet properly studied. In the present investigation a mathematical model of a vector-host-reservoir is proposed and analyzed to observe the global dynamics of the disease. We observe that the disease free equilibrium is globally asymptotical...

مادة فرعية

المؤلف : ELmojtaba, Ibrahim M.

مؤلف مشارك : Biswas, Santanu
Chattopadhyay, Joydev

بيانات النشر : Muscat، Sultanate of Oman : Sultan Qaboos Journal of Science، 2016مـ.

التصنيف الموضوعي : العلوم البحتة| .

المواضيع : Mathematics .

Statistics .

الرياضيات .

الإحصاء .

رقم الطبعة : 2

المصدر : Sultan Qaboos University : Muscat، Sultanate of Oman.

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