Basic Reproduction Number of Rabies Model with Stage Structure

Acta Applicandae Mathematicae - Tập 132 - Trang 649-661 - 2014
Wendi Wang1
1Key Laboratory of Eco-environments in Three Gorges Reservoir Region, School of Mathematics and Statistics, Southwest University, Chongqing, P.R. China

Tóm tắt

The mathematical model is proposed to simulate the dynamics of rabies transmissions in the raccoon population where juveniles stay with their mother and become adults until they establish their own habitats. The basic reproduction number of rabies transmission is formulated and is shown to be a threshold value of disease invasion. The bifurcation direction from the disease-free equilibrium is proved to be forward when the basic reproduction number passes through unity for spatial homogenous environment. The global stability of the disease-free steady state is also studied.

Tài liệu tham khảo

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