Stability Analysis of Dengue Disease Using Host–Vector Model

摘要: The previous model of dengue disease was discussed only in host population using a simple SIR model. In fact, vectors provide an important role the spread fever since can be infected by vector. Hence it is reasonable to build and vector population. From model, there are two kinds equilibrium point: free endemic. Solution behavior analyzed changes basic reproduction number which obtained next generating matrix. If less or equal than one, then LaSalle–Lyapunov Theorem, shown that disease-free globally asymptotically stable. reproductive greater Routh–Hurwitz Condition, endemic locally end, we present numerical solution with MAPLE.