Abstract
This paper inquires the global properties of a vector borne dengue out break model with non-linear incidence rates and latent delays of both host and vector. The global stability properties of disease free equilibrium as well as endemic equilibrium are obtained by means of appropriate Liapunov functionals and LaSalle's invariance principle for delay differential equations. The global dynamics of equilibria of the model are totally concluded by the basic reproductive number (R0). We proved that if R0 ≤ 1, the disease-free equilibrium globally asymptotically stable and R0 ≤ 1, infected equilibrium is globally asymptotically stable. Numerical simulations are given at the end of paper for a specified model.
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