Mathematical Model for Dengue Fever with Vertical Transmission and Control Measures
Dengue Fever Model
Keywords:
Dengue Fever, Mathematical Model, Stability Analysis, Sensitivity AnalysisAbstract
Dengue Fever is one of the infectious vector-borne diseases transmitted to humans through the biting of
Aedes mosquito species. In this study, we formulate a deterministic mathematical model with vertical transmission
and control measures for simulating Dengue Fever transmission between humans and vectors. The
model was analyzed and we determined the basic reproduction number. Also, stability analysis of the model
equilibrium points derived with respect to the basic reproduction number value and the forward bifurcation
occurred for the model. Sensitivity analysis for the basic reproduction number achieved local and global and
we determined the important parameters for Dengue Fever transmission. Through the numerical simulation
of the model by using the Runge–Kutta fourth order method we investigate the effects of the control measures
on the model compartments. Recommendations for eradicating and reducing Dengue Fever transmission are
provided.
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