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Title: Analysis of age-structured malaria transmission model
Authors: Addawe, Joel M.
Lope, Jose Ernie C.
Keywords: Reproduction number
Transmission model
Disease-free equilibrium
Issue Date: 2012
Publisher: Philippine Science Letters
Citation: Philippine Science Letters, v. 5, no. 2
Abstract: In this paper, we propose a model to study the dynamics of malaria in an age-structured human host. Our model divides the human population into two compartments: pre-school (0-5 years) and the rest of the human population. The results of our mathematical analysis indicate that the disease-free equilibrium is asymptotically stable and occurs whenever the basic reproduction number Ro is less than unity. For Ro> 1, the disease-free equilibrium point is unstable. Using published demographic epidemiological parameters, our numerical simulations suggest that a unique, stable endemic equilibrium exists.
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