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|Title:||Analysis of age-structured malaria transmission model|
|Authors:||Addawe, Joel M.|
Lope, Jose Ernie C.
|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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