A Mathematical Model to Investigate the Long-Term Effects of the Lymphatic Filariasis Medical Treatment in Jati Sampurna, West Java | Zendy

Asep K. Supriatna | Zendy; H. Serviana | Zendy; Edy Soewono | Zendy

Open Access

A Mathematical Model to Investigate the Long-Term Effects of the Lymphatic Filariasis Medical Treatment in Jati Sampurna, West Java

Author(s) -

Asep K. Supriatna,

H. Serviana,

Edy Soewono

Publication year - 2009

Publication title -

itb journal of sciences

Language(s) - English

Resource type - Journals

ISSN - 1978-3043

DOI - 10.5614/itbj.sci.2009.41.1.1

Subject(s) - lymphatic filariasis , term (time) , java , lymphatic system , filariasis , medicine , computer science , immunology , programming language , physics , helminths , quantum mechanics

In this paper we discuss a mathematical model for the transmission of Lymphatic Filariasis disease in Jati Sampurna, West Java Indonesia. The model assumes that acute infected humans are infectious and treatment is given to a certain number of acute infected humans found from screening process. The treated acute individuals are assumed to be remain susceptible to the disease. The model is analyzed and it is found a condition for the existence and stability of the endemic equilibrium. A well known rule of thumb in epidemiological model, that is, the endemic equilibrium exists and stable if the basic reproduction number is greater than one, is shown. Moreover, it is also shown that if the level of screening n

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