MODEL PENYEBARAN PENYAKIT MENULAR DENGAN TRANSMISI VERTIKAL

Usman Pagalay

Abstract


The dynamics of many epidemic models for infectious diseases that spread in a single host population demonstrate a threshold phenomenon. If the basic reproduction number R0 is below unity, the disease free equilibrium P is globally stable in the feasible region and the disease always dies out. If R0 > 1, a unique endemic equilibrium P is globally asymptotically stable in the interior of the feasible region and the disease will persist at the endemic equilibrium if it is initially present. In this paper this threshold phenomenon is established for two epidemic models of SEIR type using two recent approaches to the
global-stability problem.


Keywords


Epidemic models; endemic equilibrium; latent period global stability

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Alamat Redaksi
Jurusan Matematika
Fakultas Sains dan Teknologi
Universitas Islam Negeri Maulana Malik Ibrahim Malang
Jalan Gajayana 50 Malang Tlp./Fax. (0341)558933 Malang 65145
Website: matematika.uin-malang.ac.id
E-mail: jurnal_cauchy@yahoo.com

ISSN: 2086–0382