Model penyebaran penyakit menular dengan transmisi vertikal

Main Author: Pagalay, Usman
Format: Journal PeerReviewed Book
Bahasa: ind
Terbitan: Jurusan Matematika UIN Maulana Malik Ibrahim Malang , 2009
Subjects:
Online Access: http://repository.uin-malang.ac.id/1847/2/1847.pdf
http://repository.uin-malang.ac.id/1847/
http://ejournal.uin-malang.ac.id/index.php/Math/article/view/1701
http://dx.doi.org/10.18860/ca.v1i1.1701
Daftar Isi:
  • 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 > 0 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 SE IR type using two recent approaches to the global-stability problem.