Optimal control of the genital herpes epidemic

Authors
Citation
A. El-gohary, Optimal control of the genital herpes epidemic, CHAOS SOL F, 12(10), 2001, pp. 1817-1822
Citations number
10
Categorie Soggetti
Multidisciplinary
Journal title
CHAOS SOLITONS & FRACTALS
ISSN journal
09600779 → ACNP
Volume
12
Issue
10
Year of publication
2001
Pages
1817 - 1822
Database
ISI
SICI code
0960-0779(200108)12:10<1817:OCOTGH>2.0.ZU;2-W
Abstract
A spatial stochastic model to study the optimal control of the epidemic is introduced. The equilibrium stales of the epidemic model are found. The sta bility and instability in linear approximation of this model are investigat ed. The optimal control of the unstable equilibrium states is studied. The control functions are obtained from the conditions that ensure the optimal stabilization of these slates. Graphical and numerical simulation of the ob tained results are presented. (C) 2001 Elsevier Science Ltd. All rights res erved.