A Fuzzy Delay Differential Equation Model for HIV Dynamics

Autor(es)

Jafelice, Rosana M. ; Barros, Laecio C. ; Bassanezi, Rodney C. ; Carvalho, JP ; Kaymak, DU ; Sousa, JMC

• Tipo de documento: Artigo Científico
• Fonte: PROCEEDINGS OF THE JOINT 2009 INTERNATIONAL FUZZY SYSTEMS ASSOCIATION WORLD CONGRESS AND 2009 EUROPEAN SOCIETY OF FUZZY LOGIC AND TECHNOLOGY CONFERENCE; v. N/A, p. 6-pg., 2009-01-01.

Resumo

This paper presents a process to obtain the solution (or flux) of a fuzzy delay system and to determine the fuzzy expected curve for the HIV (human immunodeficiency virus) when HIV-positive individuals receive antiretroviral therapy. This delay is defined as the time between the infection of a CD4+ type T-lymphocyte cell by the virus and the production of new virus particles. The intracellular delay is represented by an uncertainty parameter that depends on the individual characteristics of HIV-positive patients. A fuzzy rule-based system is used to model this parameter. The solution of the system of delay differential equations, which is a fuzzy process, is obtained from Zadeh's Extension Principle. Lastly, for each instant t, we calculate the fuzzy expected value obtained by the Center of Gravity. (AU)

• Processo FAPESP: 06/05920-7 - Estimabilidade de medidas de associação e efeito em estudos caso-controle espaciais
• Beneficiário: Laécio Carvalho de Barros
• Modalidade de apoio: Auxílio à Pesquisa - Temático