Mathematical Analysis of Control Strategies of HCV in a Community with Inflow of Infected Immigrants

Autor:	Lucy Namkinga, Neterindwa Ainea, Estomih S. Massawe, Oluwole Daniel Makinde
Rok vydání:	2015
Předmět:	Lyapunov function business.industry media_common.quotation_subject Control (management) Immigration Disease free Inflow Immunization (finance) law.invention symbols.namesake General Energy Transmission (mechanics) law Immunology Health care Econometrics symbols Medicine business media_common
Zdroj:	Advances in Infectious Diseases. :1-13
ISSN:	2164-2656 2164-2648
DOI:	10.4236/aid.2015.51001
Popis:	In this paper, we derive and analyse rigorously a mathematical model of control strategies (scree- ning, education, health care and immunization) of HCV in a community with inflow of infected im- migrants. Both qualitative and quantitative analysis of the model is performed with respect to sta- bility of the disease free and endemic equilibria. The results show that the disease free equili- brium is locally stable at threshold parameter less than unity and unstable at threshold parameter greater than unity. Using Lyapunov method, endemic equilibrium is globally stable under certain conditions. Numerical simulation of the model is implemented to investigate the sensitivity of certain key parameters on the HCV model in a community with inflow of infected immigrants. However, analysis shows that screening, education, health care and immunization have the effect of reducing the transmission of the disease in the community.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3eec601543d18392e7a1de176a2dd65e https://doi.org/10.4236/aid.2015.51001 Zobrazit plný text záznamu