Modeling the Dynamics of Malaria Transmission with Bed Net Protection Perspective

Autor:	Stéphane Yanick Tchoumi, Vivient Corneille Kamla, Jean Claude Kamgang
Rok vydání:	2014
Předmět:	Lyapunov function Bed nets Mathematical optimization Differential equation General Medicine Measure (mathematics) Orthant symbols.namesake Perspective (geometry) Stability theory parasitic diseases symbols Basic reproduction number Mathematics
Zdroj:	Applied Mathematics. :3156-3205
ISSN:	2152-7393 2152-7385
DOI:	10.4236/am.2014.519298
Popis:	We propose and analyze an epidemiological model to evaluate the effectiveness of bed nets as a prophylactic measure in malaria-endemic areas. The main purpose in this work is the modeling of the aggressiveness of anopheles mosquitoes relative to the way humans use to protect themselves against bites of mosquitoes. This model is a system of several differential equations: the number of equations depends on the particular assumptions of the model. We compute the basic reproduction number, and show that if, the disease free equilibrium (DFE) is globally asymptotically stable on the non-negative orthant. If, the system admits a unique endemic equilibrium (EE) that is globally and asymptotically stable. Numerical simulations are presented corresponding to scenarios typical of malaria-endemic areas, based on data collected in the literature. Finally, we discuss the relative effectiveness of different kinds of bed nets.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6bddf1e48fe755f94710731cfb6562ca https://doi.org/10.4236/am.2014.519298 Zobrazit plný text záznamu