Modeling the Dynamics of Malaria Transmission with Bed Net Protection Perspective

Citations Over Time

Abstract

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.

Related Papers

• → Global threshold property in an epidemic model for disease with latency spreading in a heterogeneous host population(2009)45 cited
• → Stability properties of equilibria of classes of cooperative systems(2001)65 cited
• → Global stability analysis for SEIS models with n latent classes(2008)51 cited
• → Global Stability Analysis of a Metapopulation SIS Epidemic Model(2012)23 cited
• → Stability results for some classes of cooperative systems(2002)7 cited