کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
758777 896451 2014 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An epidemic model to evaluate the homogeneous mixing assumption
ترجمه فارسی عنوان
یک مدل اپیدمی برای ارزیابی فرض همگنی مخلوط کردن
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
چکیده انگلیسی


• Epidemic models can be described by ordinary differential equations.
• In these models, heterogeneities concerning the host contact network are neglected.
• We propose a model to evaluate the validity of this homogeneous mixing assumption.
• We perform this evaluation by using real epidemic data.
• We also show that the model can experience transcritical and Hopf bifurcations.

Many epidemic models are written in terms of ordinary differential equations (ODE). This approach relies on the homogeneous mixing assumption; that is, the topological structure of the contact network established by the individuals of the host population is not relevant to predict the spread of a pathogen in this population. Here, we propose an epidemic model based on ODE to study the propagation of contagious diseases conferring no immunity. The state variables of this model are the percentages of susceptible individuals, infectious individuals and empty space. We show that this dynamical system can experience transcritical and Hopf bifurcations. Then, we employ this model to evaluate the validity of the homogeneous mixing assumption by using real data related to the transmission of gonorrhea, hepatitis C virus, human immunodeficiency virus, and obesity.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 19, Issue 11, November 2014, Pages 4042–4047
نویسندگان
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