دورية أكاديمية

A Model for the Transmission of Chagas Disease with Random Inputs

التفاصيل البيبلوغرافية
العنوان: A Model for the Transmission of Chagas Disease with Random Inputs
المؤلفون: Daniel James Coffield Jr., Ken Kuttler, Xianggui Qu, Jorge Rabinovich, Meir Shillor, Anna Maria Spagnuolo, Alexandra Zetye
المصدر: Biomath, Vol 3, Iss 2 (2014)
بيانات النشر: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, 2014.
سنة النشر: 2014
المجموعة: LCC:Biology (General)
LCC:Mathematics
مصطلحات موضوعية: Chagas disease, random coefficient, epidemic dynamics, nonlinear dynamical system, sensitivity analysis, Biology (General), QH301-705.5, Mathematics, QA1-939
الوصف: In this work we study and simulate a model for the dynamics of Chagas disease that includes randomness in some of the system coefficients. The disease, caused by the parasite T. cruzi, affects 8-10 million humans throughout rural areas in the Americas. A basic model for the disease dynamics, which consists of four nonlinear differential equations for the populations of the vectors, infected vectors, humans, and domestic animals was developed in Spagnuolo et al., (2009). Here, the model is modified by using a logistic term with two delays for vector population growth and extended to include random coefficients, reflecting the uncertainty in the determination of their values. The existence of the unique local solution for the model as a stochastic process is established. Numerical simulations are performed to conduct sensitivity analysis on seven of the model parameters. Variations in two of the model parameters lead to significant changes in the number of infected humans and infected domestic mammals, indicating that these parameters need to be accurately obtained.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 1314-684X
1314-7218
Relation: http://www.biomathforum.org/biomath/index.php/biomath/article/view/326; https://doaj.org/toc/1314-684X; https://doaj.org/toc/1314-7218
DOI: 10.11145/.biomath.2014.11.071
URL الوصول: https://doaj.org/article/dc6ce94799774e2f9ea83ca888f4bf01
رقم الأكسشن: edsdoj.6ce94799774e2f9ea83ca888f4bf01
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:1314684X
13147218
DOI:10.11145/.biomath.2014.11.071