کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7154658 1462584 2018 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Non-integer order analysis of the impact of diabetes and resistant strains in a model for TB infection
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Non-integer order analysis of the impact of diabetes and resistant strains in a model for TB infection
چکیده انگلیسی
We study the impact of diabetes and multi-drug resistant strains in a non-integer order model for tuberculosis (TB) infection in a community. We compute the reproduction number, R0, of the model and analyse its behaviour numerically for variation of epidemiologically relevant parameters. Namely, the increased susceptibility to TB due to diabetes, the diabetes recruitment rate, and the increased progression of non-diabetics TB infectious to diabetic TB infectious individuals, due to their active TB status. We have proven the global stability of the disease-free equilibrium for specific conditions, related with exogeneous and endogeneous reinfections, and relapse of recovered individuals. Numerical simulations of the model for the above mentioned parameters confirm the dynamics predicted by the value of R0. For R0 < 1 the disease-free equilibrium is stable, and it becomes unstable for R0 > 1. The sensitivity indexes of R0 are computed and discussed. The order of the fractional derivative adds more information about the complexity of the dynamics of the proposed model and may help distinguishing dynamical traits in distinct TB patients.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 61, August 2018, Pages 104-126
نویسندگان
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