2018/01/22 by Weronika Wojtak, Cristiana J. Silva, Delfim F. M. Torres · 1 citation
Mathematics · Biochemistry, Genetics and Molecular Biology · #math.OC #math.CA #math.DS #q-bio.PE #msc:26A33 #msc:34C60 #msc:34D20 #msc:92C60
paper · pdf · doi:10.1051/mmnp/2018015
published as Math. Model. Nat. Phenom. 13 (2018), no. 1, Art. 9, 10 pp · This is a preprint of a paper whose final and definite form is with Math. Model. Nat. Phenom., ISSN: 0973-5348, available at http://dx.doi.org/10.1051/mmnp/2018015 . Paper Submitted 12-08-2017; Revised 19-01-2018; Accepted 22-01-2018
arxiv created 2018/01/22 · arxiv updated 2018/04/10
We propose a Caputo type fractional-order mathematical model for the transmission dynamics of tuberculosis (TB). Uniform asymptotic stability of the unique endemic equilibrium of the fractional-order TB model is proved, for any α∈ (0, 1). Numerical simulations for the stability of the endemic equilibrium are provided.