研究论文
BACKWARD BIFURCATION IN A WITHIN-HOST TUBERCULOSIS MODEL
Yudi Ari Adi, A. Thobirin
来源Advances in Mathematics Scientific Journal
年份2020
内容与影响
摘要 · 完整
A within-host tuberculosis model describing the interaction between macrophages and Mycobacterium tuberculosis was developed and analyzed in this paper. We derive R0 as the threshold value of the model and analyze the existence and stability of equilibrium points. Furthermore, bifurcation analysis performed based on the use of the application of the center manifold theory. Explicit condition for the existence of backward bifurcation is given. Finally, numerical simulations are presented to support the theoretical findings
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生物医学Mathematical and Theoretical Epidemiology and Ecology Models
参考文献 11
Macrophages in tuberculosis: friend or foe
被引 312Evelyn Guirado, Larry S. Schlesinger, Gilla Kaplan · Seminars in Immunopathology · 2013
A mathematical model for cellular immunology of tuberculosis
被引 23Eduardo Ibargüen-Mondragón, L. Esteva, Leslie Chávez‐Galán · Mathematical Biosciences & Engineering · 2011
Modeling the Mycobacterium tuberculosis Granuloma – the Critical Battlefield in Host Immunity and Disease
被引 243Evelyn Guirado, Larry S. Schlesinger · Frontiers in Immunology · 2013
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施引文献 7
Design of Optimal Control for the In-host Tuberculosis Fractional Model
被引 6Sanaa L. Khalaf, Mohammed S. Kadhim · Iraqi Journal of Science · 2023
A Within-host Tuberculosis Model Using Optimal Control
被引 4Yudi Ari Adi · JTAM (Jurnal Teori dan Aplikasi Matematika) · 2021
An investigation of Susceptible–Exposed–Infectious–Recovered (SEIR) tuberculosis model dynamics with pseudo-recovery and psychological effect
被引 2Yudi Ari Adi, Suparman Suparman · Healthcare Analytics · 2024
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