Uniform asymptotic stability of a fractional tuberculosis model
Math. Model. Nat. Phenom., 13 1 (2018) 9
Published online: 2018-04-06
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Fractal–fractional model for analysis of tuberculosis infection using Ethiopia incidence data
Kumama Regassa Cheneke, Fatmawati Fatmawati and Mustafa BayramQuantitative Biology 14 (3) (2026)
https://doi.org/10.1002/qub2.70045
A systematic literature review of mathematical models for tuberculosis and dengue fever diseases, and their respective co-infections
S. Sáenz-Sánchez, J. F. Gómez-Aguilar, R. F. Escobar-Jiménez and J. E. Lavín-DelgadoNetwork Modeling Analysis in Health Informatics and Bioinformatics 15 (1) (2026)
https://doi.org/10.1007/s13721-026-00804-5
On the modeling and stability analysis of fractional typhoid fever model with optimal control
Ayuba Sanda, M.R. Odekunle, Abdulfatai Atte Momoh and Déthié DioneResults in Control and Optimization 19 100552 (2025)
https://doi.org/10.1016/j.rico.2025.100552
185 (2025)
https://doi.org/10.1007/978-3-032-03585-1_7
Mathematical modelling and projection of Buruli ulcer transmission dynamics using classical and fractional derivatives: A case study of Cameroon
Rubin Fandio, Hamadjam Abboubakar, Henri Paul Ekobena Fouda, Anoop Kumar and Kottakkaran Sooppy NisarPartial Differential Equations in Applied Mathematics 8 100589 (2023)
https://doi.org/10.1016/j.padiff.2023.100589
Dynamical analysis of two fractional-order SIQRA malware propagation models and their discretizations
Manh Tuan HoangRendiconti del Circolo Matematico di Palermo Series 2 72 (1) 751 (2023)
https://doi.org/10.1007/s12215-021-00707-6
A fractional-order model to study the dynamics of the spread of crime
Sugandha Arora, Trilok Mathur and Kamlesh TiwariJournal of Computational and Applied Mathematics 426 115102 (2023)
https://doi.org/10.1016/j.cam.2023.115102
A review on epidemic models in sight of fractional calculus
Kottakkaran Sooppy Nisar, Muhammad Farman, Mahmoud Abdel-Aty and Jinde CaoAlexandria Engineering Journal 75 81 (2023)
https://doi.org/10.1016/j.aej.2023.05.071
Global analysis of a time fractional order spatio-temporal SIR model
Moulay Rchid Sidi Ammi, Mostafa Tahiri, Mouhcine Tilioua, et al.Scientific Reports 12 (1) (2022)
https://doi.org/10.1038/s41598-022-08992-6
An efficient numerical simulation and mathematical modeling for the prevention of tuberculosis
Zain Ul Abadin Zafar, Samina Younas, Sumera Zaib and Cemil TunçInternational Journal of Biomathematics 15 (04) (2022)
https://doi.org/10.1142/S1793524522500152
Caputo fractional-order SEIRP model for COVID-19 Pandemic
Saheed O. Akindeinde, Eric Okyere, Adebayo O. Adewumi, Ramoshweu S. Lebelo, Olanrewaju O. Fabelurin and Stephen E. MooreAlexandria Engineering Journal 61 (1) 829 (2022)
https://doi.org/10.1016/j.aej.2021.04.097
A noninteger order SEITR dynamical model for TB
Jitendra Panchal, Falguni Acharya and Kanan JoshiAdvances in Continuous and Discrete Models 2022 (1) (2022)
https://doi.org/10.1186/s13662-022-03700-0
Analysis and numerical simulation of tuberculosis model using different fractional derivatives
Zain Ul Abadin Zafar, Sumera Zaib, Muhammad Tanveer Hussain, Cemil Tunç and Shumaila JaveedChaos, Solitons & Fractals 160 112202 (2022)
https://doi.org/10.1016/j.chaos.2022.112202
A mathematical study of a tuberculosis model with fractional derivatives
Hamadjam Abboubakar, Pushpendra Kumar, Vedat Suat Erturk and Anoop KumarInternational Journal of Modeling, Simulation, and Scientific Computing 12 (04) 2150037 (2021)
https://doi.org/10.1142/S1793962321500379
Global Stability of a Caputo Fractional SIRS Model with General Incidence Rate
Moulay Rchid Sidi Ammi, Mostafa Tahiri and Delfim F. M. TorresMathematics in Computer Science 15 (1) 91 (2021)
https://doi.org/10.1007/s11786-020-00467-z
Stability analysis and optimal control of a fractional HIV-AIDS epidemic model with memory and general incidence rate
Adnane Boukhouima, El Mehdi Lotfi, Marouane Mahrouf, et al.The European Physical Journal Plus 136 (1) (2021)
https://doi.org/10.1140/epjp/s13360-020-01013-3
A set-valued approach applied to a control problem of tuberculosis with treatment
Lahoucine Boujallal, Omar Balatif and Mohamed ElhiaIMA Journal of Mathematical Control and Information 38 (3) 1010 (2021)
https://doi.org/10.1093/imamci/dnab021
Fractional Dynamics of Typhoid Fever Transmission Models with Mass Vaccination Perspectives
Hamadjam Abboubakar, Raissa Kom Regonne and Kottakkaran Sooppy NisarFractal and Fractional 5 (4) 149 (2021)
https://doi.org/10.3390/fractalfract5040149
Mathematical Modelling and Analysis of Infectious Diseases
Manh Tuan Hoang and Oluwaseun Francis EgbelowoStudies in Systems, Decision and Control, Mathematical Modelling and Analysis of Infectious Diseases 302 127 (2020)
https://doi.org/10.1007/978-3-030-49896-2_5
The Stability and Stabilization of Infinite Dimensional Caputo-Time Fractional Differential Linear Systems
Hanaa Zitane, Ali Boutoulout and Delfim F. M. TorresMathematics 8 (3) 353 (2020)
https://doi.org/10.3390/math8030353
Lyapunov functions for fractional-order systems in biology: Methods and applications
Adnane Boukhouima, Khalid Hattaf, El Mehdi Lotfi, Marouane Mahrouf, Delfim F.M. Torres and Noura YousfiChaos, Solitons & Fractals 140 110224 (2020)
https://doi.org/10.1016/j.chaos.2020.110224
On the construction and stability analysis of the solution of linear fractional differential equation
Sertaç Erman and Ali DemirApplied Mathematics and Computation 386 125425 (2020)
https://doi.org/10.1016/j.amc.2020.125425
Advanced Applications of Fractional Differential Operators to Science and Technology
Ismail Gad Ameen and Hegagi Mohamed AliAdvances in Computer and Electrical Engineering, Advanced Applications of Fractional Differential Operators to Science and Technology 41 (2020)
https://doi.org/10.4018/978-1-7998-3122-8.ch003
Dynamics and numerical approximations for a fractional-order SIS epidemic model with saturating contact rate
Manh Tuan Hoang, Zain Ul Abadin Zafar and Thi Kim Quy NgoComputational and Applied Mathematics 39 (4) (2020)
https://doi.org/10.1007/s40314-020-01326-0
A new fractional modelling and control strategy for the outbreak of dengue fever
Amin Jajarmi, Sadia Arshad and Dumitru BaleanuPhysica A: Statistical Mechanics and its Applications 535 122524 (2019)
https://doi.org/10.1016/j.physa.2019.122524
Uniform asymptotic stability of a Logistic model with feedback control of fractional order and nonstandard finite difference schemes
Manh Tuan Hoang and A.M. NagyChaos, Solitons & Fractals 123 24 (2019)
https://doi.org/10.1016/j.chaos.2019.03.031
Direct transcription methods based on fractional integral approximation formulas for solving nonlinear fractional optimal control problems
Abubakar Bello Salati, Mostafa Shamsi and Delfim F. M. TorresCommunications in Nonlinear Science and Numerical Simulation 67 334 (2019)
https://doi.org/10.1016/j.cnsns.2018.05.011
Mathematical Modeling and Characterization of the Spread of Chikungunya in Colombia
Gilberto C. González-Parra, Diego F. Aranda, Benito Chen-Charpentier, Miguel Díaz-Rodríguez and Jaime E. CastellanosMathematical and Computational Applications 24 (1) 6 (2019)
https://doi.org/10.3390/mca24010006
An efficient numerical technique for a new fractional tuberculosis model with nonsingular derivative operator
Malik Zaka Ullah, Abdullah K. Alzahrani and Dumitru BaleanuJournal of Taibah University for Science 13 (1) 1147 (2019)
https://doi.org/10.1080/16583655.2019.1688543
Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection
Silvério Rosa and Delfim F.M. TorresChaos, Solitons & Fractals 117 142 (2018)
https://doi.org/10.1016/j.chaos.2018.10.021
Validation of a fractional model for erythrocyte sedimentation rate
J. Vanterler da C. Sousa, Magun N. N. dos Santos, L. A. Magna and E. Capelas de OliveiraComputational and Applied Mathematics 37 (5) 6903 (2018)
https://doi.org/10.1007/s40314-018-0717-0
A fractional model for the dynamics of TB virus
Saif Ullah, Muhammad Altaf Khan and Muhammad FarooqChaos, Solitons & Fractals 116 63 (2018)
https://doi.org/10.1016/j.chaos.2018.09.001