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Global stability of an HIV-1 model with distributed intracellular delays and a combination therapy
A cost-based comparison of quarantine strategies for new emerging diseases
1. | Mathematical, Computational & Modeling Science Center, Arizona State University, Tempe, AZ 85287-1904, United States |
2. | Department of Mathematics, The University of Texas at Arlington, Arlington, TX 76019-0408, United States |
3. | Department of Mathematics, University of Florida, Gainesville, FL 32611-8105, United States |
[1] |
Folashade B. Agusto. Optimal control and cost-effectiveness analysis of a three age-structured transmission dynamics of chikungunya virus. Discrete and Continuous Dynamical Systems - B, 2017, 22 (3) : 687-715. doi: 10.3934/dcdsb.2017034 |
[2] |
Haitao Song, Fang Liu, Feng Li, Xiaochun Cao, Hao Wang, Zhongwei Jia, Huaiping Zhu, Michael Y. Li, Wei Lin, Hong Yang, Jianghong Hu, Zhen Jin. Modeling the second outbreak of COVID-19 with isolation and contact tracing. Discrete and Continuous Dynamical Systems - B, 2022, 27 (10) : 5757-5777. doi: 10.3934/dcdsb.2021294 |
[3] |
Bradley G. Wagner, Brian J. Coburn, Sally Blower. Increasing survival time decreases the cost-effectiveness of using "test & treat'' to eliminate HIV epidemics. Mathematical Biosciences & Engineering, 2013, 10 (5&6) : 1673-1686. doi: 10.3934/mbe.2013.10.1673 |
[4] |
Jane M. Heffernan, Yijun Lou, Marc Steben, Jianhong Wu. Cost-effectiveness evaluation of gender-based vaccination programs against sexually transmitted infections. Discrete and Continuous Dynamical Systems - B, 2014, 19 (2) : 447-466. doi: 10.3934/dcdsb.2014.19.447 |
[5] |
Timothy C. Reluga, Jan Medlock, Alison Galvani. The discounted reproductive number for epidemiology. Mathematical Biosciences & Engineering, 2009, 6 (2) : 377-393. doi: 10.3934/mbe.2009.6.377 |
[6] |
Mohammad A. Safi, Abba B. Gumel. Global asymptotic dynamics of a model for quarantine and isolation. Discrete and Continuous Dynamical Systems - B, 2010, 14 (1) : 209-231. doi: 10.3934/dcdsb.2010.14.209 |
[7] |
Z. Feng. Final and peak epidemic sizes for SEIR models with quarantine and isolation. Mathematical Biosciences & Engineering, 2007, 4 (4) : 675-686. doi: 10.3934/mbe.2007.4.675 |
[8] |
Ariel Cintrón-Arias, Carlos Castillo-Chávez, Luís M. A. Bettencourt, Alun L. Lloyd, H. T. Banks. The estimation of the effective reproductive number from disease outbreak data. Mathematical Biosciences & Engineering, 2009, 6 (2) : 261-282. doi: 10.3934/mbe.2009.6.261 |
[9] |
Xi Huo. Modeling of contact tracing in epidemic populations structured by disease age. Discrete and Continuous Dynamical Systems - B, 2015, 20 (6) : 1685-1713. doi: 10.3934/dcdsb.2015.20.1685 |
[10] |
Narges Montazeri Shahtori, Tanvir Ferdousi, Caterina Scoglio, Faryad Darabi Sahneh. Quantifying the impact of early-stage contact tracing on controlling Ebola diffusion. Mathematical Biosciences & Engineering, 2018, 15 (5) : 1165-1180. doi: 10.3934/mbe.2018053 |
[11] |
Onur Şimşek, O. Erhun Kundakcioglu. Cost of fairness in agent scheduling for contact centers. Journal of Industrial and Management Optimization, 2022, 18 (2) : 873-896. doi: 10.3934/jimo.2021001 |
[12] |
Gabriela Marinoschi. Identification of transmission rates and reproduction number in a SARS-CoV-2 epidemic model. Discrete and Continuous Dynamical Systems - S, 2022 doi: 10.3934/dcdss.2022128 |
[13] |
Gerardo Chowell, R. Fuentes, A. Olea, X. Aguilera, H. Nesse, J. M. Hyman. The basic reproduction number $R_0$ and effectiveness of reactive interventions during dengue epidemics: The 2002 dengue outbreak in Easter Island, Chile. Mathematical Biosciences & Engineering, 2013, 10 (5&6) : 1455-1474. doi: 10.3934/mbe.2013.10.1455 |
[14] |
Xiaoli Yang, Jin Liang, Bei Hu. Minimization of carbon abatement cost: Modeling, analysis and simulation. Discrete and Continuous Dynamical Systems - B, 2017, 22 (7) : 2939-2969. doi: 10.3934/dcdsb.2017158 |
[15] |
Oanh Chau, R. Oujja, Mohamed Rochdi. A mathematical analysis of a dynamical frictional contact model in thermoviscoelasticity. Discrete and Continuous Dynamical Systems - S, 2008, 1 (1) : 61-70. doi: 10.3934/dcdss.2008.1.61 |
[16] |
Santanu Sarkar. Analysis of Hidden Number Problem with Hidden Multiplier. Advances in Mathematics of Communications, 2017, 11 (4) : 805-811. doi: 10.3934/amc.2017059 |
[17] |
Xiaoliang Cheng, Stanisław Migórski, Anna Ochal, Mircea Sofonea. Analysis of two quasistatic history-dependent contact models. Discrete and Continuous Dynamical Systems - B, 2014, 19 (8) : 2425-2445. doi: 10.3934/dcdsb.2014.19.2425 |
[18] |
Maria-Magdalena Boureanu, Andaluzia Matei, Mircea Sofonea. Analysis of a contact problem for electro-elastic-visco-plastic materials. Communications on Pure and Applied Analysis, 2012, 11 (3) : 1185-1203. doi: 10.3934/cpaa.2012.11.1185 |
[19] |
Stanisław Migórski, Anna Ochal, Mircea Sofonea. Analysis of a frictional contact problem for viscoelastic materials with long memory. Discrete and Continuous Dynamical Systems - B, 2011, 15 (3) : 687-705. doi: 10.3934/dcdsb.2011.15.687 |
[20] |
Hailing Xuan, Xiaoliang Cheng. Numerical analysis and simulation of an adhesive contact problem with damage and long memory. Discrete and Continuous Dynamical Systems - B, 2021, 26 (5) : 2781-2804. doi: 10.3934/dcdsb.2020205 |
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