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Towards a long-term model construction for the dynamic simulation of HIV infection
1. | Department of Chemical Engineering, University of Cambridge, Pembroke Street, Cambridge, CB2 3RA, United Kingdom, United Kingdom |
2. | Escuela de Ingenieria Bioquimica, Pontificia Universidad Catolica de Valparaiso, Av Brasil, Valparaiso, 2147, Chile |
[1] |
Igor Chueshov, Irena Lasiecka, Daniel Toundykov. Long-term dynamics of semilinear wave equation with nonlinear localized interior damping and a source term of critical exponent. Discrete and Continuous Dynamical Systems, 2008, 20 (3) : 459-509. doi: 10.3934/dcds.2008.20.459 |
[2] |
Tyson Loudon, Stephen Pankavich. Mathematical analysis and dynamic active subspaces for a long term model of HIV. Mathematical Biosciences & Engineering, 2017, 14 (3) : 709-733. doi: 10.3934/mbe.2017040 |
[3] |
Raffaele D'Ambrosio, Martina Moccaldi, Beatrice Paternoster. Numerical preservation of long-term dynamics by stochastic two-step methods. Discrete and Continuous Dynamical Systems - B, 2018, 23 (7) : 2763-2773. doi: 10.3934/dcdsb.2018105 |
[4] |
Ian Johnson, Evelyn Sander, Thomas Wanner. Branch interactions and long-term dynamics for the diblock copolymer model in one dimension. Discrete and Continuous Dynamical Systems, 2013, 33 (8) : 3671-3705. doi: 10.3934/dcds.2013.33.3671 |
[5] |
Brian Pigott, Sarah Raynor. Long-term stability for kdv solitons in weighted Hs spaces. Communications on Pure and Applied Analysis, 2017, 16 (2) : 393-416. doi: 10.3934/cpaa.2017020 |
[6] |
Nirav Dalal, David Greenhalgh, Xuerong Mao. Mathematical modelling of internal HIV dynamics. Discrete and Continuous Dynamical Systems - B, 2009, 12 (2) : 305-321. doi: 10.3934/dcdsb.2009.12.305 |
[7] |
Young Hee Geum, Young Ik Kim. Long-term orbit dynamics viewed through the yellow main component in the parameter space of a family of optimal fourth-order multiple-root finders. Discrete and Continuous Dynamical Systems - B, 2020, 25 (8) : 3087-3109. doi: 10.3934/dcdsb.2020052 |
[8] |
Jacek Banasiak, Adam Błoch. Telegraph systems on networks and port-Hamiltonians. Ⅲ. Explicit representation and long-term behaviour. Evolution Equations and Control Theory, 2022 doi: 10.3934/eect.2022016 |
[9] |
Semih Yalçındağ, Ettore Lanzarone. Merging short-term and long-term planning problems in home health care under continuity of care and patterns for visits. Journal of Industrial and Management Optimization, 2022, 18 (2) : 1487-1504. doi: 10.3934/jimo.2021029 |
[10] |
Mouhamadou Aliou M. T. Baldé, Diaraf Seck. Coupling the shallow water equation with a long term dynamics of sand dunes. Discrete and Continuous Dynamical Systems - S, 2016, 9 (5) : 1521-1551. doi: 10.3934/dcdss.2016061 |
[11] |
Xiulan Lai, Xingfu Zou. A reaction diffusion system modeling virus dynamics and CTLs response with chemotaxis. Discrete and Continuous Dynamical Systems - B, 2016, 21 (8) : 2567-2585. doi: 10.3934/dcdsb.2016061 |
[12] |
Ingenuin Gasser, Marcus Kraft. Modelling and simulation of fires in tunnel networks. Networks and Heterogeneous Media, 2008, 3 (4) : 691-707. doi: 10.3934/nhm.2008.3.691 |
[13] |
Ingenuin Gasser. Modelling and simulation of a solar updraft tower. Kinetic and Related Models, 2009, 2 (1) : 191-204. doi: 10.3934/krm.2009.2.191 |
[14] |
Igor Chueshov, Peter E. Kloeden, Meihua Yang. Long term dynamics of second order-in-time stochastic evolution equations with state-dependent delay. Discrete and Continuous Dynamical Systems - B, 2018, 23 (3) : 991-1009. doi: 10.3934/dcdsb.2018139 |
[15] |
Pierre Degond, Marcello Delitala. Modelling and simulation of vehicular traffic jam formation. Kinetic and Related Models, 2008, 1 (2) : 279-293. doi: 10.3934/krm.2008.1.279 |
[16] |
Alex James, Simon Green, Mike Plank. Modelling the dynamic response of oxygen uptake to exercise. Discrete and Continuous Dynamical Systems - B, 2009, 12 (2) : 361-370. doi: 10.3934/dcdsb.2009.12.361 |
[17] |
M.A.J Chaplain, G. Lolas. Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity. Networks and Heterogeneous Media, 2006, 1 (3) : 399-439. doi: 10.3934/nhm.2006.1.399 |
[18] |
Xiaodan Sun, Yanni Xiao, Zhihang Peng. Modelling HIV superinfection among men who have sex with men. Mathematical Biosciences & Engineering, 2016, 13 (1) : 171-191. doi: 10.3934/mbe.2016.13.171 |
[19] |
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 |
[20] |
Bing Li, Yuming Chen, Xuejuan Lu, Shengqiang Liu. A delayed HIV-1 model with virus waning term. Mathematical Biosciences & Engineering, 2016, 13 (1) : 135-157. doi: 10.3934/mbe.2016.13.135 |
2018 Impact Factor: 1.313
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