Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/predicting-pandemics-in-a-globally-connected-world-volume-1-multiscale-IAiVswVE9B
References (43)
-
Gui‐Quan Sun, Shi-Fu Wang, Mingtao Li, Li Li, Juan Zhang, Wei Zhang, Zhen Jin, G. Feng (2020)
Transmission dynamics of COVID-19 in Wuhan, China: effects of lockdown and medical resourcesNonlinear Dynamics, 101
-
S. Mwalili, M. Kimathi, V. Ojiambo, D. Gathungu, Rachel Mbogo (2020)
SEIR model for COVID-19 dynamics incorporating the environment and social distancingBMC Research Notes, 13
-
A. Klar (1998)
Asymptotic-Induced Domain Decomposition Methods for Kinetic and Drift Diffusion Semiconductor EquationsSIAM J. Sci. Comput., 19
-
N. Bellomo, R. Bingham, M. Chaplain, G. Dosi, G. Forni, D. Knopoff, J. Lowengrub, R. Twarock, M. Virgillito (2020)
A multiscale model of virus pandemic: Heterogeneous interactive entities in a globally connected worldMathematical models & methods in applied sciences : M3AS, 30
-
Tao Zhou, Quanhui Liu, Z. Yang, J. Liao, Kexin Yang, Wei Bai, Xin Lu, Wei Zhang (2020)
Preliminary prediction of the basic reproduction number of the Wuhan novel coronavirus 2019‐nCoVJournal of Evidence-Based Medicine, 13
-
Ognjen Stancevic, C. Angstmann, John Murray, Bruce Henry (2012)
Turing Patterns from Dynamics of Early HIV InfectionBulletin of Mathematical Biology, 75
-
W. Roda, M. Varughese, Donglin Han, Michael Li (2020)
Why is it difficult to accurately predict the COVID-19 epidemic?Infectious Disease Modelling, 5
-
F. Brauer (2017)
Mathematical epidemiology: Past, present, and futureInfectious Disease Modelling, 2
-
G. Chowell (2017)
Fitting dynamic models to epidemic outbreaks with quantified uncertainty: A primer for parameter uncertainty, identifiability, and forecastsInfectious Disease Modelling, 2
-
Chong You, Xing Gai, Yehui Zhang, Xiaohua Zhou (2020)
On the study of full transmission dynamics of COVID-19 in Wuhan -
Gregory Fox, J. Trauer, E. McBryde (2020)
Modelling the impact of COVID‐19 on intensive care services in New South WalesThe Medical Journal of Australia, 212
-
M. Keeling, P. Rohani (2007)
Modeling Infectious Diseases in Humans and Animals -
P. Driessche, James Watmough (2002)
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission.Mathematical biosciences, 180
-
W. Kermack, À. Mckendrick (1927)
A contribution to the mathematical theory of epidemicsProceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences, 115
-
M. Keeling, K. Eames (2005)
Networks and epidemic modelsJournal of The Royal Society Interface, 2
-
F. Al-Showaikh, E. Twizell (2004)
One-dimensional measles dynamicsAppl. Math. Comput., 152
-
Ernesto Estrada (2020)
COVID-19 and SARS-CoV-2. Modeling the present, looking at the futurePhysics Reports, 869
-
O. Diekmann, H. Heesterbeek, T. Britton (2012)
Mathematical Tools for Understanding Infectious Disease Dynamics -
J. Carrillo, B. Yan (2011)
An Asymptotic Preserving Scheme for the Diffusive Limit of Kinetic Systems for ChemotaxisMultiscale Model. Simul., 11
-
Liuyong Pang, Sanhong Liu, Xinan Zhang, Tianhai Tian, Zhong Zhao (2020)
TRANSMISSION DYNAMICS AND CONTROL STRATEGIES OF COVID-19 IN WUHAN, CHINAJournal of Biological Systems, 28
-
J. Wertheim, A. Brown, N. Hepler, S. Mehta, D. Richman, Davey Smith, Sergei Pond (2013)
UC Office of the President Recent Work Title The Global Transmission Network of HIV-1 Permalink -
Shi Jin (1999)
Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic EquationsSIAM J. Sci. Comput., 21
-
J. Carcione, J. Santos, C. Bagaini, J. Ba (2020)
A Simulation of a COVID-19 Epidemic Based on a Deterministic SEIR ModelFrontiers in Public Health, 8
-
E. Massad, M. Burattini, F. Coutinho, L. Lopez (2007)
The 1918 influenza A epidemic in the city of São Paulo, Brazil.Medical hypotheses, 68 2
-
S. Annas, Muh. Pratama, M. Rifandi, W. Sanusi, S. Side (2020)
Stability analysis and numerical simulation of SEIR model for pandemic COVID-19 spread in IndonesiaChaos, Solitons, and Fractals, 139
-
Can Hou, Jiaxin Chen, Yaqing Zhou, Lei Hua, Jinxia Yuan, Shu He, Yi Guo, S. Zhang, Qiaowei Jia, Chenhui Zhao, Jing Zhang, Guangxu Xu, Enzhi Jia (2020)
The effectiveness of quarantine of Wuhan city against the Corona Virus Disease 2019 (COVID‐19): A well‐mixed SEIR model analysisJournal of Medical Virology, 92
-
A. Grey (1977)
The Mathematical Theory of Infectious Diseases and Its ApplicationsJournal of the Operational Research Society
-
Qian Li, B. Tang, N. Bragazzi, Yanni Xiao, Jianhong Wu (2020)
Modeling the impact of mass influenza vaccination and public health interventions on COVID-19 epidemics with limited detection capabilityMathematical biosciences
-
S. Goswami, C. Dey (2022)
COVID-19 and SARS-CoV-2COVID-19 and SARS-CoV-2: The Science and Clinical Application of Conventional and Complementary Treatments
-
G. Röst, Jianhong Wu (2008)
Seir epidemiological model with varying infectivity and infinite delay.Mathematical biosciences and engineering : MBE, 5 2
-
A. Bellouquid, Jacques Tagoudjeu (2015)
An Asymptotic Preserving Scheme for Kinetic Models for Chemotaxis PhenomenaCommunications in Applied and Industrial Mathematics, 9
-
H. Hethcote (2000)
The Mathematics of Infectious DiseasesSIAM Rev., 42
-
Qianying Lin, Shi Zhao, Daozhou Gao, Y. Lou, Shu Yang, S. Musa, M. Wang, Yongli Cai, Weiming Wang, Lin Yang, D. He (2020)
A conceptual model for the outbreak of Coronavirus disease 2019 (COVID-19) in Wuhan, China with individual reaction and governmental action -
N. Shao, Min Zhong, Yue Yan, Hanshuang Pan, Jin Cheng, Wenbin Chen (2020)
Dynamic models for Coronavirus Disease 2019 and data analysisMathematical Methods in the Applied Sciences, 43
-
N. Bellomo, A. Bellouquid, N. Chouhad (2016)
From a multiscale derivation of nonlinear cross-diffusion models to Keller–Segel models in a Navier–Stokes fluidMathematical Models and Methods in Applied Sciences, 26
-
M. Bendahmane, Fahd Karami, M. Zagour (2018)
Kinetic‐fluid derivation and mathematical analysis of the cross‐diffusion–Brinkman systemMathematical Methods in the Applied Sciences, 41
-
M. Samsuzzoha, Manmohan Singh, David Lucy (2010)
Numerical study of an influenza epidemic model with diffusionAppl. Math. Comput., 217
-
Abdelghafour Atlas, M. Bendahmane, Fahd Karami, D. Meskine, M. Zagour (2020)
Kinetic-fluid derivation and mathematical analysis of a nonlocal cross-diffusion–fluid systemApplied Mathematical Modelling
-
N. Bellomo, K. Painter, Youshan Tao, M. Winkler (2019)
Occurrence vs. Absence of Taxis-Driven Instabilities in a May-Nowak Model for Virus InfectionSIAM J. Appl. Math., 79
-
R. Webster, A. Monto, T. Braciale, R. Lamb (2013)
Textbook of Influenza -
D. Fanelli, F. Piazza (2020)
Analysis and forecast of COVID-19 spreading in China, Italy and FranceChaos, Solitons, and Fractals, 134
-
P. Verhulst, P. Verhulst
Notice sur la loi que la population pursuit dans son accroissement -
F. Richards (1959)
A Flexible Growth Function for Empirical UseJournal of Experimental Botany, 10
- Publisher
- Springer International Publishing
- Copyright
- © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
- ISBN
- 978-3-030-96561-7
- Pages
- 285 –306
- DOI
- 10.1007/978-3-030-96562-4_10
- Publisher site
- See Chapter on Publisher Site
Abstract
[A time-dependent Susceptible-Exposed-Infectious-Recovered-Died reaction–diffusion system for the virus pandemic is proposed in this chapter. The macroscopic model is derived from the underlining description delivered by a kinetic theory model. The approach is based on a multiscale decomposition that leads to an equivalent formulation of the kinetic theory model, which couples the microscopic equations with the macroscopic equations. Subsequently, a numerical asymptotic preserving scheme to solve the equivalent formulation is developed and validated by various numerical tests.]
Published: Feb 18, 2022