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Host Extinction Dynamics in a Simple Parasite-Host Interaction Model
The Role of Vaccination in the Control of SARS
1. | Department of Mathematics, Harvey Mudd College, 340 E. Foothill Blvd. Claremont, CA 91711, United States |
2. | Mathematics department, Clarion University of Pennsylvania, Clarion, Pennsylvania 16214, United States |
3. | Theoretical Division (MS B284), Los Alamos National Laboratory, Los Alamos, NM 87545, United States |
4. | BSCB, Cornell University, Ithaca, NY 14853, United States |
5. | College of Sciences, Georgia Institute of Technology, Atlanta, Georgia 30332, United States |
6. | Department of Mathematics & Statistics, Arizona State University, Tempe, AZ 85287-1804, United States |
[1] |
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, 2021 doi: 10.3934/dcdsb.2021294 |
[2] |
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 |
[3] |
Sunmoo Yoon, Da Kuang, Peter Broadwell, Haeyoung Lee, Michelle Odlum. What can we learn about the Middle East Respiratory Syndrome (MERS) outbreak from tweets?. Big Data & Information Analytics, 2017 doi: 10.3934/bdia.2017013 |
[4] |
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 |
[5] |
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 |
[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] |
Nguyen Thanh Dieu, Vu Hai Sam, Nguyen Huu Du. Threshold of a stochastic SIQS epidemic model with isolation. Discrete and Continuous Dynamical Systems - B, 2021 doi: 10.3934/dcdsb.2021262 |
[8] |
Saroj P. Pradhan, Janos Turi. Parameter dependent stability/instability in a human respiratory control system model. Conference Publications, 2013, 2013 (special) : 643-652. doi: 10.3934/proc.2013.2013.643 |
[9] |
Qingling Zeng, Kamran Khan, Jianhong Wu, Huaiping Zhu. The utility of preemptive mass influenza vaccination in controlling a SARS outbreak during flu season. Mathematical Biosciences & Engineering, 2007, 4 (4) : 739-754. doi: 10.3934/mbe.2007.4.739 |
[10] |
Tomás Caraballo, Mohamed El Fatini, Idriss Sekkak, Regragui Taki, Aziz Laaribi. A stochastic threshold for an epidemic model with isolation and a non linear incidence. Communications on Pure and Applied Analysis, 2020, 19 (5) : 2513-2531. doi: 10.3934/cpaa.2020110 |
[11] |
Robert G. McLeod, John F. Brewster, Abba B. Gumel, Dean A. Slonowsky. Sensitivity and uncertainty analyses for a SARS model with time-varying inputs and outputs. Mathematical Biosciences & Engineering, 2006, 3 (3) : 527-544. doi: 10.3934/mbe.2006.3.527 |
[12] |
Abba B. Gumel, C. Connell McCluskey, James Watmough. An sveir model for assessing potential impact of an imperfect anti-SARS vaccine. Mathematical Biosciences & Engineering, 2006, 3 (3) : 485-512. doi: 10.3934/mbe.2006.3.485 |
[13] |
Antonio DeSimone, Natalie Grunewald, Felix Otto. A new model for contact angle hysteresis. Networks and Heterogeneous Media, 2007, 2 (2) : 211-225. doi: 10.3934/nhm.2007.2.211 |
[14] |
Islam A. Moneim, David Greenhalgh. Use Of A Periodic Vaccination Strategy To Control The Spread Of Epidemics With Seasonally Varying Contact Rate. Mathematical Biosciences & Engineering, 2005, 2 (3) : 591-611. doi: 10.3934/mbe.2005.2.591 |
[15] |
Gregory Zitelli, Seddik M. Djouadi, Judy D. Day. Combining robust state estimation with nonlinear model predictive control to regulate the acute inflammatory response to pathogen. Mathematical Biosciences & Engineering, 2015, 12 (5) : 1127-1139. doi: 10.3934/mbe.2015.12.1127 |
[16] |
Alan J. Terry. Pulse vaccination strategies in a metapopulation SIR model. Mathematical Biosciences & Engineering, 2010, 7 (2) : 455-477. doi: 10.3934/mbe.2010.7.455 |
[17] |
Tao Feng, Zhipeng Qiu. Global analysis of a stochastic TB model with vaccination and treatment. Discrete and Continuous Dynamical Systems - B, 2019, 24 (6) : 2923-2939. doi: 10.3934/dcdsb.2018292 |
[18] |
IvÁn Area, FaÏÇal NdaÏrou, Juan J. Nieto, Cristiana J. Silva, Delfim F. M. Torres. Ebola model and optimal control with vaccination constraints. Journal of Industrial and Management Optimization, 2018, 14 (2) : 427-446. doi: 10.3934/jimo.2017054 |
[19] |
Qianqian Cui, Zhipeng Qiu, Ling Ding. An SIR epidemic model with vaccination in a patchy environment. Mathematical Biosciences & Engineering, 2017, 14 (5&6) : 1141-1157. doi: 10.3934/mbe.2017059 |
[20] |
Wisdom S. Avusuglo, Kenzu Abdella, Wenying Feng. Stability analysis on an economic epidemiological model with vaccination. Mathematical Biosciences & Engineering, 2017, 14 (4) : 975-999. doi: 10.3934/mbe.2017051 |
2018 Impact Factor: 1.313
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