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1.  University of Texas at Arlington, Box 19408, Arlington, TX 760190408, United States, United States 
[1] 
Timothy C. Reluga, Jan Medlock, Alison Galvani. The discounted reproductive number for epidemiology. Mathematical Biosciences & Engineering, 2009, 6 (2) : 377393. doi: 10.3934/mbe.2009.6.377 
[2] 
Ariel CintrónArias, Carlos CastilloChávez, 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) : 261282. doi: 10.3934/mbe.2009.6.261 
[3] 
Wen Jin, Horst R. Thieme. Persistence and extinction of diffusing populations with two sexes and short reproductive season. Discrete & Continuous Dynamical Systems  B, 2014, 19 (10) : 32093218. doi: 10.3934/dcdsb.2014.19.3209 
[4] 
Cristiana J. Silva, Delfim F. M. Torres. A TBHIV/AIDS coinfection model and optimal control treatment. Discrete & Continuous Dynamical Systems  A, 2015, 35 (9) : 46394663. doi: 10.3934/dcds.2015.35.4639 
[5] 
Oluwaseun Sharomi, Chandra N. Podder, Abba B. Gumel, Baojun Song. Mathematical analysis of the transmission dynamics of HIV/TB coinfection in the presence of treatment. Mathematical Biosciences & Engineering, 2008, 5 (1) : 145174. doi: 10.3934/mbe.2008.5.145 
[6] 
Julijana Gjorgjieva, Kelly Smith, Gerardo Chowell, Fabio Sánchez, Jessica Snyder, Carlos CastilloChavez. The Role of Vaccination in the Control of SARS. Mathematical Biosciences & Engineering, 2005, 2 (4) : 753769. doi: 10.3934/mbe.2005.2.753 
[7] 
Dennis L. Chao, Dobromir T. Dimitrov. Seasonality and the effectiveness of mass vaccination. Mathematical Biosciences & Engineering, 2016, 13 (2) : 249259. doi: 10.3934/mbe.2015001 
[8] 
Najat Ziyadi. A malefemale mathematical model of human papillomavirus (HPV) in African American population. Mathematical Biosciences & Engineering, 2017, 14 (1) : 339358. doi: 10.3934/mbe.2017022 
[9] 
Kentarou Fujie, Akio Ito, Michael Winkler, Tomomi Yokota. Stabilization in a chemotaxis model for tumor invasion. Discrete & Continuous Dynamical Systems  A, 2016, 36 (1) : 151169. doi: 10.3934/dcds.2016.36.151 
[10] 
Matthew H. Chan, Peter S. Kim, Robert Marangell. Stability of travelling waves in a Wolbachia invasion. Discrete & Continuous Dynamical Systems  B, 2018, 23 (2) : 609628. doi: 10.3934/dcdsb.2018036 
[11] 
Ebenezer Bonyah, Samuel Kwesi Asiedu. Analysis of a Lymphatic filariasisschistosomiasis coinfection with public health dynamics: Model obtained through MittagLeffler function. Discrete & Continuous Dynamical Systems  S, 2018, 0 (0) : 519537. doi: 10.3934/dcdss.2020029 
[12] 
Bruno Buonomo. A simple analysis of vaccination strategies for rubella. Mathematical Biosciences & Engineering, 2011, 8 (3) : 677687. doi: 10.3934/mbe.2011.8.677 
[13] 
Eunha Shim. Prioritization of delayed vaccination for pandemic influenza. Mathematical Biosciences & Engineering, 2011, 8 (1) : 95112. doi: 10.3934/mbe.2011.8.95 
[14] 
Zhilan Feng, Wenzhang Huang, Donald L. DeAngelis. Spatially heterogeneous invasion of toxic plant mediated by herbivory. Mathematical Biosciences & Engineering, 2013, 10 (5&6) : 15191538. doi: 10.3934/mbe.2013.10.1519 
[15] 
Janet Dyson, Eva Sánchez, Rosanna VillellaBressan, Glenn F. Webb. An age and spatially structured model of tumor invasion with haptotaxis. Discrete & Continuous Dynamical Systems  B, 2007, 8 (1) : 4560. doi: 10.3934/dcdsb.2007.8.45 
[16] 
Mohammad El Smaily, François Hamel, Lionel Roques. Homogenization and influence of fragmentation in a biological invasion model. Discrete & Continuous Dynamical Systems  A, 2009, 25 (1) : 321342. doi: 10.3934/dcds.2009.25.321 
[17] 
Hao Wang, Katherine Dunning, James J. Elser, Yang Kuang. Daphnia species invasion, competitive exclusion, and chaotic coexistence. Discrete & Continuous Dynamical Systems  B, 2009, 12 (2) : 481493. doi: 10.3934/dcdsb.2009.12.481 
[18] 
Natalia L. Komarova. Spatial stochastic models of cancer: Fitness, migration, invasion. Mathematical Biosciences & Engineering, 2013, 10 (3) : 761775. doi: 10.3934/mbe.2013.10.761 
[19] 
WanTong Li, Li Zhang, GuoBao Zhang. Invasion entire solutions in a competition system with nonlocal dispersal. Discrete & Continuous Dynamical Systems  A, 2015, 35 (4) : 15311560. doi: 10.3934/dcds.2015.35.1531 
[20] 
M.A.J Chaplain, G. Lolas. Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity. Networks & Heterogeneous Media, 2006, 1 (3) : 399439. doi: 10.3934/nhm.2006.1.399 
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