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Preface
Asymptotic profiles of the steady states for an SIS epidemic reactiondiffusion model
1.  Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 794091042, United States 
2.  Department of Zoology, University of Florida, Gainesville, FL 326118525, United States 
3.  Department of Mathematics, The Ohio State State University, Columbus, Ohio 43210 
4.  Mathematical Biosciences Institute, The Ohio State University, Columbus, OH 43210, United States 
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Roger M. Nisbet, Kurt E. Anderson, Edward McCauley, Mark A. Lewis. Response of equilibrium states to spatial environmental heterogeneity in advective systems. Mathematical Biosciences & Engineering, 2007, 4 (1) : 113. doi: 10.3934/mbe.2007.4.1 
[2] 
Hui Cao, Yicang Zhou. The basic reproduction number of discrete SIR and SEIS models with periodic parameters. Discrete & Continuous Dynamical Systems  B, 2013, 18 (1) : 3756. doi: 10.3934/dcdsb.2013.18.37 
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YuanHang Su, WanTong Li, FeiYing Yang. Effects of nonlocal dispersal and spatial heterogeneity on total biomass. Discrete & Continuous Dynamical Systems  B, 2019, 24 (9) : 49294936. doi: 10.3934/dcdsb.2019038 
[4] 
Ovide Arino, Manuel Delgado, Mónica MolinaBecerra. Asymptotic behavior of diseasefree equilibriums of an agestructured predatorprey model with disease in the prey. Discrete & Continuous Dynamical Systems  B, 2004, 4 (3) : 501515. doi: 10.3934/dcdsb.2004.4.501 
[5] 
Nicolas Bacaër, Xamxinur Abdurahman, Jianli Ye, Pierre Auger. On the basic reproduction number $R_0$ in sexual activity models for HIV/AIDS epidemics: Example from Yunnan, China. Mathematical Biosciences & Engineering, 2007, 4 (4) : 595607. doi: 10.3934/mbe.2007.4.595 
[6] 
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) : 14551474. doi: 10.3934/mbe.2013.10.1455 
[7] 
L. Bakker. The KatokSpatzier conjecture, generalized symmetries, and equilibriumfree flows. Communications on Pure & Applied Analysis, 2013, 12 (3) : 11831200. doi: 10.3934/cpaa.2013.12.1183 
[8] 
Wendi Wang. Population dispersal and disease spread. Discrete & Continuous Dynamical Systems  B, 2004, 4 (3) : 797804. doi: 10.3934/dcdsb.2004.4.797 
[9] 
Tianhui Yang, Lei Zhang. Remarks on basic reproduction ratios for periodic abstract functional differential equations. Discrete & Continuous Dynamical Systems  B, 2019, 24 (12) : 67716782. doi: 10.3934/dcdsb.2019166 
[10] 
Alain Chenciner, Jacques Féjoz. The flow of the equalmass spatial 3body problem in the neighborhood of the equilateral relative equilibrium. Discrete & Continuous Dynamical Systems  B, 2008, 10 (2&3, September) : 421438. doi: 10.3934/dcdsb.2008.10.421 
[11] 
W. E. Fitzgibbon, M.E. Parrott, Glenn Webb. Diffusive epidemic models with spatial and age dependent heterogeneity. Discrete & Continuous Dynamical Systems  A, 1995, 1 (1) : 3557. doi: 10.3934/dcds.1995.1.35 
[12] 
YuXia Wang, WanTong Li. Combined effects of the spatial heterogeneity and the functional response. Discrete & Continuous Dynamical Systems  A, 2019, 39 (1) : 1939. doi: 10.3934/dcds.2019002 
[13] 
Xiaoyan Zhang, Yuxiang Zhang. Spatial dynamics of a reactiondiffusion cholera model with spatial heterogeneity. Discrete & Continuous Dynamical Systems  B, 2018, 23 (6) : 26252640. doi: 10.3934/dcdsb.2018124 
[14] 
Hongyu He, Naohiro Kato. Equilibrium submanifold for a biological system. Discrete & Continuous Dynamical Systems  S, 2011, 4 (6) : 14291441. doi: 10.3934/dcdss.2011.4.1429 
[15] 
Alain Chenciner. The angular momentum of a relative equilibrium. Discrete & Continuous Dynamical Systems  A, 2013, 33 (3) : 10331047. doi: 10.3934/dcds.2013.33.1033 
[16] 
Tom Burr, Gerardo Chowell. The reproduction number $R_t$ in structured and nonstructured populations. Mathematical Biosciences & Engineering, 2009, 6 (2) : 239259. doi: 10.3934/mbe.2009.6.239 
[17] 
Robert Stephen Cantrell, Chris Cosner, Yuan Lou. Evolution of dispersal and the ideal free distribution. Mathematical Biosciences & Engineering, 2010, 7 (1) : 1736. doi: 10.3934/mbe.2010.7.17 
[18] 
Svetlana BunimovichMendrazitsky, Yakov Goltser. Use of quasinormal form to examine stability of tumorfree equilibrium in a mathematical model of bcg treatment of bladder cancer. Mathematical Biosciences & Engineering, 2011, 8 (2) : 529547. doi: 10.3934/mbe.2011.8.529 
[19] 
JianWen Sun, WanTong Li, ZhiCheng Wang. A nonlocal dispersal logistic equation with spatial degeneracy. Discrete & Continuous Dynamical Systems  A, 2015, 35 (7) : 32173238. doi: 10.3934/dcds.2015.35.3217 
[20] 
Peiyu Li. Solving normalized stationary points of a class of equilibrium problem with equilibrium constraints. Journal of Industrial & Management Optimization, 2018, 14 (2) : 637646. doi: 10.3934/jimo.2017065 
2018 Impact Factor: 1.143
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