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On the eradicability of infections with partially protective vaccination in models with backward bifurcation
The discounted reproductive number for epidemiology
1.  Department of Mathematics, Pennsylvania State University, State College, PA 16802, United States 
2.  Department of Epidemiology and Public Health, Yale University School of Medicine, New Haven, CT 06520, United States, United States 
[1] 
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 
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Astridh Boccabella, Roberto Natalini, Lorenzo Pareschi. On a continuous mixed strategies model for evolutionary game theory. Kinetic & Related Models, 2011, 4 (1) : 187213. doi: 10.3934/krm.2011.4.187 
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Anna Lisa Amadori, Astridh Boccabella, Roberto Natalini. A hyperbolic model of spatial evolutionary game theory. Communications on Pure & Applied Analysis, 2012, 11 (3) : 9811002. doi: 10.3934/cpaa.2012.11.981 
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Eduardo EspinosaAvila, Pablo Padilla Longoria, Francisco HernándezQuiroz. Game theory and dynamic programming in alternate games. Journal of Dynamics & Games, 2017, 4 (3) : 205216. doi: 10.3934/jdg.2017013 
[5] 
Hilla Behar, Alexandra Agranovich, Yoram Louzoun. Diffusion rate determines balance between extinction and proliferation in birthdeath processes. Mathematical Biosciences & Engineering, 2013, 10 (3) : 523550. doi: 10.3934/mbe.2013.10.523 
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E. Muñoz Garcia, R. PérezMarco. Diophantine conditions in small divisors and transcendental number theory. Discrete & Continuous Dynamical Systems  A, 2003, 9 (6) : 14011409. doi: 10.3934/dcds.2003.9.1401 
[7] 
Michael Hochman. Lectures on dynamics, fractal geometry, and metric number theory. Journal of Modern Dynamics, 2014, 8 (3&4) : 437497. doi: 10.3934/jmd.2014.8.437 
[8] 
Tinggui Chen, Yanhui Jiang. Research on operating mechanism for creative products supply chain based on game theory. Discrete & Continuous Dynamical Systems  S, 2015, 8 (6) : 11031112. doi: 10.3934/dcdss.2015.8.1103 
[9] 
Vadim Yu. Kaloshin and Brian R. Hunt. A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms II. Electronic Research Announcements, 2001, 7: 2836. 
[10] 
Vadim Yu. Kaloshin and Brian R. Hunt. A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms I. Electronic Research Announcements, 2001, 7: 1727. 
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Eunha Shim, Beth Kochin, Alison Galvani. Insights from epidemiological game theory into genderspecific vaccination against rubella. Mathematical Biosciences & Engineering, 2009, 6 (4) : 839854. doi: 10.3934/mbe.2009.6.839 
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WaiKi Ching, SinMan Choi, Min Huang. Optimal service capacity in a multipleserver queueing system: A game theory approach. Journal of Industrial & Management Optimization, 2010, 6 (1) : 73102. doi: 10.3934/jimo.2010.6.73 
[13] 
Hideo Deguchi. A reactiondiffusion system arising in game theory: existence of solutions and spatial dominance. Discrete & Continuous Dynamical Systems  B, 2017, 22 (10) : 38913901. doi: 10.3934/dcdsb.2017200 
[14] 
Franco Flandoli, Matti Leimbach. Mean field limit with proliferation. Discrete & Continuous Dynamical Systems  B, 2016, 21 (9) : 30293052. doi: 10.3934/dcdsb.2016086 
[15] 
Fuchen Zhang, Chunlai Mu, Shouming Zhou, Pan Zheng. New results of the ultimate bound on the trajectories of the family of the Lorenz systems. Discrete & Continuous Dynamical Systems  B, 2015, 20 (4) : 12611276. doi: 10.3934/dcdsb.2015.20.1261 
[16] 
Jungho Park. Dynamic bifurcation theory of RayleighBénard convection with infinite Prandtl number. Discrete & Continuous Dynamical Systems  B, 2006, 6 (3) : 591604. doi: 10.3934/dcdsb.2006.6.591 
[17] 
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 
[18] 
John D. Nagy, Dieter Armbruster. Evolution of uncontrolled proliferation and the angiogenic switch in cancer. Mathematical Biosciences & Engineering, 2012, 9 (4) : 843876. doi: 10.3934/mbe.2012.9.843 
[19] 
Yangjin Kim, Soyeon Roh. A hybrid model for cell proliferation and migration in glioblastoma. Discrete & Continuous Dynamical Systems  B, 2013, 18 (4) : 9691015. doi: 10.3934/dcdsb.2013.18.969 
[20] 
Mostafa Adimy, Fabien Crauste, Laurent PujoMenjouet. On the stability of a nonlinear maturity structured model of cellular proliferation. Discrete & Continuous Dynamical Systems  A, 2005, 12 (3) : 501522. doi: 10.3934/dcds.2005.12.501 
2016 Impact Factor: 1.035
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