
Previous Article
On the eradicability of infections with partially protective vaccination in models with backward bifurcation
 MBE Home
 This Issue

Next Article
Examination of a simple model of condom usage and individual withdrawal for the HIV epidemic
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 
[2] 
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 
[3] 
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 
[4] 
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 
[5] 
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 
[6] 
E. Muñoz Garcia, R. PérezMarco. Diophantine conditions in small divisors and transcendental number theory. Discrete & Continuous Dynamical Systems, 2003, 9 (6) : 14011409. doi: 10.3934/dcds.2003.9.1401 
[7] 
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 
[8] 
Marianne Akian, Stéphane Gaubert, Antoine Hochart. A game theory approach to the existence and uniqueness of nonlinear PerronFrobenius eigenvectors. Discrete & Continuous Dynamical Systems, 2020, 40 (1) : 207231. doi: 10.3934/dcds.2020009 
[9] 
Serap Ergün, Bariş Bülent Kırlar, Sırma Zeynep Alparslan Gök, GerhardWilhelm Weber. An application of crypto cloud computing in social networks by cooperative game theory. Journal of Industrial & Management Optimization, 2020, 16 (4) : 19271941. doi: 10.3934/jimo.2019036 
[10] 
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 
[11] 
AminaAicha Khennaoui, A. Othman Almatroud, Adel Ouannas, M. Mossa Alsawalha, Giuseppe Grassi, VietThanh Pham. The effect of caputo fractional difference operator on a novel game theory model. Discrete & Continuous Dynamical Systems  B, 2021, 26 (8) : 45494565. doi: 10.3934/dcdsb.2020302 
[12] 
Juan Pablo Pinasco, Mauro Rodriguez Cartabia, Nicolas Saintier. Evolutionary game theory in mixed strategies: From microscopic interactions to kinetic equations. Kinetic & Related Models, 2021, 14 (1) : 115148. doi: 10.3934/krm.2020051 
[13] 
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. 
[14] 
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. 
[15] 
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 
[16] 
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 
[17] 
KingYeung Lam. Diracconcentrations in an integropde model from evolutionary game theory. Discrete & Continuous Dynamical Systems  B, 2019, 24 (2) : 737754. doi: 10.3934/dcdsb.2018205 
[18] 
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 
[19] 
Claudianor O. Alves, Rodrigo C. M. Nemer, Sergio H. Monari Soares. The use of the Morse theory to estimate the number of nontrivial solutions of a nonlinear Schrödinger equation with a magnetic field. Communications on Pure & Applied Analysis, 2021, 20 (1) : 449465. doi: 10.3934/cpaa.2020276 
[20] 
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 
2018 Impact Factor: 1.313
Tools
Metrics
Other articles
by authors
[Back to Top]