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On the basic reproduction number $R_0$ in sexual activity models for HIV/AIDS epidemics: Example from Yunnan, China
1.  Institut de Recherche pour le Développement (I.R.D.), 32 avenue Henri Varagnat, 93143 Bondy cedex, France 
2.  College of Mathematics and System Sciences, Xinjiang University, 14 Shengli Road, Urumqi, 830046, China 
3.  National Center for Women and Children's Health, Department of Information Management, 13 Dong Tu Cheng Street, Chang Yang District, Beijing, 100013, China 
[1] 
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 
[2] 
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 
[3] 
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 
[4] 
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 
[5] 
Ping Li, Pablo Raúl Stinga, José L. Torrea. On weighted mixednorm Sobolev estimates for some basic parabolic equations. Communications on Pure & Applied Analysis, 2017, 16 (3) : 855882. doi: 10.3934/cpaa.2017041 
[6] 
Ling Xue, Caterina Scoglio. Networklevel reproduction number and extinction threshold for vectorborne diseases. Mathematical Biosciences & Engineering, 2015, 12 (3) : 565584. doi: 10.3934/mbe.2015.12.565 
[7] 
Gerardo Chowell, Catherine E. Ammon, Nicolas W. Hengartner, James M. Hyman. Estimating the reproduction number from the initial phase of the Spanish flu pandemic waves in Geneva, Switzerland. Mathematical Biosciences & Engineering, 2007, 4 (3) : 457470. doi: 10.3934/mbe.2007.4.457 
[8] 
Abraão D. C. Nascimento, Leandro C. Rêgo, Raphaela L. B. A. Nascimento. Compound truncated Poisson normal distribution: Mathematical properties and Moment estimation. Inverse Problems & Imaging, 2019, 13 (4) : 787803. doi: 10.3934/ipi.2019036 
[9] 
Marius Ghergu, Gurpreet Singh. On a class of mixed ChoquardSchrödingerPoisson systems. Discrete & Continuous Dynamical Systems  S, 2019, 12 (2) : 297309. doi: 10.3934/dcdss.2019021 
[10] 
Jia Li, Zuowei Shen, Rujie Yin, Xiaoqun Zhang. A reweighted $l^2$ method for image restoration with Poisson and mixed PoissonGaussian noise. Inverse Problems & Imaging, 2015, 9 (3) : 875894. doi: 10.3934/ipi.2015.9.875 
[11] 
Arni S.R. Srinivasa Rao, Masayuki Kakehashi. Incubationtime distribution in backcalculation applied to HIV/AIDS data in India. Mathematical Biosciences & Engineering, 2005, 2 (2) : 263277. doi: 10.3934/mbe.2005.2.263 
[12] 
Nicolai T. A. Haydn, Kasia Wasilewska. Limiting distribution and error terms for the number of visits to balls in nonuniformly hyperbolic dynamical systems. Discrete & Continuous Dynamical Systems  A, 2016, 36 (5) : 25852611. doi: 10.3934/dcds.2016.36.2585 
[13] 
Mariantonia Cotronei, Tomas Sauer. Full rank filters and polynomial reproduction. Communications on Pure & Applied Analysis, 2007, 6 (3) : 667687. doi: 10.3934/cpaa.2007.6.667 
[14] 
Scott W. Hansen. Controllability of a basic cochlea model. Evolution Equations & Control Theory, 2016, 5 (4) : 475487. doi: 10.3934/eect.2016015 
[15] 
Claude Carlet, Serge Feukoua. Three basic questions on Boolean functions. Advances in Mathematics of Communications, 2017, 11 (4) : 837855. doi: 10.3934/amc.2017061 
[16] 
Kevin Ford. The distribution of totients. Electronic Research Announcements, 1998, 4: 2734. 
[17] 
Sukhitha W. Vidurupola, Linda J. S. Allen. Basic stochastic models for viral infection within a host. Mathematical Biosciences & Engineering, 2012, 9 (4) : 915935. doi: 10.3934/mbe.2012.9.915 
[18] 
Leonid A. Bunimovich. Dynamical systems and operations research: A basic model. Discrete & Continuous Dynamical Systems  B, 2001, 1 (2) : 209218. doi: 10.3934/dcdsb.2001.1.209 
[19] 
Svend Christensen, Preben Klarskov Hansen, Guozheng Qi, Jihuai Wang. The mathematical method of studying the reproduction structure of weeds and its application to Bromus sterilis. Discrete & Continuous Dynamical Systems  B, 2004, 4 (3) : 777788. doi: 10.3934/dcdsb.2004.4.777 
[20] 
KingYeung Lam, Daniel Munther. Invading the ideal free distribution. Discrete & Continuous Dynamical Systems  B, 2014, 19 (10) : 32193244. doi: 10.3934/dcdsb.2014.19.3219 
2018 Impact Factor: 1.313
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