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Use Of A Periodic Vaccination Strategy To Control The Spread Of Epidemics With Seasonally Varying Contact Rate
1.  Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt 
2.  Department of Statistics and Modelling Science, Livingstone Tower, 26 Richmond Street, Glasgow G1 1XH, United Kingdom 
[1] 
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 
[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] 
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 
[4] 
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 
[5] 
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 
[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] 
P.E. Kloeden, Desheng Li, Chengkui Zhong. Uniform attractors of periodic and asymptotically periodic dynamical systems. Discrete & Continuous Dynamical Systems  A, 2005, 12 (2) : 213232. doi: 10.3934/dcds.2005.12.213 
[8] 
Toshikazu Kuniya, Mimmo Iannelli. $R_0$ and the global behavior of an agestructured SIS epidemic model with periodicity and vertical transmission. Mathematical Biosciences & Engineering, 2014, 11 (4) : 929945. doi: 10.3934/mbe.2014.11.929 
[9] 
Karl Kunisch, Markus Müller. Uniform convergence of the POD method and applications to optimal control. Discrete & Continuous Dynamical Systems  A, 2015, 35 (9) : 44774501. doi: 10.3934/dcds.2015.35.4477 
[10] 
Keng Deng, Yixiang Wu. Extinction and uniform strong persistence of a sizestructured population model. Discrete & Continuous Dynamical Systems  B, 2017, 22 (3) : 831840. doi: 10.3934/dcdsb.2017041 
[11] 
Artur Avila, Thomas Roblin. Uniform exponential growth for some SL(2, R) matrix products. Journal of Modern Dynamics, 2009, 3 (4) : 549554. doi: 10.3934/jmd.2009.3.549 
[12] 
Liumei Wu, Baojun Song, Wen Du, Jie Lou. Mathematical modelling and control of echinococcus in Qinghai province, China. Mathematical Biosciences & Engineering, 2013, 10 (2) : 425444. doi: 10.3934/mbe.2013.10.425 
[13] 
A. K. Misra, Anupama Sharma, Jia Li. A mathematical model for control of vector borne diseases through media campaigns. Discrete & Continuous Dynamical Systems  B, 2013, 18 (7) : 19091927. doi: 10.3934/dcdsb.2013.18.1909 
[14] 
Hisashi Inaba. The Malthusian parameter and $R_0$ for heterogeneous populations in periodic environments. Mathematical Biosciences & Engineering, 2012, 9 (2) : 313346. doi: 10.3934/mbe.2012.9.313 
[15] 
Kaifa Wang, Aijun Fan. Uniform persistence and periodic solution of chemostattype model with antibiotic. Discrete & Continuous Dynamical Systems  B, 2004, 4 (3) : 789795. doi: 10.3934/dcdsb.2004.4.789 
[16] 
Sergey Zelik. Strong uniform attractors for nonautonomous dissipative PDEs with non translationcompact external forces. Discrete & Continuous Dynamical Systems  B, 2015, 20 (3) : 781810. doi: 10.3934/dcdsb.2015.20.781 
[17] 
Martin Swaczyna, Petr Volný. Uniform motions in central fields. Journal of Geometric Mechanics, 2017, 9 (1) : 91130. doi: 10.3934/jgm.2017004 
[18] 
Mickaël Kourganoff. Uniform hyperbolicity in nonflat billiards. Discrete & Continuous Dynamical Systems  A, 2018, 38 (3) : 11451160. doi: 10.3934/dcds.2018048 
[19] 
Younghun Hong, Changhun Yang. Uniform Strichartz estimates on the lattice. Discrete & Continuous Dynamical Systems  A, 2019, 39 (6) : 32393264. doi: 10.3934/dcds.2019134 
[20] 
Cameron J. Browne, Sergei S. Pilyugin. Minimizing $\mathcal R_0$ for inhost virus model with periodic combination antiviral therapy. Discrete & Continuous Dynamical Systems  B, 2016, 21 (10) : 33153330. doi: 10.3934/dcdsb.2016099 
2018 Impact Factor: 1.313
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