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Dynamically consistent discretetime SI and SIS epidemic models
1.  Department of Mathematics and Statistics, Box 41042, Texas Tech University, Lubbock, TX 794091042, United States 
References:
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References:
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Jianquan Li, Zhien Ma, Fred Brauer. Global analysis of discretetime SI and SIS epidemic models. Mathematical Biosciences & Engineering, 2007, 4 (4) : 699710. doi: 10.3934/mbe.2007.4.699 
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John E. Franke, AbdulAziz Yakubu. Periodically forced discretetime SIS epidemic model with disease induced mortality. Mathematical Biosciences & Engineering, 2011, 8 (2) : 385408. doi: 10.3934/mbe.2011.8.385 
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Francisco de la Hoz, Anna Doubova, Fernando Vadillo. Persistencetime estimation for some stochastic SIS epidemic models. Discrete & Continuous Dynamical Systems  B, 2015, 20 (9) : 29332947. doi: 10.3934/dcdsb.2015.20.2933 
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LihIng W. Roeger, Razvan Gelca. Dynamically consistent discretetime LotkaVolterra competition models. Conference Publications, 2009, 2009 (Special) : 650658. doi: 10.3934/proc.2009.2009.650 
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Abhyudai Singh, Roger M. Nisbet. Variation in risk in singlespecies discretetime models. Mathematical Biosciences & Engineering, 2008, 5 (4) : 859875. doi: 10.3934/mbe.2008.5.859 
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LihIng W. Roeger. Dynamically consistent discrete LotkaVolterra competition models derived from nonstandard finitedifference schemes. Discrete & Continuous Dynamical Systems  B, 2008, 9 (2) : 415429. doi: 10.3934/dcdsb.2008.9.415 
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Carlos M. HernándezSuárez, Carlos CastilloChavez, Osval Montesinos López, Karla HernándezCuevas. An application of queuing theory to SIS and SEIS epidemic models. Mathematical Biosciences & Engineering, 2010, 7 (4) : 809823. doi: 10.3934/mbe.2010.7.809 
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Fred Brauer, Zhilan Feng, Carlos CastilloChávez. Discrete epidemic models. Mathematical Biosciences & Engineering, 2010, 7 (1) : 115. doi: 10.3934/mbe.2010.7.1 
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Yicang Zhou, Paolo Fergola. Dynamics of a discrete agestructured SIS models. Discrete & Continuous Dynamical Systems  B, 2004, 4 (3) : 841850. doi: 10.3934/dcdsb.2004.4.841 
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Jianquan Li, Zhien Ma. Stability analysis for SIS epidemic models with vaccination and constant population size. Discrete & Continuous Dynamical Systems  B, 2004, 4 (3) : 635642. doi: 10.3934/dcdsb.2004.4.635 
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Yijun Lou, XiaoQiang Zhao. Threshold dynamics in a timedelayed periodic SIS epidemic model. Discrete & Continuous Dynamical Systems  B, 2009, 12 (1) : 169186. doi: 10.3934/dcdsb.2009.12.169 
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Yicang Zhou, Zhien Ma. Global stability of a class of discrete agestructured SIS models with immigration. Mathematical Biosciences & Engineering, 2009, 6 (2) : 409425. doi: 10.3934/mbe.2009.6.409 
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Yoichi Enatsu, Yukihiko Nakata, Yoshiaki Muroya. Global stability for a class of discrete SIR epidemic models. Mathematical Biosciences & Engineering, 2010, 7 (2) : 347361. doi: 10.3934/mbe.2010.7.347 
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Yuyun Zhao, Yi Zhang, Tao Xu, Ling Bai, Qian Zhang. pth moment exponential stability of hybrid stochastic functional differential equations by feedback control based on discretetime state observations. Discrete & Continuous Dynamical Systems  B, 2017, 22 (1) : 209226. doi: 10.3934/dcdsb.2017011 
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Bara Kim, Jeongsim Kim. Explicit solution for the stationary distribution of a discretetime finite buffer queue. Journal of Industrial & Management Optimization, 2016, 12 (3) : 11211133. doi: 10.3934/jimo.2016.12.1121 
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Ciprian Preda. Discretetime theorems for the dichotomy of oneparameter semigroups. Communications on Pure & Applied Analysis, 2008, 7 (2) : 457463. doi: 10.3934/cpaa.2008.7.457 
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H. L. Smith, X. Q. Zhao. Competitive exclusion in a discretetime, sizestructured chemostat model. Discrete & Continuous Dynamical Systems  B, 2001, 1 (2) : 183191. doi: 10.3934/dcdsb.2001.1.183 
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Alexander J. Zaslavski. The turnpike property of discretetime control problems arising in economic dynamics. Discrete & Continuous Dynamical Systems  B, 2005, 5 (3) : 861880. doi: 10.3934/dcdsb.2005.5.861 
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Yung Chung Wang, Jenn Shing Wang, Fu Hsiang Tsai. Analysis of discretetime space priority queue with fuzzy threshold. Journal of Industrial & Management Optimization, 2009, 5 (3) : 467479. doi: 10.3934/jimo.2009.5.467 
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Vladimir Răsvan. On the central stability zone for linear discretetime Hamiltonian systems. Conference Publications, 2003, 2003 (Special) : 734741. doi: 10.3934/proc.2003.2003.734 
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