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Global asymptotic dynamics of a model for quarantine and isolation
1.  Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, R3T 2N2, Canada, Canada 
[1] 
Z. Feng. Final and peak epidemic sizes for SEIR models with quarantine and isolation. Mathematical Biosciences & Engineering, 2007, 4 (4) : 675686. doi: 10.3934/mbe.2007.4.675 
[2] 
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 
[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] 
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 
[5] 
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 
[6] 
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 
[7] 
PaweŁ Hitczenko, Georgi S. Medvedev. Stability of equilibria of randomly perturbed maps. Discrete & Continuous Dynamical Systems  B, 2017, 22 (2) : 369381. doi: 10.3934/dcdsb.2017017 
[8] 
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 
[9] 
Frederic LaurentPolz, James Montaldi, Mark Roberts. Point vortices on the sphere: Stability of symmetric relative equilibria. Journal of Geometric Mechanics, 2011, 3 (4) : 439486. doi: 10.3934/jgm.2011.3.439 
[10] 
Paul Georgescu, Hong Zhang, Daniel Maxin. The global stability of coexisting equilibria for three models of mutualism. Mathematical Biosciences & Engineering, 2016, 13 (1) : 101118. doi: 10.3934/mbe.2016.13.101 
[11] 
Anna Ghazaryan, Christopher K. R. T. Jones. On the stability of high Lewis number combustion fronts. Discrete & Continuous Dynamical Systems  A, 2009, 24 (3) : 809826. doi: 10.3934/dcds.2009.24.809 
[12] 
Sílvia Cuadrado. Stability of equilibria of a predatorprey model of phenotype evolution. Mathematical Biosciences & Engineering, 2009, 6 (4) : 701718. doi: 10.3934/mbe.2009.6.701 
[13] 
Lyudmila Grigoryeva, JuanPablo Ortega, Stanislav S. Zub. Stability of Hamiltonian relative equilibria in symmetric magnetically confined rigid bodies. Journal of Geometric Mechanics, 2014, 6 (3) : 373415. doi: 10.3934/jgm.2014.6.373 
[14] 
Shangbing Ai. Global stability of equilibria in a tickborne disease model. Mathematical Biosciences & Engineering, 2007, 4 (4) : 567572. doi: 10.3934/mbe.2007.4.567 
[15] 
Elbaz I. Abouelmagd, Juan L. G. Guirao, Aatef Hobiny, Faris Alzahrani. Stability of equilibria points for a dumbbell satellite when the central body is oblate spheroid. Discrete & Continuous Dynamical Systems  S, 2015, 8 (6) : 10471054. doi: 10.3934/dcdss.2015.8.1047 
[16] 
William H. Sandholm. Local stability of strict equilibria under evolutionary game dynamics. Journal of Dynamics & Games, 2014, 1 (3) : 485495. doi: 10.3934/jdg.2014.1.485 
[17] 
Yacine Chitour, Frédéric Grognard, Georges Bastin. Equilibria and stability analysis of a branched metabolic network with feedback inhibition. Networks & Heterogeneous Media, 2006, 1 (1) : 219239. doi: 10.3934/nhm.2006.1.219 
[18] 
Sabri Bensid, Jesús Ildefonso Díaz. On the exact number of monotone solutions of a simplified Budyko climate model and their different stability. Discrete & Continuous Dynamical Systems  B, 2019, 24 (3) : 10331047. doi: 10.3934/dcdsb.2019005 
[19] 
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 
[20] 
Anuj Mubayi, Christopher Kribs Zaleta, Maia Martcheva, Carlos CastilloChávez. A costbased comparison of quarantine strategies for new emerging diseases. Mathematical Biosciences & Engineering, 2010, 7 (3) : 687717. doi: 10.3934/mbe.2010.7.687 
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