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1.

A vaccination model for a multi-city system.

Lachiany M, Stone L.

Bull Math Biol. 2012 Oct;74(10):2474-87. doi: 10.1007/s11538-012-9762-9. Epub 2012 Aug 18.

PMID:
22903326
2.

Stability properties of pulse vaccination strategy in SEIR epidemic model.

d'Onofrio A.

Math Biosci. 2002 Jul-Aug;179(1):57-72.

PMID:
12047921
3.

SVIR epidemic models with vaccination strategies.

Liu X, Takeuchi Y, Iwami S.

J Theor Biol. 2008 Jul 7;253(1):1-11. Epub 2007 Oct 18.

PMID:
18023819
4.

An SIRVS epidemic model with pulse vaccination strategy.

Zhang T, Teng Z.

J Theor Biol. 2008 Jan 21;250(2):375-81. Epub 2007 Nov 7.

PMID:
17988692
5.

The critical vaccination fraction for heterogeneous epidemic models.

Hill AN, Longini IM Jr.

Math Biosci. 2003 Jan;181(1):85-106.

PMID:
12421553
6.

Dynamics of a multigroup epidemiological model with group-targeted vaccination strategies.

Chow L, Fan M, Feng Z.

J Theor Biol. 2011 Dec 21;291:56-64. doi: 10.1016/j.jtbi.2011.09.020. Epub 2011 Sep 21.

PMID:
21945582
7.

Pulse vaccination strategies in a metapopulation SIR model.

Terry AJ.

Math Biosci Eng. 2010 Apr;7(2):455-77. doi: 10.3934/mbe.2010.7.455.

PMID:
20462299
8.

Impulsive vaccination of an SEIRS model with time delay and varying total population size.

Gao S, Chen L, Teng Z.

Bull Math Biol. 2007 Feb;69(2):731-45. Epub 2006 Aug 11.

PMID:
16902851
9.

An SIS patch model with variable transmission coefficients.

Gao D, Ruan S.

Math Biosci. 2011 Aug;232(2):110-5. doi: 10.1016/j.mbs.2011.05.001. Epub 2011 May 18.

PMID:
21619886
10.

Dynamics of an epidemic model with non-local infections for diseases with latency over a patchy environment.

Li J, Zou X.

J Math Biol. 2010 May;60(5):645-86. doi: 10.1007/s00285-009-0280-9. Epub 2009 Jul 1.

PMID:
19568751
11.

Infection, reinfection, and vaccination under suboptimal immune protection: epidemiological perspectives.

Gomes MG, White LJ, Medley GF.

J Theor Biol. 2004 Jun 21;228(4):539-49.

PMID:
15178201
12.

Finding optimal vaccination strategies under parameter uncertainty using stochastic programming.

Tanner MW, Sattenspiel L, Ntaimo L.

Math Biosci. 2008 Oct;215(2):144-51. doi: 10.1016/j.mbs.2008.07.006. Epub 2008 Jul 24.

PMID:
18700149
13.

Rational exemption to vaccination for non-fatal SIS diseases: globally stable and oscillatory endemicity.

Buonomo B, D'Onofrio A, Lacitignola D.

Math Biosci Eng. 2010 Jul;7(3):561-78. doi: 10.3934/mbe.2010.7.561.

PMID:
20578786
14.

[Travel in a smaller world].

Battegay M, Manns MP.

Internist (Berl). 2004 Jun;45(6):639-40. German. No abstract available.

PMID:
15107985
15.

Modeling epidemics dynamics on heterogenous networks.

Ben-Zion Y, Cohen Y, Shnerb NM.

J Theor Biol. 2010 May 21;264(2):197-204. doi: 10.1016/j.jtbi.2010.01.029. Epub 2010 Feb 1.

PMID:
20117115
16.

Global stability of an SIR epidemic model with information dependent vaccination.

Buonomo B, D'Onofrio A, Lacitignola D.

Math Biosci. 2008 Nov;216(1):9-16. doi: 10.1016/j.mbs.2008.07.011.

PMID:
18725233
17.

Dynamics of an SIS reaction-diffusion epidemic model for disease transmission.

Huang W, Han M, Liu K.

Math Biosci Eng. 2010 Jan;7(1):51-66. doi: 10.3934/mbe.2010.7.51.

PMID:
20104948
18.

On vaccine efficacy and reproduction numbers.

Farrington CP.

Math Biosci. 2003 Sep;185(1):89-109.

PMID:
12900143
19.

Optimal treatment of an SIR epidemic model with time delay.

Zaman G, Kang YH, Jung IH.

Biosystems. 2009 Oct;98(1):43-50. doi: 10.1016/j.biosystems.2009.05.006. Epub 2009 May 21.

PMID:
19464340
20.

Community interventions and the epidemic prevention potential.

Halloran ME, Longini IM, Cowart DM, Nizam A.

Vaccine. 2002 Sep 10;20(27-28):3254-62.

PMID:
12213394
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