Abstract：
:We consider a population with two types of individuals: those who engage in risky sexual behavior (the core) and those who do not (the majority). We are interested in the situation where the majority would not be able to sustain an epidemic without the presence of a core. We show that even if the core is randomly spread out in the general population and is very infectious there will be no epidemic if the proportion of individuals in the core is below a certain threshold (that depends on the infection rates). Risky behavior does put the whole population at risk but only if the behavior is widespread enough. This gives support to the idea of concentrating resources to fight sexually transmitted diseases on the core group in order to lower the proportion of individuals in the core. We show our results for two models: one with total mixing and the other with limited mixing.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Schinazi RBdoi
10.1016/s0025-5564(01)00071-2subject
Has Abstractpub_date
2001-09-01 00:00:00pages
25-33issue
1eissn
0025-5564issn
1879-3134pii
S0025-5564(01)00071-2journal_volume
173pub_type
杂志文章abstract：:The aim of this paper is to develop a minimal model describing events leading to the onset of Parkinson's disease (PD). The model accounts for α-synuclein (α-syn) production in the soma, transport toward the synapse, misfolding, and aggregation. The production and aggregation of polymeric α-syn is simulated using a mi...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2016.05.002
更新日期：2016-08-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2016.03.016
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journal_title：Mathematical biosciences
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doi：10.1016/j.mbs.2005.03.008
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journal_title：Mathematical biosciences
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doi：10.1016/0025-5564(89)90054-0
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/0025-5564(92)90054-z
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/s0025-5564(98)00008-x
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journal_title：Mathematical biosciences
pub_type： 杂志文章
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journal_title：Mathematical biosciences
pub_type： 杂志文章
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journal_title：Mathematical biosciences
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journal_title：Mathematical biosciences
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更新日期：2007-08-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/0025-5564(95)00172-7
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/0025-5564(92)90079-c
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2006.08.024
更新日期：2007-06-01 00:00:00
abstract：:Half-sib, first cousin, half nth cousin, and nth cousin mating systems are robust in that small deviations from the mating structure will not significantly alter the levels of genetic identity or effect qualitative distinctions between the models. Substitution of nearest kin in matings may either increase or decrease ...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/0025-5564(91)90026-f
更新日期：1991-04-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2005.12.016
更新日期：2006-05-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章,评审
doi：10.1016/j.mbs.2011.08.006
更新日期：2011-12-01 00:00:00
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journal_title：Mathematical biosciences
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abstract：:In 1992, Watts and May introduced a simple dynamical systems model of the spread of HIV based on disease transmission per partnership including the length of partnership duration. This model allowed for the treatment of concurrent partnerships, although it was hampered by the assumption of an important latent phase wh...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2016.09.009
更新日期：2016-12-01 00:00:00
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journal_title：Mathematical biosciences
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doi：10.1016/j.mbs.2003.11.004
更新日期：2004-02-01 00:00:00
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journal_title：Mathematical biosciences
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doi：10.1016/j.mbs.2006.05.003
更新日期：2007-09-01 00:00:00
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journal_title：Mathematical biosciences
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doi：10.1016/j.mbs.2016.02.013
更新日期：2016-05-01 00:00:00
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journal_title：Mathematical biosciences
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/s0025-5564(02)00096-2
更新日期：2002-07-01 00:00:00
abstract：:This paper considers the geometry of plants with golden spiral phyllotaxis, i.e. growing leaf by leaf on a spiral with golden divergence angle, via the simplest mathematical model, a cylinder with regular arrangement of points on its surface. As is well-known, Fibonacci numbers appear by means of the order of parastic...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2018.05.003
更新日期：2018-07-01 00:00:00
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journal_title：Mathematical biosciences
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doi：10.1016/j.mbs.2003.08.012
更新日期：2004-03-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
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更新日期：2013-08-01 00:00:00
abstract：:In a previous paper we studied the spread of excitation in a simplified model of the left ventricle, affected by fiber structure and obliqueness, curvature of the wall and Purkinje network. In the present paper we investigate the extracellular potential distribution u in the same ventricular model. Given the transmemb...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/s0025-5564(98)10004-4
更新日期：1998-07-01 00:00:00
abstract：:A three-dimensional diffusion model with either hexagonal or cylindrical symmetry has been constructed to simulate desorption profiles of hydrophilic chemicals from the topmost layer of human skin (the stratum corneum) as measured in ex vivo studies. The tissue is pierced by skin appendages - sweat glands and hair fol...
journal_title：Mathematical biosciences
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更新日期：2018-06-01 00:00:00
abstract：:A multicompartmental model is proposed to deal with the spread of the HIV epidemic. Stratification with respect to high- and low-risk groups is taken into account, introducing a "fuzzy" decomposition of the compartment of susceptibles. The infectivity period is staged using different levels of CD4 cell counts. Asympto...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/0025-5564(91)90021-a
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abstract：:An extended version of Birnbaum-Saunders distribution with five parameters is introduced. Theoretical aspects of five-parameter Birnbaum-Saunders distribution and the maximum likelihood estimation of parameters are presented. The reliability and applicability of the proposed distribution is evaluated using both simula...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2019.108275
更新日期：2020-01-01 00:00:00
