Abstract：
:In this article we elaborate on the structure of the generalized Lotka-Volterra (GLV) form for nonlinear differential equations. We discuss here the algebraic properties of the GLV family, such as the invariance under quasimonomial transformations and the underlying structure of classes of equivalence. Each class possesses a unique representative under the classical quadratic Lotka-Volterra form. We show how other standard modeling forms of biological interest, such as S-systems or mass-action systems, are naturally embedded into the GLV form, which thus provides a formal framework for their comparison and for the establishment of transformation rules. We also focus on the issue of recasting of general nonlinear systems into the GLV format. We present a procedure for doing so and point at possible sources of ambiguity that could make the resulting Lotka-Volterra system dependent on the path followed. We then provide some general theorems that define the operational and algorithmic framework in which this is not the case.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Hernández-Bermejo B,Fairén Vdoi
10.1016/s0025-5564(96)00131-9subject
Has Abstractpub_date
1997-02-01 00:00:00pages
1-32issue
1eissn
0025-5564issn
1879-3134pii
S0025556496001319journal_volume
140pub_type
杂志文章abstract：:A new biological growth model is introduced. After random selection of possible growth sites, cells are added in an allowable random direction. Unlike the Eden model, the current model is grid independent and can be adapted to any curved surface. Growths of colonies of as many as 10(5) cells are simulated on planar, c...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/s0025-5564(97)00012-6
更新日期：1997-06-01 00:00:00
abstract：:A mathematical analysis of the stability in human respiration, based on the tau-decomposition method, is conducted on a simple, but realistic CO2 model of the respiratory system. This model incorporates a two-compartment representation (lungs and tissues) for the plant and a very general class of controller. By derivi...
journal_title：Mathematical biosciences
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doi：10.1016/s0025-5564(98)10028-7
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journal_title：Mathematical biosciences
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doi：10.1016/s0025-5564(98)10063-9
更新日期：1999-03-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2016.08.005
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2013.10.008
更新日期：2014-01-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2018.10.011
更新日期：2018-12-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2007.08.008
更新日期：2008-04-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2007.10.005
更新日期：2008-01-01 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：2018-05-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2013.08.008
更新日期：2013-11-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2011.03.003
更新日期：2011-06-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2017.11.014
更新日期：2018-02-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2017.09.007
更新日期：2017-12-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2013.12.011
更新日期：2014-02-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2009.08.008
更新日期：2009-11-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2010.02.005
更新日期：2010-06-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
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
doi：10.1016/j.mbs.2018.05.003
更新日期：2018-07-01 00:00:00
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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
pub_type： 杂志文章
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更新日期：1989-03-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2011.03.010
更新日期：2011-07-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2014.12.009
更新日期：2015-04-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2014.06.017
更新日期：2014-11-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2006.10.001
更新日期：2007-06-01 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：1990-11-01 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：2003-01-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/0025-5564(86)90164-1
更新日期：1986-09-01 00:00:00
abstract：:An important factor in the dynamic transmission of HIV is the mobility of the population. We formulate various stochastic models for the spread of HIV in a heterosexual mobile population, under the assumptions of constant and varying population sizes. We also derive deterministic and diffusion analogues for these mode...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2006.09.024
更新日期：2007-07-01 00:00:00
