Abstract：
:This paper considers complex models arising in sociobiology. These combine genetic and strategic aspects to model the effect of gene-linked strategies on the ability of individuals to survive to maturity, mate and produce offspring. Several important models considered in the literature are generalised and extended to incorporate a spatial aspect. Individuals are allowed to migrate. Contests, e.g. for food or amongst males for females, take place locally. The choice of the point at which the population structure is measured affects the complexity of the equations describing the system, although it is possible to utilise any point in the life cycle. For our spatial models the simplest approach is to measure the population structure immediately after migration. A saddle point method, developed by the authors, has previously been used to obtain results for simple discrete time spatial models. It is utilised here to obtain the speed of first spread of a new gene-linked strategy for the much more complex sociobiological models included in this paper. This demonstrates the wide-ranging applicability and power of the method.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Radcliffe J,Rass Ldoi
10.1016/s0025-5564(98)10011-1subject
Has Abstractpub_date
1998-08-01 00:00:00pages
199-218issue
2eissn
0025-5564issn
1879-3134pii
S0025556498100111journal_volume
151pub_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
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abstract：:Human solid tumors are believed to be caused by a sequence of genetic abnormalities arising in the tumor cells. The understanding of these sequences is extremely important for improving cancer treatment. Models for the occurrence of the abnormalities include linear structure and a recently proposed tree-based structur...
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journal_title：Mathematical biosciences
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journal_title：Mathematical biosciences
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journal_title：Mathematical biosciences
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doi：10.1016/j.mbs.2004.11.010
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更新日期：2019-02-01 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：2019-03-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2014.02.007
更新日期：2014-05-01 00:00:00
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pub_type： 杂志文章
doi：10.1016/j.mbs.2006.08.005
更新日期：2007-02-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/s0025-5564(00)00005-5
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abstract：:The vaccination program for pertussis (whooping cough) in the United States consists of giving multiple doses of pertussis vaccine to young children. A demographic model with a steady-state age distribution is used as a basis for building an epidemiologic model for the transmission of pertussis. This age-structured mo...
journal_title：Mathematical biosciences
pub_type： 历史文章,杂志文章
doi：10.1016/s0025-5564(97)00014-x
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journal_title：Mathematical biosciences
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journal_title：Mathematical biosciences
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更新日期：2010-09-01 00:00:00
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journal_title：Mathematical biosciences
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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/s0025-5564(00)00020-1
更新日期：2000-07-01 00:00:00
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更新日期：1994-03-01 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：2011-09-01 00:00:00
abstract：:A Gompertz-type diffusion process characterized by the presence of exogenous factors in the drift term is considered. Such a process is able to describe the dynamics of populations in which both the intrinsic rates are modified by means of time-dependent terms. In order to quantify the effect of such terms the evaluat...
journal_title：Mathematical biosciences
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更新日期：2013-09-01 00:00:00
abstract：:In automatic feedback control of intravenous drug infusions, convergence to the setpoint is an important objective. This paper examines the stability of pharmacokinetic-pharmacodynamic models of patient response regulated with proportional integral feedback. The model consists of three components: linear compartmental...
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更新日期：1997-12-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
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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
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更新日期：2018-07-01 00:00:00
