Abstract：
:Employing theoretical models, we show that the sterile insect release method (SIRM) can give rise to traveling waves of fertile insects. The velocity of these waves depends critically upon the density of sterile insects (and thus upon the rate at which sterile individuals are being released into the environment). When the sterile density is sufficiently low, the traveling wave advances, giving rise to an invasion. However, when the sterile density exceeds a critical threshold, the wave reverses direction, thereby retreating and giving rise to local extinction. Both analytical (regular perturbation) methods and numerical methods are used to determine wave velocities and wave profiles. This is the first time traveling wave solutions have been shown for the SIRM.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Lewis MA,van den Driessche Pdoi
10.1016/0025-5564(93)90067-ksubject
Has Abstractpub_date
1993-08-01 00:00:00pages
221-47issue
2eissn
0025-5564issn
1879-3134pii
0025-5564(93)90067-Kjournal_volume
116pub_type
杂志文章abstract：:In estimating mutation rates using the Luria-Delbrück experimental protocol, it is often assumed that all mutant cells survive the plating procedure to form visible mutant colonies. This assumption of perfect plating efficiency may not hold in certain circumstances, but none of the existing estimation methods that adj...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2008.09.002
更新日期：2008-12-01 00:00:00
abstract：:The article theoretically regards probability density functions (PDFs) for axial ratio (X/Y) of sectioning profiles of elliptical microvessels (MVs) arranged with anisotropy in a biological tissue volume. A technique for the PDF(X/Y) calculations in anisotropy of the elliptical MVs is described. The essence of this te...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2009.03.001
更新日期：2009-06-01 00:00:00
abstract：:Methods of phylogenetic inference use more and more complex models to generate trees from data. However, even simple models and their implications are not fully understood. Here, we investigate the two-state Markov model on a tripod tree, inferring conditions under which a given set of observations gives rise to such ...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2012.03.001
更新日期：2012-05-01 00:00:00
abstract：:We present a model governing the operation of all "isolated" sensory receptors with their primary afferent neurons. The input to the system is the intensity of a sensory signal, be it chemical, optical etc., and the output is the rate of neural impulse transmission in the afferent neuron. The model is based on the pre...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/0025-5564(94)00024-t
更新日期：1995-01-01 00:00:00
abstract：:This paper deals with a two-microbial species model in competition for a single-resource in the chemostat including general intra- and interspecific density-dependent growth rates with distinct removal rates for each species. In order to understand the effects of intra- and interspecific interference, this general mod...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2017.02.007
更新日期：2017-04-01 00:00:00
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
abstract：:In this paper, we consider an aspect of the intra-specific brood-parasitism with a mathematical modelling. As in case of moorhen Gallinula chloropus, the case dealt with in this paper in such that just a part of the whole population has the parasitising behaviour against the individuals belonging to another part of no...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/s0025-5564(98)10073-1
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/s0025-5564(02)00150-5
更新日期：2003-02-01 00:00:00
abstract：:Recent experimental data have shown that HIV-specific CD4 T cells provide a very important target for HIV replication. We use mathematical models to explore the effect of specific CD4 T cell infection on the dynamics of virus spread and immune responses. Infected CD4 T cells can provide antigen for their own stimulati...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2007.01.007
更新日期：2007-09-01 00:00:00
abstract：:The problem of testing for treatment effect when some subjects in the treatment group may be unaffected by the treatment is considered. A form of the Lehmann alternative suggested by Conover and Salsburg is used that assumes that each control score has the same distribution as the minimum of the known number of respon...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/0025-5564(92)90052-x
更新日期：1992-04-01 00:00:00
abstract：:The statistical characterization of the spatial structure of large animal groups has been very limited so far, mainly due to a lack of empirical data, especially in three dimensions (3D). Here we focus on the case of large flocks of starlings (Sturnus vulgaris) in the field. We reconstruct the 3D positions of individu...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2008.05.006
更新日期：2008-07-01 00:00:00
abstract：:The only animal of which the complete neural circuitry is known at the submicroscopical level is the nematode Caenorhabditis elegans. This anatomical knowledge is complemented by functional insight from electrophysiological experiments in the related nematode Ascaris lumbricoides, which show that Ascaris motor neurons...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/0025-5564(93)90033-7
更新日期：1993-11-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/0025-5564(91)90061-m
更新日期：1991-05-01 00:00:00
abstract：:HIF (hypoxia inducible factor) is an oxygen-regulated transcription factor that mediates the intracellular response to hypoxia in human cells. There is increasing evidence that cell signaling pathways encode temporal information, and thus cell fate may be determined by the dynamics of protein levels. We have developed...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2014.09.007
更新日期：2014-12-01 00:00:00
abstract：:In this paper, a mathematical modeling framework is presented which describes the growth, encapsulation, and transcapsular spread of solid tumors. The model is based on the physical forces and cellular interactions involved in tumorigenesis and is used to test and compare the active (foreign body hypothesis) and passi...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/s0025-5564(02)00118-9
更新日期：2002-11-01 00:00:00
abstract：:In a random walk (RW) in Z an individual starts at 0 and moves at discrete unitary steps to the right or left with respective probabilities p and 1-p. Assuming p > 1/2 and finite a, a > 1, the probability that state a will be reached before -a is Q(a, p) where Q(a, p) > p. Here we introduce the cooperative random walk...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2016.06.011
更新日期：2016-09-01 00:00:00
abstract：:Calculations of the oxygen distribution in resting and contracting skeletal muscle are presented, based on a mathematical model and experimental data obtained on the hamster cremaster muscle [Klitzman et al., Microvasc. Res. 25:108-131 (1983)]. The model considers a slab of tissue penetrated by a regular square array ...
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：:In this paper, the problem of robust stability of nonlinear genetic regulatory networks (GRNs) is investigated. The developed method is an integral sliding mode control based redesign for a class of perturbed dissipative switched GRNs with time delays. The control law is redesigned by modifying the dissipativity-based...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2016.02.006
更新日期：2016-05-01 00:00:00
abstract：:An optimal parameter selection model of cancer chemotherapy is presented which describes the treatment of a tumor over a fixed period of time by the repeated administration of a single drug. The drug is delivered at evenly spaced intervals over the treatment period at doses to be selected by the model. The model const...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/0025-5564(90)90005-j
更新日期：1990-05-01 00:00:00
abstract：:Emergency vaccination during an epidemic of classical swine fever virus (CSFV) has become a serious option because of the ethical problems of strategies with massive culling and the availability of a marker vaccine that reduces virus transmission. Here we present a model of between-herd CSFV transmission, which quanti...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2003.08.005
更新日期：2003-12-01 00:00:00
abstract：:In linear, stochastic dynamics it is shown that the quasideterministic population size is equivalent to the mean population size. The quasideterministic dynamics are defined by the conditional infinitesimal mean of the process. The stochastic component of the dynamics includes both Gaussian and Poisson white noise, wi...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/0025-5564(89)90010-2
更新日期：1989-03-01 00:00:00
abstract：:This paper investigates problems of disease prevention and epidemic control (DPEC), in which we optimize two sets of decisions: (i) vaccinating individuals and (ii) closing locations, given respective budgets with the goal of minimizing the expected number of infected individuals after intervention. The spread of dise...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2013.09.007
更新日期：2013-11-01 00:00:00
abstract：:Free access to a common pool of resource in a country may lead to over-exploitation and sacrifice future opportunities of harvesting. As such, the protection of a common fishery resource is worth investigating. In this paper we develop a two-period model and a multi-period model to analyze the optimal inter-temporal u...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2006.06.007
更新日期：2007-05-01 00:00:00
abstract：:During normal, voluntary movements, skeletal muscles typically contract in a highly dynamic manner; the length of the muscle and the speed of contraction change continuously. In this study, we present an approach to predict the accurate behavior of muscles for such dynamic contractions using Huxley's cross-bridge mode...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/s0025-5564(96)00115-0
更新日期：1997-01-01 00:00:00
abstract：:Cancer virotherapy represents a dynamical system that requires mathematical modeling for complete understanding of the outcomes. The combination of virotherapy with radiation (radiovirotherapy) has been recently shown to successfully eliminate tumors when virotherapy alone failed. However, it introduces a new level of...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2005.11.001
更新日期：2006-01-01 00:00:00
abstract：:In microarray data analysis, traditional methods that focus on single genes are increasingly replaced by methods that analyse functional units corresponding to biochemical pathways, as these are considered to offer more insight into gene expression and disease associations. However, the development of robust pipelines...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2014.09.005
更新日期：2015-02-01 00:00:00
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journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2016.11.004
更新日期：2017-02-01 00:00:00
abstract：:Closure operations are a useful device in both the theory and practice of tree reconstruction in biology and other areas of classification. These operations take a collection of trees (rooted or unrooted) that classify overlapping sets of objects at their leaves, and infer further tree-like relationships. In this pape...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2006.11.005
更新日期：2007-08-01 00:00:00
abstract：:Most multipopulation epidemic models are of the contact distribution type, in which the locations of successive contacts are chosen independently from appropriate contact distributions. This paper is concerned with an alternative class of models, termed dynamic population epidemic models, in which infectives move amon...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/0025-5564(91)90011-7
更新日期：1991-12-01 00:00:00
abstract：:The introduction of endosymbiont Wolbachia into laboratory-reared mosquito populations, which are then released to mix with natural populations to prevent the mosquito vectors from reproducing and thus break the transmission cycle of dengue disease, is an innovative new technology. Field trials of Wolbachia-carrying m...
journal_title：Mathematical biosciences
pub_type： 杂志文章
doi：10.1016/j.mbs.2018.03.003
更新日期：2018-05-01 00:00:00
