Equilibrium distributions and simulation methods for age structured populations.

abstract：:Under the influence of human population distribution, the boyciana-fish ecological system is considered. First, the system can be described as a nonlinear partial differential algebraic equations system (PDAEs) with Neumann boundary conditions and ratio-dependent functional response. Second, we examine the system's pe...

journal_title：Mathematical biosciences

authors： Jiang Y,Zhang Q,Wang H

更新日期：2016-07-01 00:00:00

abstract：:This study is a theoretical excursion into gravity models and their usability in evaluating importance of spatial structure and population development for the spread of colonizing organisms. A so called "gravity score" for sites is deduced, and such a score could be used for predicting risk of colonization once one si...

journal_title：Mathematical biosciences

authors： Järemo J

更新日期：2009-11-01 00:00:00

abstract：:Statistical consistency in phylogenetics has traditionally referred to the accuracy of estimating phylogenetic parameters for a fixed number of species as we increase the number of characters. However, it is also useful to consider a dual type of statistical consistency where we increase the number of species, rather ...

journal_title：Mathematical biosciences

authors： Gascuel O,Steel M

更新日期：2010-10-01 00:00:00

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

authors： Wang CY,Bassingthwaighte JB

更新日期：1997-06-01 00:00:00

abstract：:To control emerging infectious diseases like SARS, it is necessary to resort to basic control measures that limit exposures to infectious individuals. These measures include isolating cases at diagnosis, quarantining household members and tracing contacts of diagnosed cases, providing the community with advice on how ...

journal_title：Mathematical biosciences

authors： Becker NG,Glass K,Li Z,Aldis GK

更新日期：2005-02-01 00:00:00

abstract：:A key feature of cell migration is how cell movement is affected by cell-cell interactions. Furthermore, many cell migratory processes such as neural crest stem cell migration [Thomas and Erickson, 2008; McLennan et al., 2012] occur on growing domains or in the presence of a chemoattractant. Therefore, it is important...

journal_title：Mathematical biosciences

authors： Ross RJ,Yates CA,Baker RE

更新日期：2015-06-01 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

authors： Dingli D,Cascino MD,Josić K,Russell SJ,Bajzer Z

更新日期：2006-01-01 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

authors： Gurski KF,Hoffman KA

更新日期：2016-12-01 00:00:00

abstract：:In this paper, we first propose a prey-predator model with prey-stage structure and diffusion. Then we discuss the following three problems: (1) stability of non-negative constant steady states for the reduced ODE system and the corresponding reaction diffusion system with homogeneous Neumann boundary conditions; (2) ...

journal_title：Mathematical biosciences

authors： Wang M

更新日期：2008-04-01 00:00:00

abstract：:Some global dynamical properties of catalytic networks, in particular permanence, are closely related with a directed graph representing the differential equation. It can be shown that for every directed graph with a Hamiltonian circuit there is a choice of rate constants such that the system is permanent. On the othe...

journal_title：Mathematical biosciences

authors： Stadler PF,Schuster P

更新日期：1996-01-15 00:00:00

abstract：:For a wide range of airborne infectious diseases, transmission within the family or household is a key mechanism for the spread and persistence of infection. In general, household-based transmission is relatively strong but only involves a limited number of individuals in contact with each infectious person. In contra...

journal_title：Mathematical biosciences

authors： House T,Keeling MJ

更新日期：2008-05-01 00:00:00

abstract：:The coffee berry borer (CBB, Hypothenemus hampei) is the most serious insect pest of coffee worldwide; understanding the dynamics of its reproduction is essential for pest management. The female CBB penetrates the coffee berry, eats the seed, and reproduces inside it. A mathematical model of the infestation progress o...

journal_title：Mathematical biosciences

authors： Marcano M,Bose A,Bayman P

更新日期：2021-01-21 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

authors： Grünewald S,Steel M,Swenson MS

更新日期：2007-08-01 00:00:00

abstract：:The Yule process generates a class of binary trees which is fundamental to population genetic models and other applications in evolutionary biology. In this paper, we introduce a family of sub-classes of ranked trees, called Ω-trees, which are characterized by imbalance of internal nodes. The degree of imbalance is de...

journal_title：Mathematical biosciences

authors： Disanto F,Schlizio A,Wiehe T

更新日期：2013-11-01 00:00:00

abstract：:Cooperating behaviors abound across all domains of life, but are vulnerable to invasion by cheaters. An important evolutionary question is to determine mechanisms that stabilize and maintain cooperation levels and prevent population collapse. Policing is one strategy populations may employ to achieve this goal, and it...

journal_title：Mathematical biosciences

authors： Lynn BK,De Leenheer P

更新日期：2019-10-01 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

authors： Rossi C

更新日期：1991-12-01 00:00:00

abstract：:There is often large variation in traits across the species of a community. In particular, variation in life history traits affecting population dynamics is likely to affect the species abundance distribution. Applying a dynamic and heterogeneous species abundance model we study how differences in extinction time for ...

journal_title：Mathematical biosciences

authors： Engen S

更新日期：2007-12-01 00:00:00

abstract：:Parallel numerical simulations of excitation and recovery in three-dimensional myocardial domains are presented. The simulations are based on the anisotropic Bidomain and Monodomain models, including intramural fiber rotation and orthotropic or axisymmetric anisotropy of the intra- and extra-cellular conductivity tens...

journal_title：Mathematical biosciences

authors： Colli Franzone P,Pavarino LF,Taccardi B

更新日期：2005-09-01 00:00:00

abstract：:An optimal input of nutrients into the metabolic process of the individual subject so as to effect desired therapeutic results is particularly important for the critically ill. A patient-related, individualized nutrients optimization procedure is proposed here. The procedure is applicable to any time-invariant and det...

journal_title：Mathematical biosciences

authors： Giladi R,Sideman S

更新日期：1989-12-01 00:00:00

abstract：:An inherent problem in studying the behavior of a metabolic pathway is the impossibility of developing a complete, detailed model that includes all the cellular processes that have an impact on the set of fluxes in such a pathway. Lacking this, one requires some means of modeling the interactions between a metabolic p...

journal_title：Mathematical biosciences

authors： Schlosser PM,Bailey JE

更新日期：1990-06-01 00:00:00

abstract：:In the present paper we have first introduced a measure of dynamical entropy of an ecosystem on the basis of the dynamical model of the system. The dynamical entropy which depends on the eigenvalues of the community matrix of the system leads to a consistent measure of complexity of the ecosystem to characterize the d...

journal_title：Mathematical biosciences

authors： Chakrabarti CG,Ghosh K

更新日期：2013-10-01 00:00:00

abstract：:A mathematical model of oxygen (O2) transport within a capillary utilizes axisymmetric red blood cell (RBC) shapes that were predicted theoretically by Zarda et al. in 1977. Chemical kinetics and both free and facilitated diffusion of O2 are accounted for in this time-dependent model. The finite-element method is used...

journal_title：Mathematical biosciences

authors： Wang CH,Popel AS

更新日期：1993-07-01 00:00:00

abstract：:The acetone-butanol (AB) fermentation process in the anaerobic endospore-forming Gram-positive bacterium Clostridium acetobutylicum is useful as a producer of biofuels, particularly butanol. Recent work has concentrated on trying to improve the efficiency of the fermentation method, either through changes in the envir...

journal_title：Mathematical biosciences

authors： Thorn GJ,King JR,Jabbari S

更新日期：2013-02-01 00:00:00

abstract：:On the basis of this study, it is concluded that within physiological limits the minimum value for the mean capture time of LDL receptors by coated pits must be induced fundamentally by an optimal characterization of their insertion rate function. The corresponding steady-state surface aggregation patterns for the unb...

journal_title：Mathematical biosciences

authors： Echavarría-Heras H

更新日期：1999-11-01 00:00:00

abstract：:This paper describes an efficient method for tracing interactions between a radiation track and molecular targets in a cell or nucleus. The method is efficient because it ensures that a minimal subset of interactions in the track needs to be tested for each score. It is most useful for high-energy particles since the ...

journal_title：Mathematical biosciences

authors： Fitzsimons CJ,Nikjoo H,Bolton CE,Goodhead DT

更新日期：1998-12-15 00:00:00

abstract：:The search for systematic methods to deal with the integrated behavior of complex biochemical systems has over the past two decades led to the proposal of several theories of biochemical systems. Among the most promising is biochemical systems theory (BST). Recent comparisons of this theory with several others that ha...

journal_title：Mathematical biosciences

authors： Sorribas A,Savageau MA

更新日期：1989-06-01 00:00:00

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

authors： Zheng Q

更新日期：2008-12-01 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

authors： Chen CC,Hsui CY

更新日期：2007-05-01 00:00:00

abstract：:Invariants are functions of the probabilities of state configurations among lineages, with expected values equal to zero under certain phylogenies. For two-state sequences, the existence of certain quadratic invariants requires a symmetric substitution model. For sequences with more than two states, the necessary cond...

journal_title：Mathematical biosciences

authors： Fu YX,Li WH

更新日期：1991-07-01 00:00:00

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

authors： Hassani H,Kalantari M,Entezarian MR

更新日期：2020-01-01 00:00:00