Generalised probability mass function for the final epidemic size of an SIR model on a line of triangles network.

abstract：:In this paper we study the dynamics of two competing species when one of them is subject to a disease. In order to keep the model simple, we present it under the strong assumption that the disease cannot cross the species barrier. We answer several important questions about the long term behavior of the environment. I...

journal_title：Mathematical biosciences

authors： Venturino E

更新日期：2001-12-01 00:00:00

abstract：:The results of recent experimental and epidemiological studies provide evidence on the connection between carcinogenesis, cancer progression, and aging. Existing models, however, are traditionally focused only on one of these aspects of health deterioration. In this paper, we derive a new model of cancer, which descri...

journal_title：Mathematical biosciences

authors： Yashin AI,Akushevich I,Arbeev K,Akushevich L,Kulminski A,Ukraintseva S

更新日期：2009-04-01 00:00:00

abstract：:The existence of cooperation in this world is a mysterious phenomenon. One of the mechanisms that explain the evolution of cooperation is repeated interaction. If interactions between the same individuals repeat and individuals cooperate conditionally, cooperation can evolve. A previous study pointed out that if indiv...

journal_title：Mathematical biosciences

authors： Kurokawa S

更新日期：2017-07-01 00:00:00

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：:The authors determine the time-dependent ligand current into a spherical cell that is covered with a large number of age-dependent receptors. These receptors can be in either of two states: active (i.e., available for ligand binding) or inactive. An active receptor turns inactive upon binding a ligand, and it can reap...

journal_title：Mathematical biosciences

authors： Geurts BJ,Wiegel FW

更新日期：1990-03-01 00:00:00

abstract：:We investigate a mathematical model of tumor-immune interactions with chemotherapy, and strategies for optimally administering treatment. In this paper we analyze the dynamics of this model, characterize the optimal controls related to drug therapy, and discuss numerical results of the optimal strategies. The form of ...

journal_title：Mathematical biosciences

authors： de Pillis LG,Gu W,Fister KR,Head T,Maples K,Murugan A,Neal T,Yoshida K

更新日期：2007-09-01 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：:When comparing the performance of a stochastic model of an epidemic at two points in a parameter space, a threshold is said to have been crossed when at one point an epidemic develops with positive probability; while at the other there is a tendency for an epidemic to become extinct. The approach used to find threshol...

journal_title：Mathematical biosciences

authors： Gallop RJ,Mode CJ,Sleeman CK

更新日期：2002-05-01 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...

journal_title：Mathematical biosciences

authors： Wada DR

更新日期：1997-12-01 00:00:00

abstract：:We present an axiomatic approach for multilocus informativeness measures for determining the amount of information that a set of polymorphic genetic markers provides about individual ancestry. We then reveal several surprising properties of a decision-theoretic based measure that is consistent with the set of proposed...

journal_title：Mathematical biosciences

authors： Tal O,Tran TD

更新日期：2018-12-01 00:00:00

abstract：:A simple model of Freeman and Johnson on cutaneous mechanoreceptors is modified by introducing mechanisms for hyperexcitation and refractoriness. These lead to significant improvements in the match between the neural and model data. ...

journal_title：Mathematical biosciences

authors： Slavík P,Bell J

更新日期：1995-11-01 00:00:00

abstract：:A mechanistic model of the Fitzhugh-Nagumo type is proposed for the pulse-like jasmonate response in plants. The model is composed of a bistable signaling pathway coupled to a negative feedback loop. The bistable signaling pathway describes a recently discovered positive feedback loop involving jasmonate and the MYC2 ...

journal_title：Mathematical biosciences

authors： Chiangga S,Pornkaveerat W,Frank TD

更新日期：2016-03-01 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

authors： Zhang X,Tang S,Liu Q,Cheke RA,Zhu H

更新日期：2018-05-01 00:00:00

abstract：:Two-dimensional pioneer-climax models of competing species differential equations are introduced and examined. The per capita growth rates are functions of weighted densities of the individual species. Constant rate forcing is added representing stocking or harvesting. The ensuring stability properties of interior equ...

journal_title：Mathematical biosciences

authors： Sumner S

更新日期：1996-10-01 00:00:00

abstract：:An integrated methodology is developed for the theoretical analysis of solute transport and reaction in cellular biological media, such as tissues, microbial flocs, and biofilms. First, the method of local spatial averaging with a weight function is used to establish the equation which describes solute conservation at...

journal_title：Mathematical biosciences

authors： Kapellos GE,Alexiou TS,Payatakes AC

更新日期：2007-11-01 00:00:00

abstract：:The goal of this study is to uncover some unobservable aspects of the individual-patient natural history of metastatic renal cell carcinoma (RCC) through mathematical modeling. We analyzed four clear cell RCC patients who at the time of primary tumor resection already had pulmonary metastases. Our description of the n...

journal_title：Mathematical biosciences

authors： Hanin L,Jandrig B,Pavlova L,Seidel K

更新日期：2019-03-01 00:00:00

abstract：:A grazing population dynamics model is proposed where organisms in a grazed population have a fixed life span. The motivating context is that of ruminants grazing grass-dominant pasture. The model takes the form of a differential-delay equation in which the rate of loss of pasture due to senescence at some time depend...

journal_title：Mathematical biosciences

authors： Woodward SJ,Wake GC

更新日期：1994-05-01 00:00:00

abstract：:This paper investigates the effects of vaccination on the dynamics of infectious disease, which is spreading in a population concurrently with awareness. The model considers contributions to the overall awareness from a global information campaign, direct contacts between unaware and aware individuals, and reported ca...

journal_title：Mathematical biosciences

authors： Agaba GO,Kyrychko YN,Blyuss KB

更新日期：2017-12-01 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：: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

authors： Wu JZ,Herzog W,Cole GK

更新日期：1997-01-01 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

authors： Ball FG

更新日期：1991-12-01 00:00:00

abstract：:Threshold parameters of epidemic models play a central role in the assessment of proposed control strategies for infectious diseases. They have been determined for numerous standard epidemic models. This paper points out, with several examples, that threshold parameters depend on the social setting of the community an...

journal_title：Mathematical biosciences

authors： Becker NG,Bahrampour A,Dietz K

更新日期：1995-10-01 00:00:00

abstract：:Aptamer-protein interacting pairs play important roles in physiological functions and structural characterization. Identifying aptamer-protein interacting pairs is challenging and limited, despite of the tremendous applications of aptamers. Therefore, it is vital to construct a high prediction performance model for id...

journal_title：Mathematical biosciences

authors： Yang Q,Jia C,Li T

更新日期：2019-05-01 00:00:00

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

authors： Hethcote HW

更新日期：1997-10-15 00:00:00

abstract：:We consider a host-parasitoid system with individuals moving on a square grid of patches. We study the effects of increasing movement frequency of hosts and parasitoids on the spatial dynamics of the system. We show that there exists a threshold value of movement frequency above which spatial synchrony occurs and the ...

journal_title：Mathematical biosciences

authors： Nguyen-Huu T,Lett C,Auger P,Poggiale JC

更新日期：2006-10-01 00:00:00

abstract：:Many important results in stochastic epidemic modelling are based on the Reed-Frost model or on other similar models that are characterised by unrealistic temporal dynamics. Nevertheless, they can be extended to many other more realistic models thanks to an argument first provided by Ludwig [Final size distributions f...

journal_title：Mathematical biosciences

authors： Pellis L,Ferguson NM,Fraser C

更新日期：2008-11-01 00:00:00

abstract：:The transmission dynamics of a communicable disease in a subdivided population where the spread among groups follows the proportionate mixing model while the within-group transmission can correspond to preferred mixing, proportionate mixing among subgroups, or mixing between social and nonsocial subgroups, is analyzed...

journal_title：Mathematical biosciences

authors： Andreasen V,Christiansen FB

更新日期：1989-10-01 00:00:00

abstract：:A fundamental problem in reconstructing the evolutionary history of a set of species is to infer the topology of the evolutionary tree that relates those species. A statistical method for estimating such a topology from character data is called consistent if, given data from more and more characters, the method is sur...

journal_title：Mathematical biosciences

authors： Chang JT

更新日期：1996-06-01 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：:Bacterial biofilms are complex microbial depositions on immersed interfaces that form wherever the environmental conditions sustain microbial growth. Despite their name, biofilms can develop in highly irregular structures. Recently several mathematical concepts have been introduced to model these spatially structured ...

journal_title：Mathematical biosciences

authors： Muhammad N,Eberl HJ

更新日期：2011-09-01 00:00:00