Abstract:
:The interrelationship between pathogen infection and host mobility is of great importance for successful spread of disease in spatial pest population. As spread of infection depends on horizontal transmission of pathogen, there are numerous factors like susceptibility, latent period, host movement that influence overall effectiveness of the control policy. Initiation of new infection cycle depends on density of infected inoculum in the site. So, spatial movement of infected hosts during the course of infection influence the dynamics. Also, infected individuals are more vulnerable to predators and hence production of virus particles in the site depends on predation to some extent. We derive a four dimensional delayed reaction-diffusion model in one spatial dimension and compute the minimum travelling speed of transmission of infection. We show that the minimum speed is sensitive to several parameters of the system. For example, the minimum speed decreases only with increase in delay in lysis process, but otherwise it increases with increase in force of infection, diffusivity of infectives or per capita virus production. A concluding discussion with numerical simulation is presented in the end.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Ghosh S,Bhattacharyya Sdoi
10.1016/j.mbs.2013.03.009subject
Has Abstractpub_date
2013-07-01 00:00:00pages
13-21issue
1eissn
0025-5564issn
1879-3134pii
S0025-5564(13)00081-3journal_volume
244pub_type
杂志文章abstract::The electronic structure of DNA is theoretically investigated by use of the coherent potential approximation. Even when the sequence of the four kinds of bases is nonperiodic, guanine block forms the persistent highest valence band edge, and adenine block forms the persistent lowest conduction band edge state. Accordi...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/0025-5564(94)00118-5
更新日期:1995-12-01 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
pub_type: 杂志文章
doi:10.1016/j.mbs.2011.05.006
更新日期:2011-09-01 00:00:00
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...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/s0025-5564(02)00086-x
更新日期:2002-04-01 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::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 this work, we derive and analyze a 2n+1-dimensional deterministic differential equation modeling the transmission and treatment of HIV (Human Immunodeficiency Virus) disease. The model is extended to a stochastic differential equation by introducing noise in the transmission rate of the disease. A theoretical treat...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2018.03.013
更新日期:2018-05-01 00:00:00
abstract::A number of recent research studies have focused on theoretical and experimental investigation of a bottleneck in a metabolic reaction network. However, there is no study on how the bottleneck affects the performance of a fermentation process when a product is highly toxic and remarkably influences the growth and deat...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2010.08.001
更新日期:2010-11-01 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
pub_type: 杂志文章
doi:10.1016/0025-5564(94)00083-c
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
pub_type: 杂志文章
doi:10.1016/j.mbs.2016.01.001
更新日期:2016-03-01 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::A novel multi-input single output (MISO) black-box sigmoid model is developed to simulate the biosorption of heavy metal cations by the fission yeast from aqueous medium. Validation and verification of the model is done through statistical chi-squared hypothesis tests and the model is evaluated by uncertainty and sens...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2015.04.007
更新日期:2015-07-01 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
pub_type: 杂志文章
doi:10.1016/0025-5564(90)90049-5
更新日期:1990-06-01 00:00:00
abstract::Multi-patch models - also known as metapopulation models - provide a simple framework within which the role of spatial processes in disease transmission can be examined. An n-patch model which distinguishes between k different classes of individuals is considered. The linear stability of spatially homogeneous solution...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2003.09.003
更新日期:2004-03-01 00:00:00
abstract::The two methods available for analyzing the global structural identifiability of the parameters of a nonlinear system with a specified input function, the Taylor series approach and the similarity transformation approach, are compared and contrasted through application to three examples. It is shown that, as for linea...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/0025-5564(90)90055-4
更新日期:1990-11-01 00:00:00
abstract::Through use of the local state isomorphism theorem instead of the algebraic equivalence theorem of linear systems theory, the similarity transformation approach is extended to nonlinear models, resulting in finitely verifiable sufficient and necessary conditions for global and local identifiability. The approach requi...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/0025-5564(89)90024-2
更新日期:1989-04-01 00:00:00
abstract::In this paper, we investigate the effects of recurring mass gathering event on the spread of an epidemic. Mass gatherings take place when a large number of people from different locations visit a particular region during a short time period. Such activity plays a crucial role in the epidemic spread as traveling facili...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2019.03.006
更新日期:2019-06-01 00:00:00
abstract::Stability of the 'guardian of the genome' tumor suppressor protein p53 is regulated predominantly through its ubiquitination. The ubiquitin-specific protease HAUSP plays an important role in this process. Recent experiments showed that p53 demonstrates a differential response to changes in HAUSP which nature and signi...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2007.05.005
更新日期:2007-11-01 00:00:00
abstract::Let S be a set of n objects. A binary tree of S is a binary tree whose leaves are labeled without repetition from S. The operation of pruning a tree T is that of removing some leaves from T and suppressing all inner vertices of degree 2 which are formed by this deletion. Given two trees T and U, an agreement tree is a...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/0025-5564(94)90012-4
更新日期:1994-10-01 00:00:00
abstract::Under the influence of randomly occurring disasters, the eventual extinction probability, q, of a birth and death process, Z, is a random variable. In this paper, we obtain an integral expression for the probability density function g(x) of q under the assumption that the population process Z is a time homogeneous lin...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/s0025-5564(99)00059-0
更新日期:2000-03-01 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
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::This paper deals with numerical modeling and simulation of heat transfer in skin tissues using non-linear dual-phase-lag (DPL) bioheat transfer model under periodic heat flux boundary condition. The blood perfusion is assumed temperature-dependent which results in non-linear DPL bioheat transfer model in order to pred...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2017.08.009
更新日期:2017-11-01 00:00:00
abstract::We study the invasion of a top predator into a food chain in a chemostat. For each trophic level, a bioenergetic model is used in which maintenance and energy reserves are taken into account. Bifurcation analysis is performed on the set of nonlinear ordinary differential equations which describe the dynamic behaviour ...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/s0025-5564(98)10083-4
更新日期:1999-03-15 00:00:00
abstract::Synthetic biology has shown its potential and promising applications in the last decade. However, many synthetic gene networks cannot work properly and maintain their desired behaviors due to intrinsic parameter variations and extrinsic disturbances. In this study, the intrinsic parameter uncertainties and external di...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2010.12.007
更新日期:2011-03-01 00:00:00
abstract::The motions of many physical particles as well as living creatures are mediated by random influences or 'noise'. One might expect that over evolutionary time scales internal random processes found in living systems display characteristics that maximize fitness. Here we focus on animal random search strategies [G.M. Vi...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2006.11.014
更新日期:2007-06-01 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::Some viruses encode proteins that promote cell proliferation while others, such as the human immunodeficiency virus (HIV), encode proteins that prevent cell division. It has been hypothesized that the selective advantage determining which strategy evolves depends on the ability of the virus to induce a cellular enviro...
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
abstract::A stochastic model for hospital infection incorporating both direct transmission and indirect transmission via free-living bacteria in the environment is investigated. We examine the long term behavior of the model by calculating a stationary distribution and normal approximation of the distribution. The quasi-station...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2012.10.002
更新日期:2013-01-01 00:00:00
abstract::In this paper, we propose an iterative learning rule that allows the imprinting of correlated oscillatory patterns in a model of the hippocampus able to work as an associative memory for oscillatory spatio-temporal patterns. We analyze the dynamics in the Fourier domain, showing how the network selectively amplify or ...
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
abstract::Modeling a cell's response to encroaching ice has informed the development of cryopreservation protocols for four decades. It has been well documented that knowledge of the cellular state as a function of media and cooling rate faciliate informed cryopreservation protocol design and explain mechanisms of damage. Howev...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/j.mbs.2019.108240
更新日期:2019-10-01 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
pub_type: 杂志文章
doi:10.1016/s0025-5564(98)10028-7
更新日期:1998-09-01 00:00:00