A continuous-time mathematical model and discrete approximations for the aggregation of β-Amyloid.

abstract：:Here we present a novel application of stage-structured population modelling to explore the properties of neuronal dendrites with spines. Dendritic spines are small protrusions that emanate from the dendritic shaft of several functionally important neurons in the cerebral cortex. They are the postsynaptic sites of ove...

journal_title：Journal of biological dynamics

authors： Rouhani M,Baer SM,Crook SM

更新日期：2020-12-04 00:00:00

abstract：:Previous works using different mathematical techniques, however, show that the concavity of the trade-off relationship can alter the expected life history strategies. Thus we developed a model and found that the concavity of the reproduction-survival curve can still have a large impact on life history strategies in an...

journal_title：Journal of biological dynamics

authors： Farrell AP

更新日期：2020-11-30 00:00:00

abstract：:Drugs of abuse, such as opiates, are one of the leading causes for transmission of HIV in many parts of the world. Drug abusers often face a higher risk of acquiring HIV because target cell (CD4+ T-cell) receptor expression differs in response to morphine, a metabolite of common opiates. In this study, we use a viral ...

journal_title：Journal of biological dynamics

authors： Bloomquist A,Vaidya NK

更新日期：2020-11-07 00:00:00

abstract：:In this paper, we apply optimal control theory to a novel coronavirus (COVID-19) transmission model given by a system of non-linear ordinary differential equations. Optimal control strategies are obtained by minimizing the number of exposed and infected population considering the cost of implementation. The existence ...

journal_title：Journal of biological dynamics

authors： Lemecha Obsu L,Feyissa Balcha S

更新日期：2020-12-01 00:00:00

abstract：:Amyloid polypeptide (IAPP) fibril formation is the main cause of type II diabetes mellitus (T2DM) disease and cardiovascular disease (CVD). Therefore, implementing therapeutic interventions strategies to control IAPP fibril formation plays a crucial role in preventing and managing T2DM disease and CVD. For this purpos...

journal_title：Journal of biological dynamics

authors： M'pika Massoukou RY,Oukouomi Noutchie SC,Mbroh NA

更新日期：2020-12-01 00:00:00

abstract：:The long and binding treatment of tuberculosis (TB) at least 6-8 months for the new cases, the partial immunity given by BCG vaccine, the loss of immunity after a few years doing that strategy of TB control via vaccination and treatment of infectious are not sufficient to eradicate TB. TB is an infectious disease caus...

journal_title：Journal of biological dynamics

authors： Nkamba LN,Manga TT,Agouanet F,Mann Manyombe ML

更新日期：2019-12-01 00:00:00

abstract：:To study the interaction of parasitoids and their insect hosts in laboratory environment, we propose a mathematical model incorporating impulsive resource inputs, stage-structure, maturation times and negative binomial distribution of parasitoid attacks. According to the adaptability of the insect host to the environm...

journal_title：Journal of biological dynamics

authors： Huang M,Liu S,Xu D,Song X,Wang J

更新日期：2019-12-01 00:00:00

abstract：:In this paper, we propose an SIVS epidemic model with continuous age structures in both infected and vaccinated classes and with a general nonlinear incidence. Firstly, we provide some basic properties of the system including the existence, uniqueness and positivity of solutions. Furthermore, we show that the solution...

journal_title：Journal of biological dynamics

authors： Yang J,Chen Y

更新日期：2018-12-01 00:00:00

abstract：:The study of the role of environmental variation in community dynamics has traditionally assumed that the environment is a stationary stochastic process or a periodic deterministic process. However, the physical environment in nature is nonstationary. Moreover, anthropogenically driven climate change provides a new ch...

journal_title：Journal of biological dynamics

authors： Chesson P

更新日期：2019-01-01 00:00:00

abstract：:The swarming of a bee colony is guided by a small group of scout individuals, which are informed of the target destination (the new nest). However, little is known on the underlying mechanisms, i.e. on how the information is passed within the population. In this respect, we here present a discrete mathematical model t...

journal_title：Journal of biological dynamics

authors： Bernardi S,Colombi A,Scianna M

更新日期：2018-12-01 00:00:00

abstract：:A novel method to reduce the burden of dengue is to seed wild mosquitoes with Wolbachia-infected mosquitoes in dengue-endemic areas. Concerns in current mathematical models are to locate the Wolbachia introduction threshold. Our recent findings manifest that the threshold is highly dependent on the initial population ...

journal_title：Journal of biological dynamics

authors： Zheng B,Yu J

更新日期：2018-12-01 00:00:00

abstract：:In this paper, a one-prey-n-predator impulsive reaction-diffusion periodic predator-prey system with ratio-dependent functional response is investigated. On the basis of the upper and lower solution method and comparison theory of differential equation, sufficient conditions on the ultimate boundedness and permanence ...

journal_title：Journal of biological dynamics

authors： Liu Z,Zhang L,Bi P,Pang J,Li B,Fang C

更新日期：2018-12-01 00:00:00

abstract：:Metapopulations are collections of local populations connected by dispersal. Metapopulation models often assume would-be colonists affect the states of local populations they disperse from and those they disperse to. Here, we build a new framework to include that effect and to assess the impact of dispersal. Our model...

journal_title：Journal of biological dynamics

authors： Xu J,Wild G

更新日期：2018-12-01 00:00:00

abstract：:This paper introduces a novel partial differential equation immuno-eco-epidemiological model of competition in which one species is affected by a disease while another can compete with it directly and by lowering the first species' immune response to the infection, a mode of competition termed stress-induced competiti...

journal_title：Journal of biological dynamics

authors： Barfield M,Martcheva M,Tuncer N,Holt RD

更新日期：2018-12-01 00:00:00

abstract：:Motivated by questions in biology, we investigate the stability of equilibria of the dynamical system [Formula: see text] which arise as critical points of f, under the assumption that [Formula: see text] is positive semi-definite. It is shown that the condition [Formula: see text], where [Formula: see text] is the sm...

journal_title：Journal of biological dynamics

authors： Ridenhour BJ,Ridenhour JR

更新日期：2018-12-01 00:00:00

abstract：:Microtubules (MTs) are protein filaments that provide structure to the cytoskeleton of cells and a platform for the movement of intracellular substances. The spatial organization of MTs is crucial for a cell's form and function. MTs interact with a class of proteins called motor proteins that can transport and positio...

journal_title：Journal of biological dynamics

authors： Hillen T,White D,de Vries G,Dawes A

更新日期：2017-08-01 00:00:00

abstract：:This article studies existence and stability of travelling wave of unstirred Gray-Scott system in biological pattern formation which models an isothermal chemical reaction [Formula: see text] involving two chemical species, a reactant A and an auto-catalyst B, and a linear decay [Formula: see text], where C is an iner...

journal_title：Journal of biological dynamics

authors： Qi Y,Zhu Y

更新日期：2017-08-01 00:00:00

abstract：:The aim of our study is to improve the crop planning procedures using neuro-fuzzy concepts. In this paper we design a neuro-fuzzy procedure that offers the suitable maize hybrid, from a set of preferred hybrids, which must be organically farmed in the current year. Our method is a statistical one, on the one hand it p...

journal_title：Journal of biological dynamics

authors： Constantinescu A

更新日期：2017-12-01 00:00:00

abstract：:In this paper, a multi-strain model that links immunological and epidemiological dynamics across scales is formulated. On the within-host scale, the n strains eliminate each other with the strain having the largest immunological reproduction number persisting. However, on the population scale, we extend the competitiv...

journal_title：Journal of biological dynamics

authors： Dang YX,Li XZ,Martcheva M

更新日期：2016-12-01 00:00:00

abstract：:Understanding the population dynamics of herbivorous insects is critical to developing and implementing effective pest control protocols. In the context of inverse problems, we explore the dynamic effects of pesticide treatments on Lygus hesperus, a common pest of cotton in the western United States. Fitting models to...

journal_title：Journal of biological dynamics

authors： Banks HT,Banks JE,Rosenheim J,Tillman K

更新日期：2017-03-01 00:00:00

abstract：:We study a discrete time, structured population dynamic model that is motivated by recent field observations concerning certain life history strategies of colonial-nesting gulls, specifically the glaucous-winged gull (Larus glaucescens). The model focuses on mechanisms hypothesized to play key roles in a population's ...

journal_title：Journal of biological dynamics

authors： Veprauskas A,Cushing JM

更新日期：2017-03-01 00:00:00

abstract：:A predator-prey discrete-time model with Holling-IV functional response and distributed delays is investigated in this paper. By using the comparison theorem of the difference equation and some analysis technique, some sufficient conditions are obtained for the permanence of the discrete predator-prey system. Two exam...

journal_title：Journal of biological dynamics

authors： Zhang X,Wu Z,Zhou T

更新日期：2016-01-01 00:00:00

abstract：:To prevent the transmissions of malaria, dengue fever, or other mosquito-borne diseases, one effective weapon is the sterile insect technique in which sterile mosquitoes are released to reduce or eradicate the wild mosquito population. To study the impact of the sterile insect technique on disease transmission, we for...

journal_title：Journal of biological dynamics

authors： Li J,Yuan Z

更新日期：2015-01-01 00:00:00

abstract：:The release of sterile insects is an environment friendly pest control method used in integrated pest management programmes. Difference or differential equations based on Knipling's model often provide satisfactory qualitative descriptions of pest populations subject to sterile release at relatively high densities wit...

journal_title：Journal of biological dynamics

authors： Gordillo LF

更新日期：2015-01-01 00:00:00

abstract：:The paper studies a periodic and delayed predator-prey system with non-monotonic functional responses and stage structure. In the system, both the predator and prey are divided into immature individuals and mature individuals by two fixed ages. It is assumed that the immature predators cannot attack preys, and the cas...

journal_title：Journal of biological dynamics

authors： Liu Y,Zhang X,Zhou T

更新日期：2014-01-01 00:00:00

abstract：:In the paper [A. Ben Amar, A. Jeribi, and B. Krichen, Fixed point theorems for block operator matrix and an application to a structured problem under boundary conditions of Rotenberg's model type, to appear in Math. Slovaca. (2014)], the existence of solutions of the two-dimensional boundary value problem (1) and (2) ...

journal_title：Journal of biological dynamics

authors： Jeribi A,Krichen B,Mefteh B

更新日期：2013-01-01 00:00:00

abstract：:In this paper, a two-strain model that links immunological and epidemiological dynamics across scales is formulated. On the within-host scale, the two strains eliminate each other with the strain with the larger immunological reproduction persisting. However, on the population scale superinfection is possible, with th...

journal_title：Journal of biological dynamics

authors： Martcheva M,Li XZ

更新日期：2013-01-01 00:00:00

abstract：:In order to maximize the information that a linearized stability analysis provides, one should work with two free parameters rather than one. Moreover, it is recommended to first consider coefficients in the characteristic equation as parameters and in a second step (try to) invert the map that defines the coefficient...

journal_title：Journal of biological dynamics

authors： Diekmann O,Korvasová K

更新日期：2013-01-01 00:00:00

abstract：:In this paper, by means of the invariance principle of differential equations, an adaptive feedback scheme is proposed to realize desynchronization in synchronous multi-coupled chaotic neurons by the mix-adaptive feedback effectively. Numerical simulations for the Hindmarsh-Rose neural model with self-coupling are ill...

journal_title：Journal of biological dynamics

authors： Zhao Y,Feng Z

更新日期：2013-01-01 00:00:00

abstract：:We present a generalized Keller-Segel model where an arbitrary number of chemical compounds react, some of which are produced by a species, and one of which is a chemoattractant for the species. To investigate the stability of homogeneous stationary states of this generalized model, we consider the eigenvalues of a li...

journal_title：Journal of biological dynamics

authors： De Leenheer P,Gopalakrishnan J,Zuhr E

更新日期：2012-01-01 00:00:00