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Journal of Biological Dynamics

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https://www.readbyqxmd.com/read/30131017/modeling-the-seasonality-of-methicillin-resistant-staphylococcus-aureus-infections-in-hospitals-with-environmental-contamination
#1
Qimin Huang, Xi Huo, Darlene Miller, Shigui Ruan
A deterministic mathematical model with periodic antibiotic prescribing rate is constructed to study the seasonality of Methicillin-resistant Staphylococcus aureus (MRSA) infections taking antibiotic exposure and environmental contamination into consideration. The basic reproduction number [Formula: see text] for the periodic model is calculated under the assumption that there are only uncolonized patients with antibiotic exposure at admission. Sensitivity analysis of [Formula: see text] with respect to some essential parameters is performed...
August 22, 2018: Journal of Biological Dynamics
https://www.readbyqxmd.com/read/30114977/equilibrium-distributions-of-populations-of-biological-species-on-networks-of-social-sites
#2
Min Wang, Wen Zhou, Zhijun Wu
We investigate the problem of how a population of biological species would distribute over a given network of social sites so that their social contacts through the connected sites can be maximized (or minimized). This problem has applications in modelling the behaviours of social (or solitary) species such as the development of social groups in human society and the spread of solitary animals in distant habitats. We show that this problem can be formulated as an evolutionary game, with the equilibrium state of the game corresponding to a strategy for choosing the residing sites, each with a certain probability, or equivalently, to a distribution of the population on these sites...
August 16, 2018: Journal of Biological Dynamics
https://www.readbyqxmd.com/read/30021482/the-effect-of-delay-in-viral-production-in-within-host-models-during-early-infection
#3
Fan Bai, Krystin E S Huff, Linda J S Allen
Delay in viral production may have a significant impact on the early stages of infection. During the eclipse phase, the time from viral entry until active production of viral particles, no viruses are produced. This delay affects the probability that a viral infection becomes established and timing of the peak viral load. Deterministic and stochastic models are formulated with either multiple latent stages or a fixed delay for the eclipse phase. The deterministic model with multiple latent stages approaches in the limit the model with a fixed delay as the number of stages approaches infinity...
July 19, 2018: Journal of Biological Dynamics
https://www.readbyqxmd.com/read/30175687/the-large-graph-limit-of-a-stochastic-epidemic-model-on-a-dynamic-multilayer-network
#4
Karly A Jacobsen, Mark G Burch, Joseph H Tien, Grzegorz A Rempała
We consider a Markovian SIR-type (Susceptible → Infected → Recovered) stochastic epidemic process with multiple modes of transmission on a contact network. The network is given by a random graph following a multilayer configuration model where edges in different layers correspond to potentially infectious contacts of different types. We assume that the graph structure evolves in response to the epidemic via activation or deactivation of edges of infectious nodes. We derive a large graph limit theorem that gives a system of ordinary differential equations (ODEs) describing the evolution of quantities of interest, such as the proportions of infected and susceptible vertices, as the number of nodes tends to infinity...
December 2018: Journal of Biological Dynamics
https://www.readbyqxmd.com/read/30112974/characterising-model-dynamics-using-sparse-grid-interpolation-parameter-estimation-of-cholera
#5
Aditya Sai, Nan Kong
Sparse grid interpolation is a popular numerical discretization technique for the treatment of high dimensional, multivariate problems. We consider the case of using time-series data to calibrate epidemiological models from both phenomenological and mechanistic perspectives using this computational tool. By capturing the dynamics underlying both global and local spaces, our algorithm identifies potentially optimal regions of the parameter space and directs computational effort towards resolving the dynamics and resulting fits of these regions...
December 2018: Journal of Biological Dynamics
https://www.readbyqxmd.com/read/30067144/analysis-of-latent-chikv-dynamics-models-with-general-incidence-rate-and-time-delays
#6
Ahmed M Elaiw, Taofeek O Alade, Saud M Alsulami
In this paper, we study the stability analysis of latent Chikungunya virus (CHIKV) dynamics models. The incidence rate between the CHIKV and the uninfected monocytes is modelled by a general nonlinear function which satisfies a set of conditions. The model is incorporated by intracellular discrete or distributed time delays. Using the method of Lyapunov function, we established the global stability of the steady states of the models. The theoretical results are confirmed by numerical simulations.
December 2018: Journal of Biological Dynamics
https://www.readbyqxmd.com/read/30067132/asynchronous-exponential-growth-for-a-two-phase-size-structured-population-model-and-comparison-with-the-corresponding-one-phase-model
#7
Meng Bai, Shihe Xu
In this paper we study a two-phase size-structured population model with distributed delay in the birth process. This model distinguishes individuals by 'active' or 'resting' status. The individuals in the two life-stages have different growth rates. Only individuals in the 'active' stage give birth to the individuals in the 'active' stage or the 'resting' stage. The size of all the newborns is 0. By using the method of semigroups, we obtain that the model is globally well-posed and its solution possesses the property of asynchronous exponential growth...
December 2018: Journal of Biological Dynamics
https://www.readbyqxmd.com/read/30058476/oscillatory-behaviour-control-in-a-continuous-culture-under-double-substrate-limitation
#8
Piotr Skupin, Mieczyslaw Metzger
The paper discusses the possibility of using a mixture of two growth limiting substrates to induce or eliminate self-sustained oscillations in a continuous culture process. The proportion of both substrates in the mixture is treated as a new control variable. The presented approach is based on the assumption that the oscillatory behaviour occurs for selected substrates in some range of dilution rates. Because a double-substrate limitation may occur, the analysis is performed for two fundamental substrate utilization patterns: simultaneous consumption and diauxic growth...
December 2018: Journal of Biological Dynamics
https://www.readbyqxmd.com/read/30051763/a-particle-model-analysing-the-behavioural-rules-underlying-the-collective-flight-of-a-bee-swarm-towards-the-new-nest
#9
Sara Bernardi, Annachiara Colombi, Marco Scianna
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 to investigate these aspects. In particular, each bee, represented by a material point, is assigned its status within the colony and set to move according to individual strategies and social interactions...
December 2018: Journal of Biological Dynamics
https://www.readbyqxmd.com/read/30047315/the-transmission-dynamic-of-different-hepatitis-b-infected-individuals-with-the-effect-of-hospitalization
#10
Tahir Khan, Gul Zaman, Muhammad Ikhlaq Chohan
We propose an epidemic model for the transmission of hepatitis B virus along with the classification of different infection phases and hospitalized class. We formulate the model and discuss its basic mathematical properties, e.g. existence, positivity, and biological feasibility. Exploiting the next generation matrix approach, we find the basic reproductive number of the model. We perform sensitivity analysis to illustrate the effect of various parameters on the transmission of the disease. We investigate stability of the equilibria of the model in terms of the basic reproduction number...
December 2018: Journal of Biological Dynamics
https://www.readbyqxmd.com/read/30025503/characterization-of-wolbachia-enhancing-domain-in-mosquitoes-with-imperfect-maternal-transmission
#11
Bo Zheng, Jianshe Yu
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 size once Wolbachia infection alters the logistic control death rate of infected females. However, counting mosquitoes is beyond the realms of possibility. A plausible method is to monitor the infection frequency...
December 2018: Journal of Biological Dynamics
https://www.readbyqxmd.com/read/30022715/dynamics-of-malaria-transmission-model-with-sterile-mosquitoes
#12
Hongyan Yin, Cuihong Yang, Xin'an Zhang, Jia Li
In this paper, a malaria transmission model with sterile mosquitoes is considered. We first formulate a simple SEIR malaria transmission model as our baseline model. Then sterile mosquitoes are introduced into the baseline model. We consider the case that the release rate of sterile mosquitoes is proportional to the wild mosquito population size. To investigate the impact of releasing sterile mosquitoes on the malaria transmission, the dynamics of the baseline model and the models with the sterile mosquitoes are discussed...
December 2018: Journal of Biological Dynamics
https://www.readbyqxmd.com/read/29962293/on-the-dynamics-of-one-prey-n-predator-impulsive-reaction-diffusion-predator-prey-system-with-ratio-dependent-functional-response
#13
Zijian Liu, Lei Zhang, Ping Bi, Jianhua Pang, Bing Li, Chengling Fang
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 of the predator-prey system are established. By constructing an appropriate auxiliary function, the conditions for the existence of a unique globally stable positive periodic solution are also obtained...
December 2018: Journal of Biological Dynamics
https://www.readbyqxmd.com/read/29862900/effects-of-pesticide-dose-on-holling-ii-predator-prey-model-with-feedback-control
#14
Jin Yang, Yuanshun Tan
We establish a Holling II predator-prey system with pesticide dose response non-linear pulses and then study the global dynamics of the model. First, we construct the Poincaré map in the phase set and discuss its main properties. Second, threshold conditions for the existence and stability of boundary periodic solution and order-[Formula: see text] periodic solutions have been provided. The results show that the pesticide dose increases when the period of control increases, while it will decrease as threshold increases...
December 2018: Journal of Biological Dynamics
https://www.readbyqxmd.com/read/29855227/an-sir-pairwise-epidemic-model-with-infection-age-and-demography
#15
Wenjun Jing, Zhen Jin, Juping Zhang
The demography and infection age play an important role in the spread of slowly progressive diseases. To investigate their effects on the disease spreading, we propose a pairwise epidemic model with infection age and demography on dynamic networks. The basic reproduction number of this model is derived. It is proved that there is a disease-free equilibrium which is globally asymptotically stable if the basic reproduction number is less that unity. Besides, sensitivity analysis is performed and shows that increasing the variance in recovery time and decreasing the variance in infection time can effectively control the diseases...
December 2018: Journal of Biological Dynamics
https://www.readbyqxmd.com/read/29792112/analytical-and-computational-study-of-an-individual-based-network-model-for-the-spread-of-heavy-drinking
#16
Donald A French, Marisa Eisenberg, Tony Nance, Zeynep Teymuroglu
Two simple models for the spread of heavy drinking among a network of individuals are re-introduced and analysed. We provide theorems on the spread of alcohol abuse for these models in cases involving simple connection schemes. Indicators for this spread that resemble the [Formula: see text] used in disease assessment are suggested and studied. We further provide computations with our models on general application networks and begin to study the reliability of the spread indicators.
December 2018: Journal of Biological Dynamics
https://www.readbyqxmd.com/read/29774800/selfish-altruism-fierce-cooperation-and-the-predator
#17
Nikolaos Askitas
This paper suggests a new way to think about a famous question: what explains cooperation in nature and in particular in humans? I argue that, for an evolutionary biologist as well as a quantitative social scientist, the triangle of two 'teammates' in the presence of a predator (passing and shooting in two-on-one situations) is one of the fundamental conceptual building-blocks for understanding these phenomena because in such a situation the fact that life is packaged in many distinct enclosures (and not in one big monolithic blob) can unfold its comparative advantage...
December 2018: Journal of Biological Dynamics
https://www.readbyqxmd.com/read/29757093/dispersal-altering-local-states-has-a-limited-effect-on-persistence-of-a-metapopulation
#18
Jingjing Xu, Geoff Wild
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 predicts that a metapopulation will, in general, be found either in the state of global extinction or in the state of persistence. Our key finding is that dispersal, and the state changes associated with dispersal, have significant qualitative and quantitative effects on long-term dynamics only in a narrow range of parameter space...
December 2018: Journal of Biological Dynamics
https://www.readbyqxmd.com/read/29737924/global-exponential-stability-of-positive-periodic-solution-of-the-n-species-impulsive-gilpin-ayala-competition-model-with-discrete-and-distributed-time-delays
#19
Kaihong Zhao
In this paper, we study the n-species impulsive Gilpin-Ayala competition model with discrete and distributed time delays. The existence of positive periodic solution is proved by employing the fixed point theorem on cones. By constructing appropriate Lyapunov functional, we also obtain the global exponential stability of the positive periodic solution of this system. As an application, an interesting example is provided to illustrate the validity of our main results.
December 2018: Journal of Biological Dynamics
https://www.readbyqxmd.com/read/29730976/a-mathematical-model-of-malaria-transmission-in-a-periodic-environment
#20
Traoré Bakary, Sangaré Boureima, Traoré Sado
In this paper, we present a mathematical model of malaria transmission dynamics with age structure for the vector population and a periodic biting rate of female anopheles mosquitoes. The human population is divided into two major categories: the most vulnerable called non-immune and the least vulnerable called semi-immune. By applying the theory of uniform persistence and the Floquet theory with comparison principle, we analyse the stability of the disease-free equilibrium and the behaviour of the model when the basic reproduction ratio [Formula: see text] is greater than one or less than one...
December 2018: Journal of Biological Dynamics
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