Search Results - "Wake, G C"

Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models by Korobeinikov, A., Wake, G.C.

“…Lyapunov functions for classical SIR, SIRS, and SIS epidemiological models are introduced. Global stability of the endemic equilibrium states of the models is…”
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Self-heating in compost piles due to biological effects by Nelson, M.I., Marchant, T.R., Wake, G.C., Balakrishnan, E., Chen, X.D.

“…The increase in temperature in compost piles/landfill sites due to micro-organisms undergoing exothermic reactions is modelled. A simplified model is…”
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Solutions to an advanced functional partial differential equation of the pantograph type by Zaidi, Ali A., Van Brunt, B., Wake, G. C.

“…A model for cells structured by size undergoing growth and division leads to an initial boundary value problem that involves a first-order linear partial…”
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Modeling the interaction of milking frequency and nutrition on mammary gland growth and lactation by Vetharaniam, I, Davis, S R, Soboleva, T K, Shorten, P R, Wake, G C

“…A mathematical model of biological mechanisms regulating lactation is constructed. In particular, the model allows prediction of the effect of milking…”
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A bifurcation analysis of a simple phytoplankton and zooplankton model by Hamzah, Norhayati, Ross, A., Wake, G.C.

“…The paper presents a detailed study of a four component population dynamical model consisting of the biomasses of carbon of phytoplankton x 1 , nitrogen of…”
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Modelling leptospirosis in livestock by Babylon, A M, Roberts, M G, Wake, G C

“…New Zealand has one of the highest (per capita) incidences of human leptospirosis in the world. It is the highest occurring occupational disease in New…”
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Active insulin infusion using optimal and derivative-weighted control by Lam, Z.-H., Hwang, K.-S., Lee, J.-Y., Chase, J.G., Wake, G.C.

“…Close control of blood glucose levels significantly reduces vascular complications in Type I diabetes. A control method for the automation of insulin infusion…”
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Analysis of a predator–prey system with predator switching by Khan, Q.J.A, Balakrishnan, E, Wake, G.C

“…In this paper, we consider an interaction of prey and predator species where prey species have the ability of group defence. Thresholds, equilibria and…”
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Modelling nutrient deposition from intensive agricultural practices by Taylor, S.W., Pleasants, A.B., Babylon, A.M., Wake, G.C.

“…•Probability density derived for urine pollution by grazing animals.•The distribution of urine over a grazed pasture.•A probability density for heterogeneous…”
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Holomorphic solutions to pantograph type equations with neutral fixed points by van Brunt, B, Marshall, J.C, Wake, G.C

“…Pantograph type equations have been studied extensively owing to the numerous applications in which these equations arise. These studies focused primarily on…”
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Analysis of a class of distributed delay logistic differential equations by Rasmussen, H., Wake, G.C., Donaldson, J.

“…In this paper, we consider the illustrative example of generalised logistic equations where the carrying-capacity effect is modelled by a distributed-delay…”
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A natural boundary for solutions to the second order pantograph equation by Marshall, J.C., van-Brunt, B., Wake, G.C.

“…Pantograph equations are characterized by the presence of a linear functional argument. These equations arise in several applications and often the argument…”
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ROLE OF PREDATION IN THE DECLINE OF KIWI, APTERYX SPP., IN NEW ZEALAND by McLENNAN, J.A., POTTER, M.A., ROBERTSON, H.A., WAKE, G.C., COLBOURNE, R., DEW, L., JOYCE, L., McCANN, A.J., MILES, J., MILLER, P.J., REID, J.

“…Kiwi have declined markedly in abundance and range since human settlement of New Zealand. Three of the four species are still extant in mainland forests,…”
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The existence of steady states to a combustion model with internal heating by Shah, A.A, Wake, G.C

“…In recent numerical studies [5-7,20,26], the authors examined the effect of a constant source of heat placed at the centre of a reactive solid X. Reactions…”
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CALCULUS FROM THE PAST: MULTIPLE DELAY SYSTEMS ARISING IN CANCER CELL MODELLING by WAKE, G. C., BYRNE, H. M.

“…Nonlocal calculus is often overlooked in the mathematics curriculum. In this paper we present an interesting new class of nonlocal problems that arise from…”
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Natural Boundaries for Solutions to a Certain Class of Functional Differential Equations by Marshall, J.C., van Brunt, B., Wake, G.C.

“…This paper is concerned with a generalization of a functional differential equation known as the pantograph equation. The pantograph equation contains a linear…”
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The evolution of a truncated gaussian probability density through time—modelling animal liveweights after selection by Wake, G.C., Soboleva, T.K., Pleasants, A.B.

“…The form of the probability density derived from the evolution in time of a previously truncated frequency distribution of animal Liveweights is of interest in…”
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Radiative ignition of combustible materials I. Polymeric materials undergoing nonflaming thermal degradation—the critical storage problem by Balakrishnan, E., Nelson, M.I., Wake, G.C.

“…The critical storage problem for a self-heating combustible material exposed to an external radiative heat source is investigated. The reaction kinetics are…”
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A new, improved and generalizable approach for the analysis of biological data generated by -omic platforms by Pleasants, A B, Wake, G C, Shorten, P R, Hassell-Sweatman, C Z W, McLean, C A, Holbrook, J D, Gluckman, P D, Sheppard, A M

“…The principles embodied by the Developmental Origins of Health and Disease (DOHaD) view of 'life history' trajectory are increasingly underpinned by biological…”
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The application of a model of glucose and insulin dynamics to explain an observed effect of leptin administration in reversal of developmental programming by Wake, G.C., Pleasants, A.B., Vickers, M.H., Sheppard, A.M., Gluckman, P.D.

“…A dynamical model describing the glucose–insulin physiological system was applied to an experiment on the administration of the adipokine leptin between…”
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