A Prey-Predator Model with Hysteresis Effect

Aiki, Toyohiko

doi:10.1137/s0036141004440186

Cited by 23 publications

(17 citation statements)

References 10 publications

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“…This is a reason why our problem is called a quasi-variational inequality (cf. [1,2,9,17,20,21,27]), since the constraint set depends on the unknown function.…”

Section: Navier-stokes Variational Inequalities With Prescribed Constmentioning

confidence: 99%

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A thermohydraulics model with temperature dependent constraint on velocity fields

Fukao¹,

Kenmochi²

2014

Discrete &Amp; Continuous Dynamical Systems - S

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In this paper, the Navier-Stokes variational inequality with the temperature dependent constraint is considered in 3-dimensional space. This problem is motivated by an initial-boundary value problem for a thermohydraulics model in which the absolute value of the velocity field is constrained, depending on the unknown temperature. The abstract theory of nonlinear evolution equations governed by subdifferentials of time-dependent convex functionals is useful in showing the existence of a solution. In the mathematical treatment, the point of emphasis is to specify a class of time-dependence of convex constraints.

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“…This is a reason why our problem is called a quasi-variational inequality (cf. [1,2,9,17,20,21,27]), since the constraint set depends on the unknown function.…”

Section: Navier-stokes Variational Inequalities With Prescribed Constmentioning

confidence: 99%

“…Many papers, for example [2,20], treated the classical concept, and others [1,9,17,21,27] dealt with various concrete problems as the system of nonlinear parabolic partial differential equations with the unknown dependent constraint.…”

mentioning

confidence: 99%

A thermohydraulics model with temperature dependent constraint on velocity fields

Fukao¹,

Kenmochi²

2014

Discrete &Amp; Continuous Dynamical Systems - S

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“…IBM's paper [6] also considers the growth by a hysteresis operator or in [35] where a preydynamic and autonomous optimization of IT infrastrucpredator hysteresis model is proposed. ture parameters through policies that attribute traffic handling priorities according to high-level business objectives VI.…”

Section: Research Related To the Three Usage Domains And Their III Amentioning

confidence: 99%

Research Challenges of Business-Driven IT Management

Moura

Sauve

Bartolini³

2007

2007 2nd IEEE/IFIP International Workshop on Business-Driven IT Management

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and objectives. These measures can be inferred from key Abstract -Business-driven IT management (BDIM) aims at corporate performance indicators. They can be of a finanmanaging enterprise IT infrastructure and services efficiently cial nature (revenue, cost ...) or different (personnel utiliand at improving business results at the same time. BDIM is zation ...) or even reflect intangibles such as impact on the based on mappings between IT technical performance metrics company's image. When ITSM uses business measures and business relevant metrics and exploit the linkage to provide for decision support instead of (or in addition to) convendecision support to IT management so as to maximize business tiona value and IT-Business alignment. As an example, the number of 1, tiehia mealsuresh(aailabiIT touput an successfully executed IT infrastructure changes can be mapped response time) to signal smoothness of IT operation, we to financial loss due to the service disruption experienced by call it Business-driven IT management (BDIM). customers when the changes take place. BDIM is a new IT management research area [7]. The Up to now, there has been some research effort in proposing term BDIM appears to have been first used in [8] in an and applying BDIMAsolutions to IT management with potential autonomic computing context. In general, however, gains for the business. However, much remains to be re-BDIM refers to a new culture and a set of new tools and searched, prototyped and validated before this new IT managedecision-making processes that explicitly focus on making ment discipline can become widely applicable. This paper IT help the business. BDIM attempts to gauge the impact presents a research agenda for BDIM. After reviewing BDIM concepts and proposing a framework to assist in defining andthat IT has on the busiess and aims at rethiking IT describing BDIM usage domains, the paper discusses ongoing management from this perspective, be this in an operawork and outlines some research challenges. tional, tactical or strategic context. The introduction of just a few, functionally limited, BDIM support tools in the Keywords -Business-driven IT management (BDIM), busimarket (see [9] for instance) so far, signals that BDIM is ness-oriented performance measures, modeling, performance still embryonic. On the other hand, BDIM can cover a lot evaluation, decision support, autonomic computing, Informaof ground, in autonomic or "conventional" IT infrastruction Technology Infrastructure Library (ITIL), IT Governance, tures as well as in manual IT management procedures. research topics.The proceedings of [7] offer an illustrative -albeit nonexhaustive -list of the many areas BDIM can successful-I. INTRODUCTION ly be applied to. There is growing interest in BDIM because of the benefit that it promises to bring to the busiThe contribution of Information technology (IT) to ness. business value creation is currently a hotly debated topic. A significant research effort is required in order for IT is expected to bring value to the bu...

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“…As pointed out by Visintin in [14] that some kinds of hysteresis operators can be represented by ordinary differential inclusion containing subdifferential of the indicator function of a closed interval. 1, where f * and f * are upper and lower curves, respectively (see T. Aiki, E. Minchev [18], Visintin [14] and Brokate and Sprekels [11]). 1, where f * and f * are upper and lower curves, respectively (see T. Aiki, E. Minchev [18], Visintin [14] and Brokate and Sprekels [11]).…”

Section: Introductionmentioning

confidence: 99%

“…The reaction-diffusion equations with hysteresis have been considerably studied during the last decades (see [18,19,11,[20][21][22]14,23] and references therein). In particular, some research have been done on the hysteretic reaction-diffusion equations coming from biochemistry, see Section 5.5 of [5] and [18,19,24,6,25].…”

Section: Introductionmentioning

confidence: 99%