Applied Impulsive Mathematical Models

Author : Ivanka Stamova,Gani Stamov
Publisher : Springer
Page : 318 pages
File Size : 49,8 Mb
Release : 2016-05-05
Category : Science
ISBN : 9783319280615

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Applied Impulsive Mathematical Models by Ivanka Stamova,Gani Stamov Pdf

Using the theory of impulsive differential equations, this book focuses on mathematical models which reflect current research in biology, population dynamics, neural networks and economics. The authors provide the basic background from the fundamental theory and give a systematic exposition of recent results related to the qualitative analysis of impulsive mathematical models. Consisting of six chapters, the book presents many applicable techniques, making them available in a single source easily accessible to researchers interested in mathematical models and their applications. Serving as a valuable reference, this text is addressed to a wide audience of professionals, including mathematicians, applied researchers and practitioners.

Author : Drumi Bainov,Pavel Simeonov
Publisher : Routledge
Page : 146 pages
File Size : 41,6 Mb
Release : 2017-11-01
Category : Mathematics
ISBN : 9781351439091

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Impulsive Differential Equations by Drumi Bainov,Pavel Simeonov Pdf

Impulsive differential equations have been the subject of intense investigation in the last 10-20 years, due to the wide possibilities for their application in numerous fields of science and technology. This new work presents a systematic exposition of the results solving all of the more important problems in this field.

Author : Ivanka Stamova,Gani Stamov
Publisher : CRC Press
Page : 134 pages
File Size : 51,8 Mb
Release : 2017-03-03
Category : Mathematics
ISBN : 9781315350448

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Functional and Impulsive Differential Equations of Fractional Order by Ivanka Stamova,Gani Stamov Pdf

The book presents qualitative results for different classes of fractional equations, including fractional functional differential equations, fractional impulsive differential equations, and fractional impulsive functional differential equations, which have not been covered by other books. It manifests different constructive methods by demonstrating how these techniques can be applied to investigate qualitative properties of the solutions of fractional systems. Since many applications have been included, the demonstrated techniques and models can be used in training students in mathematical modeling and in the study and development of fractional-order models.

Author : Andrey Antonov,Angel A. Dishliev,Angel B. Dishliev,Svetoslav Nenov
Publisher : Scientific Research Publishing, Inc. USA
Page : 239 pages
File Size : 40,6 Mb
Release : 2017-12-19
Category : Mathematics
ISBN : 9781618964403

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Mathematical Modeling of Discontinuous Processes by Andrey Antonov,Angel A. Dishliev,Angel B. Dishliev,Svetoslav Nenov Pdf

In this monograph as a mathematical apparatus are used and investigated several classes of differential equations. The most significant feature of these differential equations is the presence of impulsive effects. The main goals and the results achieved in the monograph are related to the use of this class of equation for an adequate description of the dynamics of several types of processes that are subject to discrete external interventions and change the speed of development. In all proposed models the following requirements have met: 1) Presented and studied mathematical models in the book are extensions of existing known in the literature models of real objects and related processes. 2) Generalizations of the studied models are related to the admission of external impulsive effects, which lead to “jump-like” change the quantity characteristics of the described object as well as the rate of its modification. 3) Sufficient conditions which guarantee certain qualities of the dynamics of the quantities of the modeled objects are found. 4) Studies of the qualities of the modification of the modeled objects are possible to be successful by differential equations with variable structure and impulsive effects. 5) The considerations relating to the existence of the studied properties of dynamic objects cannot be realized without introducing new concepts and proving of appropriate theorems. The main objectives can be conditionally divided into several parts: 1) New classes of differential equations with variable structure and impulses are introduced and studied; 2) Specific properties of the above-mentioned class of differential equations are introduced and studied. The present monograph consists of an introduction and seven chapters. Each chapter contains several sections.

Author : Michal Feckan
Publisher : Iph001
Page : 200 pages
File Size : 49,5 Mb
Release : 2018-11-09
Category : Science
ISBN : 0750317027

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Non-Instantaneous Impulsive Differenti by Michal Feckan Pdf

Non-instantaneous impulsive differential equations are widely used in physics, biology, dynamics and ecology and have a wide-ranging scope within the scientific industry. This book will help pave the way for a better fundamental understanding of the mathematical models and how they can be implemented.

Author : Carla M.A. Pinto,Clara Mihaela Ionescu
Publisher : Springer Nature
Page : 331 pages
File Size : 42,7 Mb
Release : 2024-01-09
Category : Mathematics
ISBN : 9783031426896

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Computational and Mathematical Models in Biology by Carla M.A. Pinto,Clara Mihaela Ionescu Pdf

This book provides the most valuable and updated research on computational and mathematical models in biological systems from influential researchers around the world and contributes to the development of future research guidelines in this topic. Topics include (but are not limited to): modeling infectious and dynamic diseases; regulation of cell function; biological pattern formation; biological networks; tumor growth and angiogenesis; complex biological systems; Monte Carlo methods; Control theory, optimization and their applications

Author : Albert C.J. Luo,Hüseyin Merdan
Publisher : Springer
Page : 205 pages
File Size : 53,7 Mb
Release : 2016-01-28
Category : Technology & Engineering
ISBN : 9783319266305

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Mathematical Modeling and Applications in Nonlinear Dynamics by Albert C.J. Luo,Hüseyin Merdan Pdf

The book covers nonlinear physical problems and mathematical modeling, including molecular biology, genetics, neurosciences, artificial intelligence with classical problems in mechanics and astronomy and physics. The chapters present nonlinear mathematical modeling in life science and physics through nonlinear differential equations, nonlinear discrete equations and hybrid equations. Such modeling can be effectively applied to the wide spectrum of nonlinear physical problems, including the KAM (Kolmogorov-Arnold-Moser (KAM)) theory, singular differential equations, impulsive dichotomous linear systems, analytical bifurcation trees of periodic motions, and almost or pseudo- almost periodic solutions in nonlinear dynamical systems.

Author : C.-H. Chen,A. Scapellato,A. Barbiero
Publisher : IOS Press
Page : 1266 pages
File Size : 49,7 Mb
Release : 2024-01-19
Category : Computers
ISBN : 9781643684598

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Applied Mathematics, Modeling and Computer Simulation by C.-H. Chen,A. Scapellato,A. Barbiero Pdf

Applied mathematics, modelling, and computer simulation are central to many aspects of engineering and computer science, and continue to be of intrinsic importance to the development of modern technologies. This book presents the proceedings of AMMCS 2023, the 3rd International Conference on Applied Mathematics, Modeling and Computer Simulation, held on 12 and 13 August 2023 in Wuhan, China. The conference provided an ideal opportunity for scholars and researchers to communicate important recent developments in their areas of specialization to their colleagues, and to scientists in related disciplines. More than 250 submissions were received for the conference, of which 133 were selected for presentation at the conference and inclusion here after a thorough peer-review process. These range from the theoretical and conceptual to strongly pragmatic papers addressing industrial best practice, and cover topics such as mathematical modeling and application; engineering applications and scientific computations; and the simulation of intelligent systems. The book explores practical experiences and enlightening ideas, and will be of interest to researchers, practitioners, and to all those working in the fields of applied mathematics, modeling and computer simulation.

Author : V. Lakshmikantham,Dimit?r Ba?nov,Pavel S. Simeonov
Publisher : World Scientific
Page : 296 pages
File Size : 43,5 Mb
Release : 1989
Category : Mathematics
ISBN : 9971509709

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Theory of Impulsive Differential Equations by V. Lakshmikantham,Dimit?r Ba?nov,Pavel S. Simeonov Pdf

Many evolution processes are characterized by the fact that at certain moments of time they experience a change of state abruptly. These processes are subject to short-term perturbations whose duration is negligible in comparison with the duration of the process. Consequently, it is natural to assume that these perturbations act instantaneously, that is, in the form of impulses. It is known, for example, that many biological phenomena involving thresholds, bursting rhythm models in medicine and biology, optimal control models in economics, pharmacokinetics and frequency modulated systems, do exhibit impulsive effects. Thus impulsive differential equations, that is, differential equations involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems.

Author : João P. Belfo,João M. Lemos
Publisher : Springer Nature
Page : 108 pages
File Size : 55,5 Mb
Release : 2020-06-19
Category : Technology & Engineering
ISBN : 9783030504885

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Optimal Impulsive Control for Cancer Therapy by João P. Belfo,João M. Lemos Pdf

This Springer brief discusses the use of control engineering methods to plan a cancer therapy which tends to reduce tumour size in patients, striking a balance that minimizes the toxic effects of the treatment. The authors address the design and computation of impulsive control therapies, a methodology previously underexplored in the application of control methods to medical modelling. This allows simulation of such discrete events as taking a pill rather than relying on the supply of therapy being continuous and steady. The book begins with an introduction to the topic, before moving onto pharmacokinetic, pharmacodynamical and tumour-growth models and explaining how they describe the relationship between a certain therapy plan and the evolution of cancer. This is placed firmly in the context of work introducing impulsive differential equations. The final chapter summarizes the research presented and suggests future areas of research to encourage readers in taking the subject forward. This book is of interest to biomedical engineers, researchers and students, particularly those with a background in systems and control engineering.

Author : Anonim
Publisher : Academic Publication
Page : 309 pages
File Size : 41,9 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9789542940098

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Specific Asymptotic Properties of the Solutions of Impulsive Differential Equations. Methods and Applications by Anonim Pdf

Author : Jude Hemanth,Tuncay Yigit,Bogdan Patrut,Anastassia Angelopoulou
Publisher : Springer Nature
Page : 797 pages
File Size : 53,8 Mb
Release : 2021-07-05
Category : Computers
ISBN : 9783030793579

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Trends in Data Engineering Methods for Intelligent Systems by Jude Hemanth,Tuncay Yigit,Bogdan Patrut,Anastassia Angelopoulou Pdf

This book briefly covers internationally contributed chapters with artificial intelligence and applied mathematics-oriented background-details. Nowadays, the world is under attack of intelligent systems covering all fields to make them practical and meaningful for humans. In this sense, this edited book provides the most recent research on use of engineering capabilities for developing intelligent systems. The chapters are a collection from the works presented at the 2nd International Conference on Artificial Intelligence and Applied Mathematics in Engineering held within 09-10-11 October 2020 at the Antalya, Manavgat (Turkey). The target audience of the book covers scientists, experts, M.Sc. and Ph.D. students, post-docs, and anyone interested in intelligent systems and their usage in different problem domains. The book is suitable to be used as a reference work in the courses associated with artificial intelligence and applied mathematics.

Author : Saber Elaydi,Mustafa R. S. Kulenović,Senada Kalabušić
Publisher : Springer Nature
Page : 534 pages
File Size : 42,6 Mb
Release : 2023-03-25
Category : Mathematics
ISBN : 9783031252259

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Advances in Discrete Dynamical Systems, Difference Equations and Applications by Saber Elaydi,Mustafa R. S. Kulenović,Senada Kalabušić Pdf

​This book comprises selected papers of the 26th International Conference on Difference Equations and Applications, ICDEA 2021, held virtually at the University of Sarajevo, Bosnia and Herzegovina, in July 2021. The book includes the latest and significant research and achievements in difference equations, discrete dynamical systems, and their applications in various scientific disciplines. The book is interesting for Ph.D. students and researchers who want to keep up to date with the latest research, developments, and achievements in difference equations, discrete dynamical systems, and their applications, the real-world problems.

Author : Marat Akhmet
Publisher : Springer
Page : 360 pages
File Size : 46,8 Mb
Release : 2019-06-20
Category : Technology & Engineering
ISBN : 9783030205720

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Almost Periodicity, Chaos, and Asymptotic Equivalence by Marat Akhmet Pdf

The central subject of this book is Almost Periodic Oscillations, the most common oscillations in applications and the most intricate for mathematical analysis. Prof. Akhmet's lucid and rigorous examination proves these oscillations are a "regular" component of chaotic attractors. The book focuses on almost periodic functions, first of all, as Stable (asymptotically) solutions of differential equations of different types, presumably discontinuous; and, secondly, as non-isolated oscillations in chaotic sets. Finally, the author proves the existence of Almost Periodic Oscillations (asymptotic and bi-asymptotic) by asymptotic equivalence between systems. The book brings readers' attention to contemporary methods for considering oscillations as well as to methods with strong potential for study of chaos in the future. Providing three powerful instruments for mathematical research of oscillations where dynamics are observable and applied, the book is ideal for engineers as well as specialists in electronics, computer sciences, robotics, neural networks, artificial networks, and biology. Distinctively combines results and methods of the theory of differential equations with thorough investigation of chaotic dynamics with almost periodic ingredients; Provides all necessary mathematical basics in their most developed form, negating the need for any additional sources for readers to start work in the area; Presents a unique method of investigation of discontinuous almost periodic solutions in its unified form, employed to differential equations with different types of discontinuity; Develops the equivalence method to its ultimate effective state such that most important theoretical problems and practical applications can be analyzed by the method.

Author : Zhi-Hong Guan,Bin Hu,Xuemin (Sherman) Shen
Publisher : Springer
Page : 292 pages
File Size : 49,9 Mb
Release : 2019-02-01
Category : Computers
ISBN : 9783030021610

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Introduction to Hybrid Intelligent Networks by Zhi-Hong Guan,Bin Hu,Xuemin (Sherman) Shen Pdf

This book covers the fundamental principles, new theories and methodologies, and potential applications of hybrid intelligent networks. Chapters focus on hybrid neural networks and networked multi-agent networks, including their communication, control and optimization synthesis. This text also provides a succinct but useful guideline for designing neural network-based hybrid artificial intelligence for brain-inspired computation systems and applications in the Internet of Things. Artificial Intelligence has developed into a deep research field targeting robots with more brain-inspired perception, learning, decision-making abilities, etc. This text devoted to a tutorial on hybrid intelligent networks that have been identified in nature and engineering, especially in the brain, modeled by hybrid dynamical systems and complex networks, and have shown potential application to brain-inspired intelligence. Included in this text are impulsive neural networks, neurodynamics, multiagent networks, hybrid dynamics analysis, collective dynamics, as well as hybrid communication, control and optimization methods. Graduate students who are interested in artificial intelligence and hybrid intelligence, as well as professors and graduate students who are interested in neural networks and multiagent networks will find this textbook a valuable resource. AI engineers and consultants who are working in wireless communications and networking will want to buy this book. Also, professional and academic institutions in universities and Mobile vehicle companies and engineers and managers who concern humans in the loop of IoT will also be interested in this book.