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The Lotka-Volterra and the Kermack-McKendrick models are well celebrated and widely recognized in the field of ecology and epidemiology. Several modified ordinary differential equation models have been proposed over the last many decades to rationalize complex biological phenomena. In the current century, researchers have paid much attention to developing new modeling frameworks with delay differential equations, difference equations, fractional order systems, stochastic differential equations, etc. No doubt, these models have emerged many new bifurcations theory and methods which have equally contributed to the advances of Mathematics and interdisciplinary research. It is argued that these ...
Applications of Fractional Calculus to Modeling in Dynamics and Chaos aims to present novel developments, trends, and applications of fractional-order derivatives with power law and Mittag-Leffler kernel in the areas of chemistry, mechanics, chaos, epidemiology, fluid mechanics, modeling, and engineering. Non-singular and non-local fractional-order derivatives have been applied in different chapters to describe complex problems. The book offers theory and practical applications for the solutions of real-life problems and will be of interest to graduate-level students, educators, researchers, and scientists interested in mathematical modeling and its diverse applications. Features Discusses real-world problems, theory, and applications Covers new developments and advances in the various areas of nonlinear dynamics, signal processing, and chaos Suitable to teach master’s and/or PhD-level graduate students, and can be used by researchers, from any field of the social, health, and physical sciences
The International Chair in Mathematical Physics and Applications (ICMPA - UNESCO chair), University of Abomey-Calavi, Benin, and the Center for Applied Mathematics of the Faculty of Mechanical Engineering Niš, CAM-FMEN, organized a webinar on Mathematics for human flourishing in the time of COVID-19 and post COVID-19, 21 October 2020, supported by the City of Niš. The objectives of the webinar were to give precise information about the work that scientists do to cure the disease, to push forward technology, to understand our society and create new expressions of humanity, and to question the role of mathematics in the responses to this pandemic.
This volume gathers together selected peer-reviewed works presented at the BIOMAT 2022 International Symposium, which was virtually held on November 7-11, 2022, with an organization staff based in Rio de Janeiro, Brazil. Topics touched on in this volume include infection spread in a population described by an agent-based approach; the study of gene essentiality via network-based computational modeling; stochastic models of neuronal dynamics; and the modeling of a statistical distribution of amino acids in protein domain families. The reader will also find texts in epidemic models with dynamic social distancing; with no vertical transmission; and with general incidence rates. Aspects of COVID...
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Neurocutaneous Syndromes provides the most updated and comprehensive resource on the disorders that lead to the growth of tumors in various parts of the body, those caused by the abnormal development of cells in an embryo and characterized by the presence of tumors in various parts of the body and eyes, including the nervous system, and by certain differences in the skin. The most common neurocutaneous syndromes include, neurofibromatosis, Sturge-Weber syndrome, tuberous sclerosis, ataxia-telangiectasia, and von Hippel-Lindau disease. Symptoms vary widely and while present early may not express until later in life. As molecular medicine and genetic science is continuing to impact our understanding of neurocutaneous syndromes, this book also includes the latest molecular and genetic science. - Provides a comprehensive coverage of neurocutaneous syndromes - Details the latest molecular and genetic science related to neurocutaneous syndromes - Presents a focused reference for clinical practitioners and the neuroscience, clinical neurology, and neurogenetics research communities - Includes updated sections on the latest molecular and genetic science
During the COVID-19 pandemic, many people had to cope with isolation due to lockdown policies that forced them to engage in fewer social activities. People were confined to the small space of their dwellings and felt constrained and socially isolated and deprived of meaningful social interaction and affection, which caused stress and anxiety. Several initiatives were put in place to help diminish the effects of isolation, such as those involving literature either through writing or reading. Managing Pandemic Isolation With Literature as Therapy explains the positive medical and psychological effects of literature and writing during a pandemic at a time when isolation prevented people from engaging with others socially. Covering topics such as clinical psychology, brain neurology, and stress, this reference work is ideal for psychologists, medical professionals, policymakers, government officials, researchers, scholars, academicians, practitioners, instructors, and students.