Trends in Biomathematics: Exploring Epidemics, Eco-Epidemiological Systems, and Optimal Control Strategies PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Trends in Biomathematics: Exploring Epidemics, Eco-Epidemiological Systems, and Optimal Control Strategies PDF full book. Access full book title Trends in Biomathematics: Exploring Epidemics, Eco-Epidemiological Systems, and Optimal Control Strategies by Rubem P. Mondaini. Download full books in PDF and EPUB format.
Author: Rubem P. Mondaini
Publisher: Springer Nature
ISBN: 3031590724
Category :
Languages : en
Pages : 364
Get Book Here
Book Description
Author: Rubem P. Mondaini
Publisher: Springer Nature
ISBN: 3031590724
Category :
Languages : en
Pages : 364
Get Book Here
Book Description
Author: Maira Aguiar
Publisher: Springer
ISBN: 9783030411220
Category : Mathematics
Languages : en
Pages : 243
Get Book Here
Book Description
This book disseminates the latest results and envisages new challenges in the application of mathematics to various practical situations in biology, epidemiology, and ecology. It comprises a collection of the main results presented at the Ninth Edition of the International Workshop “Dynamical Systems Applied to Biology and Natural Sciences – DSABNS”, held from 7 to 9 February 2018 at the Department of Mathematics, University of Turin, Italy. While the principal focus is ecology and epidemiology, the coverage extends even to waste recycling and a genetic application. The topics covered in the 12 peer-reviewed contributions involve such diverse mathematical tools as ordinary and partial differential equations, delay equations, stochastic equations, control, and sensitivity analysis. The book is intended to help both in disseminating the latest results and in envisaging new challenges in the application of mathematics to various practical situations in biology, epidemiology, and ecology.
Author: Praveen Agarwal
Publisher: Elsevier
ISBN: 0323905048
Category : Science
Languages : en
Pages : 344
Get Book Here
Book Description
Mathematical Analysis of Infectious Diseases updates on the mathematical and epidemiological analysis of infectious diseases. Epidemic mathematical modeling and analysis is important, not only to understand disease progression, but also to provide predictions about the evolution of disease. One of the main focuses of the book is the transmission dynamics of the infectious diseases like COVID-19 and the intervention strategies. It also discusses optimal control strategies like vaccination and plasma transfusion and their potential effectiveness on infections using compartmental and mathematical models in epidemiology like SI, SIR, SICA, and SEIR. The book also covers topics like: biodynamic hypothesis and its application for the mathematical modeling of biological growth and the analysis of infectious diseases, mathematical modeling and analysis of diagnosis rate effects and prediction of viruses, data-driven graphical analysis of epidemic trends, dynamic simulation and scenario analysis of the spread of diseases, and the systematic review of the mathematical modeling of infectious disease like coronaviruses. Offers analytical and numerical techniques for virus models Discusses mathematical modeling and its applications in treating infectious diseases or analyzing their spreading rates Covers the application of differential equations for analyzing disease problems Examines probability distribution and bio-mathematical applications
Author: Eric Shu Numfor
Publisher:
ISBN:
Category : Ecology
Languages : en
Pages : 212
Get Book Here
Book Description
Optimal control can be used to design intervention strategies for the control of infectious diseases and predator-prey systems. In this dissertation, we studied models encapsulating two relatively new areas of mathematical biology, which combine epidemiology with immunology and ecology. We formulated immuno-epidemiological models of coupled within-host model of ordinary differential equations and between-host model of ordinary differential equations and partial differential equations, using the Human Immunodeficiency Virus (HIV) for illustration, and set a framework for optimal control of immuno-epidemiological models. By constructing an iterative sequence from a representation formula for a solution to the linked model and using the fixed-point argument, existence and uniqueness of solution to the immuno-epidemiological model are obtained. An explicit expression for the basic reproduction number, R0 (R zero), of the linked model is derived, and local asymptotic and global stability results are obtained when R01, it is shown that the endemic equilibrium point is locally asymptotically stable. An optimal control problem with drug-treatment control on the within-host system is formulated and analyzed; these results are novel for optimal control of ODEs linked with such first order PDEs. Numerical simulations based on a forward-backward sweep method are obtained. Our analysis and control techniques give a new tool for investigating immuno-epidemiological models for other diseases. An eco-epidemiological model of predator and prey, motivated by cats and birds on the Marion Island, is formulated and analyzed. Basic and demographic reproduction numbers are obtained, and stability analysis of equilibria is investigated. An optimal control problem involving scalar and time-dependent controls is formulated and analyzed. Existence, characterization and uniqueness results are obtained. Numerical simulations based on a forward-backward sweep method illustrate the possibility of eradicating predators and conserving prey when a combination of control strategies are applied.
Author: Suzanne Lenhart
Publisher: CRC Press
ISBN: 1420011413
Category : Mathematics
Languages : en
Pages : 272
Get Book Here
Book Description
From economics and business to the biological sciences to physics and engineering, professionals successfully use the powerful mathematical tool of optimal control to make management and strategy decisions. Optimal Control Applied to Biological Models thoroughly develops the mathematical aspects of optimal control theory and provides insight into t
Author: N.V. Hritonenko
Publisher: Springer Science & Business Media
ISBN: 1441997334
Category : Mathematics
Languages : en
Pages : 225
Get Book Here
Book Description
The problems of interrelation between human economics and natural environment include scientific, technical, economic, demographic, social, political and other aspects that are studied by scientists of many specialities. One of the important aspects in scientific study of environmental and ecological problems is the development of mathematical and computer tools for rational management of economics and environment. This book introduces a wide range of mathematical models in economics, ecology and environmental sciences to a general mathematical audience with no in-depth experience in this specific area. Areas covered are: controlled economic growth and technological development, world dynamics, environmental impact, resource extraction, air and water pollution propagation, ecological population dynamics and exploitation. A variety of known models are considered, from classical ones (Cobb Douglass production function, Leontief input-output analysis, Solow models of economic dynamics, Verhulst-Pearl and Lotka-Volterra models of population dynamics, and others) to the models of world dynamics and the models of water contamination propagation used after Chemobyl nuclear catastrophe. Special attention is given to modelling of hierarchical regional economic-ecological interaction and technological change in the context of environmental impact. Xlll XIV Construction of Mathematical Models ...
Author: James D. Murray
Publisher: Springer Science & Business Media
ISBN: 0387224378
Category : Mathematics
Languages : en
Pages : 551
Get Book Here
Book Description
Mathematical Biology is a richly illustrated textbook in an exciting and fast growing field. Providing an in-depth look at the practical use of math modeling, it features exercises throughout that are drawn from a variety of bioscientific disciplines - population biology, developmental biology, physiology, epidemiology, and evolution, among others. It maintains a consistent level throughout so that graduate students can use it to gain a foothold into this dynamic research area.
Author: Kenneth Wilson
Publisher: Cambridge University Press
ISBN: 1107136563
Category : Mathematics
Languages : en
Pages : 693
Get Book Here
Book Description
Introduces readers to key case studies that illustrate how theory and data can be integrated to understand wildlife disease ecology.
Author: Franklin White
Publisher: Oxford University Press
ISBN: 0199876991
Category : Medical
Languages : en
Pages : 378
Get Book Here
Book Description
Amid ongoing shifts in the world economic and political order, the promise for future public health is tenuous. Will today's economic systems sustain tomorrow's health? Will future generations inherit fair access to health and health care? An important hope for the health of future generations is the establishment of a well-grounded, global public health system. Global Public Health: Ecological Foundations addresses both the challenges and cooperative solutions of contemporary public health, within a framework of social justice, environmental sustainability, and global cooperation. With an emphasis on ecological foundations, this book approaches public health principles-history, foundations, topics, and applications-with a community-oriented perspective. By achieving global reach through cooperative, community-based interventions, this text illustrates that the practical application of public health principles can help maintain the health of the world's people. Blending established wisdom with new perspectives, Global Public Health will stimulate better understanding of how the different streams of public health can work more synergistically to promote global health equity. It is a foundation for future public health measures to be built and to succeed.
Author: Andrea Rinaldo
Publisher: Cambridge University Press
ISBN: 1108477828
Category : Medical
Languages : en
Pages : 457
Get Book Here
Book Description
A summary of state-of-the-art research on how the river environment impacts biodiversity, species invasions, population dynamics, and the spread of waterborne disease. Blending laboratory, field and theoretical studies, it is the go-to reference for graduate students and researchers in river ecology, hydrology, and epidemiology.
