Mathematical Modeling and Control in Life and Environmental Sciences
Regional Control Problems
Buch in deiner Nähe kaufen
Beschreibung
This monograph explores the use of mathematical modeling and control theory in a variety of contemporary challenges in mathematical biology and environmental sciences. Emphasizing an approach of learning by doing, the authors focus on a set of significant case studies emerging from real-world problems and illustrate how mathematical techniques and computational experiments can be employed in the search for sustainable solutions.
The following topics are extensively discussed:
- Eradicability and control of a paradigmatic epidemic model, with a view to the existence of endemic states, their stability, and the existence of travelling waves
- A spatially structured epidemic model concerning malaria as an example of vector-borne epidemics
- Optimal harvesting problems for space-structured and age-structured population dynamics
- Controlling epidemics in agriculture due to pest insects
- The role of predators as a possible biocontrol agent of epidemics in agriculture
- Control by taxation of the environmental pollution produced by human activities
Proofs are given whenever they may serve as a guide to the introduction of new concepts. Each chapter includes a comprehensive description of the numerical methods used for the computational experiments, and MATLAB© codes for many of the numerical simulations are available for download. Several challenging open problems are also provided to stimulate future research.
This text is aimed at mathematicians, engineers, and other scientists working in areas such as biology, medicine, and economics. Graduate and advanced undergraduate students of a quantitative subject related to the analysis and applications of dynamical systems and their control will also find it to be a valuable resource.
This monograph explores the use of mathematical modeling and control theory in a variety of contemporary challenges in mathematical biology and environmental sciences. Emphasizing an approach of learning by doing, the authors focus on a set of significant case studies emerging from real-world problems and illustrate how mathematical techniques and computational experiments can be employed in the search for sustainable solutions.
The following topics are extensively discussed:
- Eradicability and control of a paradigmatic epidemic model, with a view to the existence of endemic states, their stability, and the existence of travelling waves
- A spatially structured epidemic model concerning malaria as an example of vector-borne epidemics
- Optimal harvesting problems for space-structured and age-structured population dynamics
- Controlling epidemics in agriculture due to pest insects
- The role of predators as a possible biocontrol agent of epidemics in agriculture
- Control by taxation of the environmental pollution produced by human activities
Proofs are given whenever they may serve as a guide to the introduction of new concepts. Each chapter includes a comprehensive description of the numerical methods used for the computational experiments, and MATLAB© codes for many of the numerical simulations are available for download. Several challenging open problems are also provided to stimulate future research.
This text is aimed at mathematicians, engineers, and other scientists working in areas such as biology, medicine, and economics. Graduate and advanced undergraduate students of a quantitative subject related to the analysis and applications of dynamical systems and their control will also find it to be a valuable resource.
Explores the use of modeling and control theory in solving contemporary problems in the life and environmental sciences Utlizes many case studies to illustrate numerical and computational techniques MATLAB© codes for many of the numerical simulations are available to download
Autor*in
Sebastian Aniţa
Themen in »Mathematical Modeling and Control in Life and Environmental Sciences«
control in mathematical biology regional control problems for structured populations spatially structured epidemic model optimal harvesting problem mathematical control of epidemics in agriculture mathematical control of environmental pollution
Stimmen zu »Mathematical Modeling and Control in Life and Environmental Sciences«
“This book contains four parts and two appendices. The four parts, each attacking an important epidemiological or ecological problem … . The book is an irreplaceable tool for anyone working in the PDE modeling of epidemiological and ecological problems with an aim to optimal control.” (Andrei Halanay, Mathematical Reviews, August, 2025)
()