مدل‌های دینامیکی در زیست‌شناسی: مدل‌های دینامیکی در زیست‌شناسی

Dynamic Models in Biology offers an introduction to modern mathematical biology. This book provides a short introduction to modern mathematical methods in modeling dynamical phenomena and treats the broad topics of population dynamics, epidemiology, evolution, immunology, morphogenesis, and pattern formation. Primarily employing differential equations, the author presents accessible descriptions of difficult mathematical models. Recent mathematical results are included, but the author's presentation gives intuitive meaning to all the main formulae. Besides mathematicians who want to get acquainted with this relatively new field of applications, this book is useful for physicians, biologists, agricultural engineers, and environmentalists. Key Topics Include: Chaotic dynamics of populations The spread of sexually transmitted diseases Problems of the origin of life Models of immunology Formation of animal hide patterns The intuitive meaning of mathematical formulae explained with many figures Applying new mathematical results in modeling biological phenomena Miklos Farkas is a professor at Budapest University of Technology where he has researched and instructed mathematics for over thirty years. He has taught at universities in the former Soviet Union, Canada, Australia, Venezuela, Nigeria, India, and Columbia. Prof. Farkas received the 1999 Bolyai Award of the Hungarian Academy of Science and the 2001 Albert Szentgyorgyi Award of the Hungarian Ministry of Education. A 'down-to-earth' introduction to the growing field of modern mathematical biology Also includes appendices which provide background material that goes beyond advanced calculus and linear algebra A short introduction to modern mathematical methods used in modelling dynamical phenomena of populations. The methods presented in this book can be applied in solving and understanding real-world issues such as epidemic control and immunology in medicine, pest control in agriculture, and protection of the environment. Dynamical Models in Mathematical Biology provides the reader with a full explanation of all the necessary mathematics as well as the intuitive meaning of these formulae. So, besides mathematicians interested in biomathematics this volume is also to be recommended to physicians, b sdarticle 1.pdf......Page 1 sdarticle 2.pdf......Page 3 sdarticle 3.pdf......Page 18 sdarticle 4.pdf......Page 63 sdarticle 5.pdf......Page 78 sdarticle 6.pdf......Page 104 sdarticle 7.pdf......Page 123 sdarticle 8.pdf......Page 140 sdarticle 9.pdf......Page 154 sdarticle 10.pdf......Page 167 sdarticle 11.pdf......Page 174 sdarticle 12.pdf......Page 179 In a short introduction to modern mathematical models used in modelling dynamical phenomena of populations, the author shows how to apply these techniques to the study of epidemics, pest control in agriculture and protection of the environment use back cover copy

* A 'down-to-earth' introduction to the growing field of modern mathematical biology
* Also includes appendices which provide background material that goes beyond advanced calculus and linear algebra
Population dynamics looks at the problem of how the number, the quantity of a well-defined group of living creatures, a species or a system of species, that is, those that share a common habitat, varies in time.