This book surveys a wide variety of mathematical models of diffusion in the ecological context. With 114 figs 6 tab 254 pp.
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Mathematical models and computer simulations are useful experimental tools for building and testing theories assesing.
Diffusion and ecological problems mathematical models. The existence of a minimal patch size necessary to sustain a population the propagation of wavefronts corresponding to biological invasions and the. Mathematical models Biomathematics. Mathematical Models Biomathematics Volume 10.
Springer New York 254 pp. Springer-Verlag Berlin Heidelberg 1980. While building on the original text the revision has brought the subject well into the 21st century.
Themes hinted at in the original version have been developed and matured. The length has almost doubled and the number of references has tripled. They support three important types of ecological phenomena.
Bifurcation Approach to Analysis of Travelling Waves in Some TaxisCross-Diffusion Models - Volume 8 Issue 3. In 1952 the great mathematician Alan Turing proposed that under certain conditions chemicals can react and diffuse in such a way as to produce steady state heterogeneous spatial patterns of chemical or morphogen concentration. The process of formulating an ecological model is extremely helpful for organizing ones thinking bringing hidden assumptions to light.
Mbah Department of Chemical Engineering School of Engineering and Engineering Technology Federal University of Technology Owerri Imo State Nigeria. 10 Digital January 1 1980 by Akira Okubo Author. Dynamical aspects of animal grouping.
Springer-Verlag Berlin Heidelberg 1980. DM 78 US 4610. This book surveys a wide variety of mathematical models of diffusion in the ecological context.
Galdi Diffusion and ecological problems. Even if equations are not to your taste there is still much to enjoy. Diffusion and Ecological Problems.
Swarms schools flocks and herds. These models include modules for regional atmospheric thermohydrodynamics transport diffusion and transformation of gasses and aerosols as well as kinetic processes of nucleation condensationevaporation and coagulation. Diffusion and Ecological Problems.
It is written with the primary intent of providing scientists particularly physicists but also biologists with some background in the mathematics and physics of diffusion and shows how they can be applied to ecological problems. Several issues concerning the processing and performance of oxide ceramic coatings where stress diffusion and environmental stability effects are important are studied using experiments and mathematical modeling. Sep 01 2014 The study of spatial patterns in predatorprey system has long been one of the central problems in ecology.
Okubo Diffusion and ecological problems. Jun 01 1990 Diffusion and Ecological Problems Mathematical Models. The text is both clear and mathematically rigorous.
Part of the Lecture Notes in Mathematics book series LNM volume 1922 Reaction-diffusion equations are widely used as models for spatial effects in ecology. In the first set of problems oxidation and fracture issues in ceramic composites with porous oxide interphase coatings are addressed using a model SiCporous Al2. Mathematical Models 1980.
Mathematical models and computer simulations are useful. The mathematical treatment of the essential problem of ecology the investigation of the interrelations between the distribution and quantity of organisms and their environment h. To analyse such problems we use individual-based models to study the environmental and social forces leading to grouping.
Before his death Okubo asked that his notes on book changes and expansions be left. Mathematical Modeling and Simulation of a Diffusion Process in the Human Bloodstream IS. It is written with the primary intent of providing scientists particularly physicists but also biologists with some background of the mathematics and physics of diffusion and how they can be applied to ecological problems.
Biomathematics 10Springer-Verlag Berlin Heidelberg et New York 1980 XIII254pp. Describe these processes in solving environmental protection problems complex mathematical models are needed. Jan Lepš Folia Geobotanica et Phytotaxonomica volume 16 page 194 1981Cite this article.
Diffusion and Ecological Problems. ISBN 3540 Berlin 0387 New York 096205. Guckenheimer Dynamic Models in Biology.
Jun 01 1981 A. This is the posthumous second edition of Okubos Diffusion and Ecological Problems. Surveying a wide variety of mathematical models of diffusion in the ecological context this book is written with the primary intent of providing scientists particularly physicists but also biologists with some background of the mathematics and physics of diffusion and how they can be applied to ecological problems.
The models are then embedded in turbulent flow fields to gain an understanding of the interplay between the forces acting on the individuals and the transport induced by the fluid motion.
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