Stavros Busenberg – författare

Differential Equations and Applications in Ecology, Epidemics, and Population Problems is composed of papers and abstracts presented at the 1981 research conference on Differential Equations and Applications to Ecology, Epidemics, and Population Problems held at Harvey Mudd College. The reported researches consist of mathematics that is either a direct outgrowth from questions in population biology and biomathematics, or applicable to such questions. The content of this volume are collected in four groups. The first group addresses aspects of population dynamics that involve the interaction between spatial and temporal effects. The second group covers other questions in population dynamics and some other areas of biomathematics. The third group deals with topics in differential and functional differential equations that are continuing to find important applications in mathematical biology. The last group comprises of work on various aspects of differential equations and dynamical systems, not essentially motivated by biological applications. This book is valuable to students and researchers in theoretical biology and biomathematics, as well as to those interested in modern applications of differential equations.

The 1990 CIME course on Mathematical Modelling of IndustrialProcesses set out to illustrate some advances in questionsof industrial mathematics, i.e.of the applications ofmathematics (with all its "academic" rigour) to real-lifeproblems.The papers describe the genesis of the models and illustratetheir relevant mathematical characteristics. Among thethemesdealt with are: thermally controlled crystal growth,thermal behaviour of a high-pressure gas-discharge lamp, thesessile-drop problem, etching processes, the batch-coil-annealing process, inverse problems in classical dynamics,image representation and dynamical systems, scintillation inrear projections screens, identification of semiconductorproperties,pattern recognition with neural networks.CONTENTS: H.K. Kuiken: Mathematical Modelling of IndustrialProcesses.- B. Forte: Inverse Problems in Mathematics forIndustry.- S. Busenberg: Case Studies in IndustrialMathematics.

The meeting explored current directions of research in delay differential equations and related dynamical systems and celebrated the contributions of Kenneth Cooke to this field on the occasion of his 65th birthday. The volume contains three survey papers reviewing three areas of current research and seventeen research contributions. The research articles deal with qualitative properties of solutions of delay differential equations and with bifurcation problems for such equations and other dynamical systems. A companion volume in the biomathematics series (LN in Biomathematics, Vol. 22) contains contributions on recent trends in population and mathematical biology.

This volume contains the results of a conference which explored current directions of research in delay differential equations and related dynamical systems and celebrated the contributions of Kenneth Cooke to this field on the occasion of his 65th birthday. The research articles deal with qualitative properties of solutions of delay differential equations and with bifurcation problems for such equations and other dynamical systems.

The past forty years have been the stage for the maturation of mathematical biolo~ as a scientific field. The foundations laid by the pioneers of the field during the first half of this century have been combined with advances in ap­ plied mathematics and the computational sciences to create a vibrant area of scientific research with established research journals, professional societies, deep subspecialty areas, and graduate education programs. Mathematical biology is by its very nature cross-disciplinary, and research papers appear in mathemat­ ics, biology and other scientific journals, as well as in the specialty journals devoted to mathematical and theoretical biology. Multiple author papers are common, and so are collaborations between individuals who have academic bases in different traditional departments. Those who seek to keep abreast of current trends and problems need to interact with research workers from a much broader spectrum of fields than is common in the traditional mono-culture disciplines. Consequently, it is beneficial to have occasions which bring together significant numbers of workers in this field in a forum that encourages the exchange of ideas and which leads to a timely publication of the work that is presented. Such an occasion occurred during January 13 to 16, 1990 when almost two hun­ dred research workers participated in an international conference on Differential Equations and Applications to Biology and Population Dynamics which was held in Claremont.

The 1990 CIME course on Mathematical Modelling of Industrial Processes set out to illustrate some advances in questions of industrial mathematics, for example the application of mathematics to real-life problems. The papers contained in this volume describe the genesis of the models and illustrate their relevant mathematical characteristics. Among the themes dealt with are thermally controlled crystal growth, thermal behaviour of a high-pressure gas-discharge lamp, the sessile-drop problem, etching processes, the batch-coil-annealing process, inverse problems in classical dynamics, image representation and dynamical systems, scintillation in rear projections screens, identification of semiconductor properties, and pattern recognition with neural networks.

The past forty years have been the stage for the maturation of mathematical biolo~ as a scientific field. The foundations laid by the pioneers of the field during the first half of this century have been combined with advances in ap­ plied mathematics and the computational sciences to create a vibrant area of scientific research with established research journals, professional societies, deep subspecialty areas, and graduate education programs. Mathematical biology is by its very nature cross-disciplinary, and research papers appear in mathemat­ ics, biology and other scientific journals, as well as in the specialty journals devoted to mathematical and theoretical biology. Multiple author papers are common, and so are collaborations between individuals who have academic bases in different traditional departments. Those who seek to keep abreast of current trends and problems need to interact with research workers from a much broader spectrum of fields than is common in the traditional mono-culture disciplines. Consequently, it is beneficial to have occasions which bring together significant numbers of workers in this field in a forum that encourages the exchange of ideas and which leads to a timely publication of the work that is presented. Such an occasion occurred during January 13 to 16, 1990 when almost two hun­ dred research workers participated in an international conference on Differential Equations and Applications to Biology and Population Dynamics which was held in Claremont.

Infectious diseases are transmitted through variousdifferent mechanisms including person to personinteractions, by insect vectors and via verticaltransmission from a parent to an unborn offspring. Thepopulation dynamics of such disease transmission can be verycomplicated and the development of rational strategies forcontrolling and preventing the spread of these diseasesrequires careful modeling and analysis.The book describes current methods for formulating modelsand analyzing the dynamics of the propagation of diseaseswhich include vertical transmission as one of the mechanismsfor their spread. Generic models that describe broad classesof diseases as well as models that are tailored to thedynamics of a specific infection are formulated andanalyzed. The effects of incubation periods, maturationdelays, and age-structure, interactions between diseasetransmission and demographic changes, population crowding,spatial spread, chaotic dynamic behavior, seasonalperiodicities and discrete time interval events are studiedwithin the context of specific disease transmission models.No previous background in disease transmission modeling andanalysis is assumedand the required biological concepts andmathematical methods are gradually introduced within thecontext of specific disease transmission models. Graphs arewidely used to illustrate and explain the modelingassumptions and results.REMARKS: NOTE: the authors have supplied variants on thepromotion text that are more suitable for promotionindifferent fields (by virtue of different emphasis in thecontent). They are not enclosed, but in the mathematicseditorial.