Download Analysis and Control of Age-Dependent Population Dynamics by S. Anita PDF

By S. Anita

the fabric of the current e-book is an extension of a graduate direction given by way of the writer on the collage "Al.I. Cuza" Iasi and is meant for stu­ dents and researchers drawn to the purposes of optimum keep an eye on and in mathematical biology. Age is likely one of the most crucial parameters within the evolution of a bi­ ological inhabitants. whether for a really lengthy interval age constitution has been thought of in basic terms in demography, these days it really is primary in epidemiology and ecology too. this can be the 1st e-book dedicated to the keep an eye on of constant age dependent populationdynamics.It makes a speciality of the fundamental homes ofthe strategies and at the keep watch over of age established inhabitants dynamics without or with diffusion. the most aim of this paintings is to familiarize the reader with crucial difficulties, methods and ends up in the mathematical thought of age-dependent versions. unique recognition is given to optimum harvesting and to specific controllability difficulties, that are vitally important from the econom­ ical or ecological issues of view. We use a few new suggestions and strategies in glossy keep an eye on idea akin to Clarke's generalized gradient, Ekeland's variational precept, and Carleman estimates. The tools and methods we use might be utilized to different regulate problems.

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