Download E-books Analysis and Control of Age-Dependent Population Dynamics (Mathematical Modelling: Theory and Applications Volume 11) PDF

The cloth of the current booklet is an extension of a graduate direction given by means of the writer on the collage "Al.I. Cuza" Iasi and is meant for stu­ dents and researchers attracted to the functions of optimum keep watch over and in mathematical biology. Age is among the most crucial parameters within the evolution of a bi­ ological inhabitants. whether for a truly lengthy interval age constitution has been thought of basically in demography, these days it really is primary in epidemiology and ecology too. this is often the 1st booklet dedicated to the regulate of continuing age based populationdynamics.It makes a speciality of the elemental houses ofthe options and at the keep watch over of age based inhabitants dynamics without or with diffusion. the most target of this paintings is to familiarize the reader with an important difficulties, techniques and ends up in the mathematical thought of age-dependent versions. unique consciousness is given to optimum harvesting and to targeted controllability difficulties, that are vitally important from the econom­ ical or ecological issues of view. We use a few new ideas and methods in glossy keep watch over idea resembling Clarke's generalized gradient, Ekeland's variational precept, and Carleman estimates. The equipment and methods we use will be utilized to different keep an eye on difficulties.

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