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

By S. Anita

the fabric of the current publication 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 vital parameters within the evolution of a bi­ ological inhabitants. no matter if for a truly lengthy interval age constitution has been thought of in basic terms in demography, these days it really is basic in epidemiology and ecology too. this is often the 1st e-book dedicated to the keep an eye on of constant age based populationdynamics.It specializes in the elemental houses ofthe strategies and at the regulate of age based inhabitants dynamics without or with diffusion. the most aim of this paintings is to familiarize the reader with an important difficulties, methods and leads to the mathematical idea of age-dependent versions. precise realization is given to optimum harvesting and to specified controllability difficulties, that are vitally important from the econom­ ical or ecological issues of view. We use a few new techniques and methods in sleek keep an eye on idea equivalent to Clarke's generalized gradient, Ekeland's variational precept, and Carleman estimates. The equipment and strategies we use will be utilized to different keep watch over problems.

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Analysis and Control of Age-Dependent Population Dynamics (Mathematical Modelling: Theory and Applications) by S. Anita

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