4 results match your criteria Acta Applicandae Mathematicae[Journal]

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The -Link Swimmer in Three Dimensions: Controllability and Optimality Results.

Acta Appl Math 2022 8;178(1). Epub 2022 Mar 8.

Dipartimento di Scienze Matematiche "G. L. Lagrange", Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129 Torino, Italy.

The controllability of a fully three-dimensional -link swimmer is studied. After deriving the equations of motion in a low Reynolds number fluid by means of Resistive Force Theory, the controllability of the minimal 2-link swimmer is tackled using techniques from Geometric Control Theory. The shape of the 2-link swimmer is described by two angle parameters. Read More

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One Dimensional Reduction of a Renewal Equation for a Measure-Valued Function of Time Describing Population Dynamics.

Acta Appl Math 2021 6;175(1):12. Epub 2021 Oct 6.

Mathematical Institute, Utrecht University, Utrecht, Netherlands.

Despite their relevance in mathematical biology, there are, as yet, few general results about the asymptotic behaviour of measure valued solutions of renewal equations on the basis of assumptions concerning the kernel. We characterise, via their kernels, a class of renewal equations whose measure-valued solution can be expressed in terms of the solution of a scalar renewal equation. The asymptotic behaviour of the solution of the scalar renewal equation, is studied via Feller's classical renewal theorem and, from it, the large time behaviour of the solution of the original renewal equation is derived. Read More

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October 2021

The Markov structure of population growth.

P Jagers

Acta Appl Math 1989 ;14(1-2):103-14

Some problems concerning the development of general models of population growth are examined, with particular reference to Markovian modelling. The tenet of the paper is that such models can be more realistically attempted by focusing on temporal rather than spatial modifications. Specifically, the time concept considered is linked to the dependent structure inherent in the partial order of descent from mother to child. Read More

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