Ecological theory uses Brownian motion as a default template for describing ecological movement, despite limited mechanistic underpinning. The generality of Brownian motion has recently been challenged by empirical studies that highlight alternative movement patterns of animals, especially when foraging in resource-poor environments. Yet, empirical studies reveal animals moving in a Brownian fa...

The Lévy walk is found from amoebas to humans and has been described as the optimal strategy for food research. Recent results, however, have generated controversy about this conclusion since animals also display alternatives to the Lévy walk such as the Brownian walk or mental maps and because movement patterns found in some species only seem to depend on food patches distribution. Here I show...

Correspondence: [email protected] Department of Mathematics and Computer Science, Technical University Eindhoven, Eindhoven, The Netherlands Full list of author information is available at the end of the article Content We here discuss the Brownian bridge movement model in relation to state-space models. This is Additional file 1 of the paper Deriving movement properties and the effect of the e...

In this research various nonlinear fluid models have been introduced and the balloon movement in the porous arteries, including third-order non-Newtonian fluid, is described under the influence of the magnetic field. In order to solve the nonlinear equations governing the desired artery, an analytical method of approximation collocation and least squares are proposed. The effect of various para...

Widespread availability of location tracking devices leads to a rapidly increasing amount of movement data and to the need to analyse these data. These data typically consist of location measurements taken at discrete times, often with a non-negligible error margin in the measured locations. A low sampling rate leads to high uncertainty of the locations between the times at which these measurem...