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Dispersal towards food: the singular limit of an Allen–Cahn equation
Hilhorst, D.,Kim, Y. J.,Kwon, D.,Nguyen, T. N. Springer Science + Business Media 2018 Journal of mathematical biology Vol.76 No.3
<P>The effect of dispersal under heterogeneous environment is studied in terms of the singular limit of an Allen-Cahn equation. Since biological organisms often slow down their dispersal if food is abundant, a food metric diffusion is taken to include such a phenomenon. The migration effect of the problem is approximated by a mean curvature flow after taking the singular limit which now includes an advection term produced by the spatial heterogeneity of food distribution. It is shown that the interface moves towards a local maximum of the food distribution. In other words, the dispersal taken in the paper is not a trivialization process anymore, but an aggregation one towards food.</P>
Large time behavior and Lyapunov functionals for a nonlocal differential equation
Hilhorst, Danielle,Laurenç,ot, Philippe,Nguyen, Thanh-Nam Springer-Verlag 2016 Nonlinear differential equations and applications Vol.23 No.3
<P>A new approach is used to describe the large time behavior of the nonlocal differential equation initially studied in T.-N. Nguyen (On the omega-limit set of a nonlocal differential equation: application of rearrangement theory. Differ. Integr. Equ. arXiv:1601.06491, 2016). Our approach is based upon the existence of infinitely many Lyapunov functionals and allows us to extend the analysis performed in T.-N. Nguyen (On the omega-limit set of a nonlocal differential equation: application of rearrangement theory. Differ. Integr. Equ. arXiv:1601.06491, 2016).</P>
Diffusive and inviscid traveling waves of the Fisher equation and nonuniqueness of wave speed
Hilhorst, D.,Kim, Y.J. Pergamon Press ; Elsevier Science Ltd 2016 APPLIED MATHEMATICS LETTERS Vol.60 No.-
<P>In this paper we present an intuitive explanation for the non-uniqueness of the traveling wave speed in the Fisher equation, showing a similar non-uniqueness property in the case of inviscid traveling waves. More precisely, we prove that traveling waves of the Fisher equation with wave speed c > 0 converge to the inviscid traveling wave with speed. c > 0 as the diffusion vanishes. A complete diagram that shows the relation between the diffusive and inviscid traveling waves is given in this paper. (c) 2016 Elsevier Ltd. All rights reserved.</P>
Outside the net: Intersectionality and inequality in the fisheries of Trincomalee, Sri Lanka
Gayathri Lokuge,Dorothea Hilhorst 이화여자대학교 아시아여성학센터 2017 Asian Journal of Women's Studies(AJWS) Vol.23 No.4
Inequality and conflict in Sri Lanka have frequently been analyzed along ethnic lines. However, many scholars have stressed the importance of other dimensions of identity, such as gender, caste and class, in studying social tension. This study uses intersectionality theory to examine how a combination of the social categories of gender, race, ethnicity and location creates structural inequality. This article draws upon in-depth research on Muslim, Tamil, Sinhalese and indigenous/Veder women who catch and market fish in the conflict-affected eastern district of Trincomalee, Sri Lanka. The focus was on intra-group differences among these women and the different sources of power they use to subvert existing power structures. Although multiple inequalities affected the respondents’ daily lives and participation in activities, they were not passive victims; they used their own agency to negotiate for their livelihoods. Nevertheless, the women who comprise the focus of this study appeared to be completely invisible to government fisheries management bodies. The lack of institutional representation has disadvantaged them in their negotiations for space to engage in livelihood activities. Registration of these women by the government department of fisheries among those who make a living from fishing would provide them with a first measure of recognition and empowerment, strengthening their chances of negotiating access to the fishery livelihood resources.