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Vitaly Volpert - One of the best experts on this subject based on the ideXlab platform.
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spatio temporal pattern formation in Rosenzweig macarthur model effect of nonlocal interactions
Ecological Complexity, 2017Co-Authors: Malay Banerjee, Vitaly VolpertAbstract:Abstract Spatio-temporal pattern formation in reaction–diffusion models of interacting populations is an active area of research due to various ecological aspects. Instability of homogeneous steady-states can lead to various types of patterns, which can be classified as stationary, periodic, quasi-periodic, chaotic, etc. The reaction–diffusion model with Rosenzweig–MacArthur type reaction kinetics for prey–predator type interaction is unable to produce Turing patterns but some non-Turing patterns can be observed for it. This scenario changes if we incorporate non-local interactions in the model. The main objective of the present work is to reveal possible patterns generated by the reaction–diffusion model with Rosenzweig–MacArthur type prey–predator interaction and non-local consumption of resources by the prey species. We are interested in the existence of Turing patterns in this model and in the effect of the non-local interaction on the periodic travelling wave and spatio-temporal chaotic patterns. Global bifurcation diagrams are constructed to describe the transition from one pattern to another one.
Irene Kajon - One of the best experts on this subject based on the ideXlab platform.
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Tornare alle fonti nell’arte del tradurre. Scholem sull’jiddish, Rosenzweig sull’ebraico arabizzante
2020Co-Authors: Irene KajonAbstract:The article shows how for Scholem and Rosenzweig to translate a language which is used by the Jews in the Diaspora – like Jiddish or Arabic Hebrew – requires not only a deep knowledge of Hebrew but also of Jewish experience. If the translator does not understand what both Scholem and Rosenzweig consider the centre of Judaism, i.e. Messianism, his translation will appear cold and devoid of soul. The distance between the text to be translated and the present reader will be filled not so much by avoiding difficulties as by maintaining the unfamiliar character of the tales or poems, as if they were beyond time, while making them less extraneous.
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tornare alle fonti nell arte del tradurre scholem sull jiddish Rosenzweig sull ebraico arabizzante
Rivista Italiana di Filosofia del Linguaggio, 2014Co-Authors: Irene KajonAbstract:The article shows how for Scholem and Rosenzweig to translate a language which is used by the Jews in the Diaspora – like Jiddish or Arabic Hebrew – requires not only a deep knowledge of Hebrew but also of Jewish experience. If the translator does not understand what both Scholem and Rosenzweig consider the centre of Judaism, i.e. Messianism, his translation will appear cold and devoid of soul. The distance between the text to be translated and the present reader will be filled not so much by avoiding difficulties as by maintaining the unfamiliar character of the tales or poems, as if they were beyond time, while making them less extraneous.
Robert A. Van Gorder - One of the best experts on this subject based on the ideXlab platform.
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Turing Instability and Colony Formation in Spatially Extended Rosenzweig–MacArthur Predator–Prey Models with Allochthonous Resources
Bulletin of Mathematical Biology, 2019Co-Authors: Zhi Zhou, Robert A. Van GorderAbstract:While it is somewhat well known that spatial PDE extensions of the Rosenzweig–MacArthur predator–prey model do not admit spatial pattern formation through the Turing mechanism, in this paper we demonstrate that the addition of allochthonous resources into the system can result in spatial patterning and colony formation. We study pattern formation, through Turing and Turing–Hopf mechanisms, in two distinct spatial Rosenzweig–MacArthur models generalized to include allochthonous resources. Both models have previously been shown to admit heterogeneous spatial solutions when prey and allochthonous resources are confined to different regions of the domain, with the predator able to move between the regions. However, pattern formation in such cases is not due to the Turing mechanism, but rather due to the spatial separation between the two resources for the predator. On the other hand, for a variety of applications, a predator can forage over a region where more than one food source is present, and this is the case we study in the present paper. We first consider a three PDE model, consisting of equations for each of a predator, a prey, and an allochthonous resource or subsidy, with all three present over the spatial domain. The second model we consider arises in the study of two independent predator–prey systems in which a portion of the prey in the first system becomes an allochthonous resource for the second system; this is referred to as a predator–prey–quarry–resource–scavenger model. We show that there exist parameter regimes for which these systems admit Turing and Turing–Hopf bifurcations, again resulting in spatial or spatiotemporal patterning and hence colony formation. This is interesting from a modeling standpoint, as the standard spatially extended Rosenzweig–MacArthur predator–prey equations do not permit the Turing instability, and hence, the inclusion of allochthonous resources is one route to realizing colony formation under Rosenzweig–MacArthur kinetics. Concerning the ecological application, we find that spatial patterning occurs when the predator is far more mobile than the prey (reflected in the relative difference between their diffusion parameters), with the prey forming colonies and the predators more uniformly dispersed throughout the domain. We discuss how this spatially heterogeneous patterning, particularly of prey populations, may constitute one way in which the paradox of enrichment is resolved in spatial systems by way of introducing allochthonous resource subsidies in conjunction with spatial diffusion of predator and prey populations.
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turing instability and colony formation in spatially extended Rosenzweig macarthur predator prey models with allochthonous resources
Bulletin of Mathematical Biology, 2019Co-Authors: Zhi Zhou, Robert A. Van GorderAbstract:While it is somewhat well known that spatial PDE extensions of the Rosenzweig–MacArthur predator–prey model do not admit spatial pattern formation through the Turing mechanism, in this paper we demonstrate that the addition of allochthonous resources into the system can result in spatial patterning and colony formation. We study pattern formation, through Turing and Turing–Hopf mechanisms, in two distinct spatial Rosenzweig–MacArthur models generalized to include allochthonous resources. Both models have previously been shown to admit heterogeneous spatial solutions when prey and allochthonous resources are confined to different regions of the domain, with the predator able to move between the regions. However, pattern formation in such cases is not due to the Turing mechanism, but rather due to the spatial separation between the two resources for the predator. On the other hand, for a variety of applications, a predator can forage over a region where more than one food source is present, and this is the case we study in the present paper. We first consider a three PDE model, consisting of equations for each of a predator, a prey, and an allochthonous resource or subsidy, with all three present over the spatial domain. The second model we consider arises in the study of two independent predator–prey systems in which a portion of the prey in the first system becomes an allochthonous resource for the second system; this is referred to as a predator–prey–quarry–resource–scavenger model. We show that there exist parameter regimes for which these systems admit Turing and Turing–Hopf bifurcations, again resulting in spatial or spatiotemporal patterning and hence colony formation. This is interesting from a modeling standpoint, as the standard spatially extended Rosenzweig–MacArthur predator–prey equations do not permit the Turing instability, and hence, the inclusion of allochthonous resources is one route to realizing colony formation under Rosenzweig–MacArthur kinetics. Concerning the ecological application, we find that spatial patterning occurs when the predator is far more mobile than the prey (reflected in the relative difference between their diffusion parameters), with the prey forming colonies and the predators more uniformly dispersed throughout the domain. We discuss how this spatially heterogeneous patterning, particularly of prey populations, may constitute one way in which the paradox of enrichment is resolved in spatial systems by way of introducing allochthonous resource subsidies in conjunction with spatial diffusion of predator and prey populations.
Luc Anckaert - One of the best experts on this subject based on the ideXlab platform.
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nichts Rosenzweig ir il y a levinas problema kaip asmens tapatumo koreliatyvumas
Žmogus ir Žodis, 2018Co-Authors: Luc AnckaertAbstract:The relation between the abyss of death and the human identity is constitutive for the thought of the dialogical thinkers Rosenzweig and Levinas. For Rosenzweig, the Nothing is the end point of Kantian thinking. Death, as the existential experience of this nothingness, was the reality of everyman during the violent decades at the turn of the century. Rosenzweig took this nothingness as the starting point for rethinking and safeguarding human identity. Human identity is a dam against nothingness. But human identity is also open to alterity. In his early texts, Levinas makes a similar move. The there is is the starting point of human identity. Levinas develops a dialectical phenomenology starting from death. Human identity is interpreted as hypostasis. But in Totalite et Infi ni, an important shift takes place. The starting point is now found in human identity as desire. The there is comes to the centre as the flip side of the elementale and human identity is interpreted as separation. Keywords: Rosenzweig, Star of Redemption, Levinas, Totality and Infi nity, human identity, nothingness, there is, hypostasis, separation, Kant, Nietzsche, Meinecke, Schelling. DOI: http://dx.doi.org/10.15823/zz.2017.15
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„Nichts“ (Rosenzweig) ir „Il y a“ (Levinas) problema kaip asmens tapatumo koreliatyvumas
Žmogus ir Žodis, 2018Co-Authors: Luc AnckaertAbstract:The relation between the abyss of death and the human identity is constitutive for the thought of the dialogical thinkers Rosenzweig and Levinas. For Rosenzweig, the Nothing is the end point of Kantian thinking. Death, as the existential experience of this nothingness, was the reality of everyman during the violent decades at the turn of the century. Rosenzweig took this nothingness as the starting point for rethinking and safeguarding human identity. Human identity is a dam against nothingness. But human identity is also open to alterity. In his early texts, Levinas makes a similar move. The there is is the starting point of human identity. Levinas develops a dialectical phenomenology starting from death. Human identity is interpreted as hypostasis. But in Totalite et Infi ni, an important shift takes place. The starting point is now found in human identity as desire. The there is comes to the centre as the flip side of the elementale and human identity is interpreted as separation. Keywords: Rosenzweig, Star of Redemption, Levinas, Totality and Infi nity, human identity, nothingness, there is, hypostasis, separation, Kant, Nietzsche, Meinecke, Schelling. DOI: http://dx.doi.org/10.15823/zz.2017.15
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a critique of infinity Rosenzweig and levinas
2006Co-Authors: Luc AnckaertAbstract:Levinas writes that Rosenzweig is too present in his work to be cited. This cryptic suggestion is unfolded into an in-depth confrontation. Both philosophers implement the same speculative gesture. Rosenzweig writes in post-Hegelian times; Levinas's thinking is enriched by phenomenology and marked by the Holocaust. Their critical exploration of the relationship to the infinite offers radically new perspectives on the language, the time and the other. The confrontation raises serious questions. How is a concept of alterity possible without accepting an identity? What are the concealed presuppositions? The questions lead to a critical analysis that cautiously explores the boundaries of dialogical thinking. But it is also the expression of the esteem held for the strong power of inspiration. As such, this book is both a critique and a tribute to Rosenzweig and Levinas. The book contains an exhaustive bibliography of the comparative studies. The manuscript was gold awarded by the Teylers Fellowship of Haarlem (the Netherlands).
M Sieber - One of the best experts on this subject based on the ideXlab platform.
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eigenfunction distribution for the Rosenzweig porter model
Physical Review E, 2018Co-Authors: E Bogomolny, M SieberAbstract:The statistical distribution of eigenfunctions for the Rosenzweig-Porter model is derived for the region where eigenfunctions have fractal behaviour. The result is based on simple physical ideas and leads to transparent explicit formulas which agree very well with numerical calculations. It constitutes a rare case where a non-trivial eigenfunction distribution is obtained in a closed form.
