How animals move along? Exactly solvable model of superdiffusive spread resulting from animal’s decision making
暂无分享,去创建一个
[1] Paulo F. C. Tilles,et al. Statistical mechanics of animal movement: Animals's decision-making can result in superdiffusive spread , 2015 .
[2] G. Pyke. Understanding movements of organisms: it's time to abandon the Lévy foraging hypothesis , 2015 .
[3] Andy M. Reynolds,et al. Mussels realize Weierstrassian Lévy walks as composite correlated random walks , 2014, Scientific Reports.
[4] J. Calabrese,et al. From Fine-Scale Foraging to Home Ranges: A Semivariance Approach to Identifying Movement Modes across Spatiotemporal Scales , 2014, The American Naturalist.
[5] Vincent A. A. Jansen,et al. Comment on “Lévy Walks Evolve Through Interaction Between Movement and Environmental Complexity” , 2012, Science.
[6] H. Stanley,et al. The Physics of Foraging: An Introduction to Random Searches and Biological Encounters , 2011 .
[7] F. Weissing,et al. Lévy Walks Evolve Through Interaction Between Movement and Environmental Complexity , 2011, Science.
[8] O. Ovaskainen,et al. Characteristic Spatial and Temporal Scales Unify Models of Animal Movement , 2011, The American Naturalist.
[9] V. Jansen,et al. Variation in individual walking behavior creates the impression of a Lévy flight , 2011, Proceedings of the National Academy of Sciences.
[10] J. M. Fryxell,et al. Foraging theory upscaled: the behavioural ecology of herbivore movement , 2010, Philosophical Transactions of the Royal Society B: Biological Sciences.
[11] F. Bartumeus,et al. Optimal search behavior and classic foraging theory , 2009 .
[12] P. Nouvellet,et al. Fundamental Insights into the Random Movement of Animals from a Single Distance‐Related Statistic , 2009, The American Naturalist.
[13] Sergei Petrovskii,et al. Dispersal in a Statistically Structured Population: Fat Tails Revisited , 2008, The American Naturalist.
[14] Nicolas E. Humphries,et al. Scaling laws of marine predator search behaviour , 2008, Nature.
[15] A. M. Edwards,et al. Revisiting Lévy flight search patterns of wandering albatrosses, bumblebees and deer , 2007, Nature.
[16] R. Menzel,et al. Displaced honey bees perform optimal scale-free search flights. , 2007, Ecology.
[17] N. Yoshida,et al. Estimation for the discretely observed telegraph process , 2006, math/0612784.
[18] A. Crescenzo,et al. ON THE EFFECT OF RANDOM ALTERNATING PERTURBATIONS ON HAZARD RATES , 2006, math/0701328.
[19] T. Geisel,et al. The scaling laws of human travel , 2006, Nature.
[20] J. Klafter,et al. Anomalous diffusion spreads its wings , 2005 .
[21] A. Einstein. Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen [AdP 17, 549 (1905)] , 2005, Annalen der Physik.
[22] F. Bartumeus,et al. Helical Lévy walks: Adjusting searching statistics to resource availability in microzooplankton , 2003, Proceedings of the National Academy of Sciences of the United States of America.
[23] Michel Baguette,et al. Long distance dispersal and landscape occupancy in a metapopulation of the cranberry fritillary butterfly , 2003 .
[24] Masakazu Shimada,et al. An individual-based model for sex-pheromone-oriented flight patterns of male moths in a local area , 2003 .
[25] H. Larralde,et al. Lévy walk patterns in the foraging movements of spider monkeys (Ateles geoffroyi) , 2003, Behavioral Ecology and Sociobiology.
[26] Ran Nathan,et al. The challenges of studying dispersal , 2001 .
[27] A. Hastings. Transient dynamics and persistence of ecological systems , 2001 .
[28] D. Kramer,et al. The Behavioral Ecology of Intermittent Locomotion1 , 2001 .
[29] D. Sornette. Critical Phenomena in Natural Sciences: Chaos, Fractals, Selforganization and Disorder: Concepts and Tools , 2000 .
[30] P. Driessche,et al. Dispersal data and the spread of invading organisms. , 1996 .
[31] Gillespie,et al. Exact numerical simulation of the Ornstein-Uhlenbeck process and its integral. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[32] P. A. Prince,et al. Lévy flight search patterns of wandering albatrosses , 1996, Nature.
[33] R. Balescu. Equilibrium and Nonequilibrium Statistical Mechanics , 1991 .
[34] E. Orsingher. Probability law, flow function, maximum distribution of wave-governed random motions and their connections with Kirchoff's laws , 1990 .
[35] H. Risken. The Fokker-Planck equation : methods of solution and applications , 1985 .
[36] Alan Hastings,et al. Dispersal strategies in patchy environments , 1984 .
[37] Benoit B. Mandelbrot,et al. Fractal Geometry of Nature , 1984 .
[38] P. Kareiva,et al. Local movement in herbivorous insects: applying a passive diffusion model to mark-recapture field experiments , 1983, Oecologia.
[39] P. Kareiva,et al. Analyzing insect movement as a correlated random walk , 1983, Oecologia.
[40] M. Kac. A stochastic model related to the telegrapher's equation , 1974 .
[41] W. Feller. An Introduction to Probability Theory and Its Applications , 1959 .
[42] P. Maini,et al. Dispersal, Individual Movement and Spatial Ecology A Mathematical Perspective , 2013 .
[43] Sergei Petrovskii,et al. Dispersal, Individual Movement and Spatial Ecology , 2013 .
[44] N. Shigesada,et al. Invasion and the range expansion of species : effects of long-distance dispersal , 2002 .
[45] P. Turchin. Quantitative Analysis Of Movement , 1998 .
[46] H. Othmer,et al. Models of dispersal in biological systems , 1988, Journal of mathematical biology.
[47] H. Risken. Fokker-Planck Equation , 1984 .
[48] S. Goldstein. ON DIFFUSION BY DISCONTINUOUS MOVEMENTS, AND ON THE TELEGRAPH EQUATION , 1951 .
[49] A. Einstein. On the movement of small particles suspended in a stationary liquid demanded by the molecular-kinetic theory of heart , 1905 .