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Diffusion and Home Range Parameters from Rodent Population Measurements in Panama
Luca Giuggioli,Guillermo Abramson,Guillermo Abramson,V. M. Kenkre,Gerardo Suzán,Erika Marcé,Terry L. Yates +6 more
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TLDR
The study gives impetus to a substantial modification of existing theory of the spread of the Hantavirus epidemic which has been based on simple diffusive motion of the rodents, and additionally emphasizes the importance for developing more accurate techniques for the measurement of rodent movement.Abstract:
Simple random walk considerations are used to interpret rodent population data collected in Hantavirus-related investigations in Panama regarding the short-tailed cane mouse, \emph{Zygodontomys brevicauda}. The diffusion constant of mice is evaluated to be of the order of (and larger than) 200 meters squared per day. The investigation also shows that the rodent mean square displacement saturates in time, indicating the existence of a spatial scale which could, in principle, be the home range of the rodents. This home range is concluded to be of the order of 70 meters. Theoretical analysis is provided for interpreting animal movement data in terms of an interplay of the home ranges, the diffusion constant, and the size of the grid used to monitor the movement. The study gives impetus to a substantial modification of existing theory of the spread of the Hantavirus epidemic which has been based on simple diffusive motion of the rodents, and additionally emphasizes the importance for developing more accurate techniques for the measurement of rodent movement.read more
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Animal interactions and the emergence of territoriality.
TL;DR: It is found that the key parameters controlling territoriality are two: the average territory size, i.e. the inverse of the population density, and the time span during which animal scent marks remain active, which is proportional to the time necessary for an animal to move between its own territorial boundaries.
Journal ArticleDOI
Theory of home range estimation from displacement measurements of animal populations.
Luca Giuggioli,Guillermo Abramson,Guillermo Abramson,V. M. Kenkre,Robert R. Parmenter,Terry L. Yates +5 more
TL;DR: A theory is provided for the estimation of home ranges of animals from displacement measurement procedures using the Fokker-Planck equation, its characteristic quantities being the diffusion constant which describes the motion of the animals and the attractive potential which addresses their tendency to live in restricted regions.
Journal ArticleDOI
Stochastic processes subject to a reset-and-residence mechanism: transport properties and first arrival statistics
TL;DR: In this paper, the authors consider a stochastic movement process with random resets to the origin followed by a random residence time there before the walker restarts its motion and derive an expression for the mean square displacement of the overall process and study its dependence with the statistical properties of the resets, the residence and the movement.
Journal ArticleDOI
Theory of hantavirus infection spread incorporating localized adult and itinerant juvenile mice
TL;DR: In this article, a generalized model of the spread of the Hantavirus in mice populations is presented on the basis of recent observational findings concerning the movement characteristics of the mice that carry the infection.
Book ChapterDOI
Modeling spatial spread of communicable diseases involving animal hosts
TL;DR: This chapter reviews some previous studies on modeling spatial spread of specific communicable diseases involving animal hosts using Reaction-diffusion equations to model these diseases due to movement of animal hosts.
References
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Genetic identification of a hantavirus associated with an outbreak of acute respiratory illness
Stuart T. Nichol,Christina F. Spiropoulou,Sergey P. Morzunov,Pierre E. Rollin,Thomas G. Ksiazek,Heinz Feldmann,Anthony Sanchez,James E. Childs,Sherif R. Zaki,Clarence J. Peters +9 more
TL;DR: A mysterious respiratory illness with high mortality was recently reported in the southwestern United States and nucleotide sequence analysis revealed the associated virus to be a new hantavirus and provided a direct genetic link between infection in patients and rodents.
Journal ArticleDOI
Hantaviruses: A Global Disease Problem
TL;DR: Their ubiquity and potential for causing severe human illness make these viruses an important public health concern; the distribution, ecology, disease potential, and genetic spectrum are reviewed.
Journal ArticleDOI
Serologic and Genetic Identification of Peromyscus maniculatus as the Primary Rodent Reservoir for a New Hantavirus in the Southwestern United States
James E. Childs,Thomas G. Ksiazek,Christina F. Spiropoulou,John W. Krebs,Sergey P. Morzunov,Gary O. Maupin,Kenneth L. Gage,Pierre E. Rollin,John Sarisky,Russell E. Enscore,Jennifer K. Frey,C. J. Peters,Stuart T. Nichol +12 more
TL;DR: The numeric dominance of P. maniculatus, the high prevalence of antibody, and the RT-PCR findings implicate this species as the primary rodent reservoir for a new hantavirus in the southwestern United States.
Journal ArticleDOI
The Home Range: A New Nonparametric Estimation Technique
TL;DR: In this article, the Fourier transform is used to estimate the home range in a probabilistic sense, making no assumption about the underlying distribution, and therefore is nonparametric.