| Record ID | ia:exactlysolvablem0000petr |
| Source | Internet Archive |
| Download MARC XML | https://archive.org/download/exactlysolvablem0000petr/exactlysolvablem0000petr_marc.xml |
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020 $a1420034960$q(electronic bk.)
020 $a9781420034967$q(electronic bk.)
020 $a9781584885214$q(Hardcover ;$qalk. paper)
020 $a1584885211$q(Hardcover ;$qalk. paper)
020 $a1280512970
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049 $aZCUA
100 1 $aPetrovskii, Sergei V.
245 10 $aExactly solvable models of biological invasion /$cSergei V. Petrovskii and Bai-Lian Li.
260 $aBoca Raton :$bChapman & Hall/CRC,$c2006.
300 $a1 online resource (217 pages) :$billustrations, map.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
490 1 $aChapman & Hall/CRC mathematical biology and medicine series
504 $aIncludes bibliographical references (pages 205-214).
588 0 $aPrint version record.
505 0 $aINTRODUCTION; Why exactly solvable models are important; Intra- and inter-species interactions and local population dynamics; Basic mechanisms of species transport; Biological invasion: main facts and constituting examples; MODELS OF BIOLOGICAL INVASION; Diffusion-reaction equations; Integral-difference models; Space-discrete models; Stochastic models; Concluding remarks; BASIC METHODS AND RELEVANT EXAMPLES; The Cole-Hopf transformation and the Burgers equation as a paradigm; Further application of the Cole-Hopf transformation; Method of piecewise linear approximation; Exact solutions of a generalized Fisher equation; More about ansatz; SINGLE-SPECIES MODELS; Impact of advection and migration; Accelerating population waves; The problem of critical aggregation; DENSITY-DEPENDENT DIFFUSION; The Aronson-Newman solution and its generalization; Stratified diffusion and the Allee effect; MODELS OF INTERACTING POPULATIONS; Exact solution for a diffusive predator-prey system; Migration waves in a resource-consumer system; SOME ALTERNATIVE AND COMPLEMENTARY APPROACHES; Wave speed and the eigenvalue problem; Convergence of the initial conditions; Convergence and the paradox of linearization; Application of the comparison principle; ECOLOGICAL EXAMPLES AND APPLICATIONS; Invasion of Japanese beetle in the United States; Mount St. Helens recolonization and the impact of predation; Stratified diffusion and rapid plant invasion; APPENDIX: BASIC BACKGROUND MATHEMATICS; Ordinary differential equations and their solutions; Phase plane and stability analysis; Diffusion equation; ; References; Index.
650 0 $aBiological invasions$xMathematical models.
650 6 $aInvasions biologiques$xModèles mathématiques.
650 7 $aSCIENCE$xEnvironmental Science (see also Chemistry$xEnvironmental)$2bisacsh
650 7 $aNATURE$xEcosystems & Habitats$xWilderness.$2bisacsh
650 7 $aNATURE$xEcology.$2bisacsh
650 7 $aSCIENCE$xLife Sciences$xEcology.$2bisacsh
650 7 $aBiological invasions$xMathematical models.$2fast$0(OCoLC)fst00832258
655 0 $aElectronic books.
655 4 $aElectronic books.
700 1 $aLi, Bai-Lian.
776 08 $iPrint version:$aPetrovskii, Sergei V.$tExactly solvable models of biological invasion.$dBoca Raton : Chapman & Hall/CRC, 2006$z1584885211$w(DLC) 2005048466$w(OCoLC)60500377
830 0 $aChapman & Hall/CRC mathematical biology and medicine series.
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio14707279$zTaylor & Francis eBooks
852 8 $blweb$hEBOOKS