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000755165 020__ $$a9783319320434$$q(electronic book)
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000755165 0247_ $$a10.1007/978-3-319-32043-4$$2doi
000755165 035__ $$aSP(OCoLC)ocn949264634
000755165 035__ $$aSP(OCoLC)949264634
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000755165 1001_ $$aLewis, M.$$q(Mark),$$d1962-$$eauthor.
000755165 24514 $$aThe mathematics behind biological invasions$$h[electronic resource] /$$cMark A. Lewis, Sergei V. Petrovskii, Jonathan R. Potts.
000755165 264_1 $$aSwitzerland :$$bSpringer,$$c2016.
000755165 300__ $$a1 online resource (xvi, 362 pages) :$$billustrations.
000755165 336__ $$atext$$btxt$$2rdacontent
000755165 337__ $$acomputer$$bc$$2rdamedia
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000755165 4901_ $$aInterdisciplinary applied mathematics,$$x0939-6047 ;$$vvolume 44
000755165 504__ $$aIncludes bibliographical references and index.
000755165 506__ $$aAccess limited to authorized users.
000755165 520__ $$aThis book investigates the mathematical analysis of biological invasions. Unlike purely qualitative treatments of ecology, it draws on mathematical theory and methods, equipping the reader with sharp tools and rigorous methodology. Subjects include invasion dynamics, species interactions, population spread, long-distance dispersal, stochastic effects, risk analysis, and optimal responses to invaders. While based on the theory of dynamical systems, including partial differential equations and integrodifference equations, the book also draws on information theory, machine learning, Monte Carlo methods, optimal control, statistics, and stochastic processes. Applications to real biological invasions are included throughout. Ultimately, the book imparts a powerful principle: that by bringing ecology and mathematics together, researchers can uncover new understanding of, and effective response strategies to, biological invasions. It is suitable for graduate students and established researchers in mathematical ecology.
000755165 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed May 10, 2016).
000755165 650_0 $$aBiological invasions$$xMathematical models.
000755165 7001_ $$aPetrovskii, Sergei V.,$$eauthor.
000755165 7001_ $$aPotts, Jonathan R.$$eauthor.
000755165 830_0 $$aInterdisciplinary applied mathematics ;$$vv.44.
000755165 852__ $$bebk
000755165 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-32043-4$$zOnline Access$$91397441.1
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