LEADER 03556nam 22006375 450 001 9910349325703321 005 20251113190927.0 010 $a3-030-29294-0 024 7 $a10.1007/978-3-030-29294-2 035 $a(CKB)4100000009678314 035 $a(MiAaPQ)EBC5969383 035 $a(DE-He213)978-3-030-29294-2 035 $a(PPN)269146695 035 $a(EXLCZ)994100000009678314 100 $a20191030d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIntegrodifference Equations in Spatial Ecology /$fby Frithjof Lutscher 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (xvi, 385 pages) $cillustrations 225 1 $aInterdisciplinary Applied Mathematics,$x2196-9973 ;$v49 311 08$a3-030-29293-2 327 $aModels for Spatial Population Dynamics -- Modeling with Integrodifference Equations -- Critical Patch-Size -- Positive Steady States -- The Speed of Spatial Spread -- Spatial Spread with Allee Effect -- Modeling the Dispersal Process -- Computational Aspects -- Dispersal Success -- Approximations for Spread -- The Shape of Spatial Spread -- Applications -- Structured Populations -- Two Interacting Populations -- Spatial Variation -- Temporal Variation -- Further Topics and Related Models. . 330 $aThis book is the first thorough introduction to and comprehensive treatment of the theory and applications of integrodifference equations in spatial ecology. Integrodifference equations are discrete-time continuous-space dynamical systems describing the spatio-temporal dynamics of one or more populations. The book contains step-by-step model construction, explicitly solvable models, abstract theory and numerical recipes for integrodifference equations. The theory in the book is motivated and illustrated by many examples from conservation biology, biological invasions, pattern formation and other areas. In this way, the book conveys the more general message that bringing mathematical approaches and ecological questions together can generate novel insights into applications and fruitful challenges that spur future theoretical developments. The book is suitable for graduate students and experienced researchers in mathematical ecology alike. 410 0$aInterdisciplinary Applied Mathematics,$x2196-9973 ;$v49 606 $aMathematical physics 606 $aGeography$xMathematics 606 $aBiotic communities 606 $aPopulation biology 606 $aMathematical models 606 $aMathematical Physics 606 $aMathematics of Planet Earth 606 $aCommunity and Population Ecology 606 $aMathematical Modeling and Industrial Mathematics 615 0$aMathematical physics. 615 0$aGeography$xMathematics. 615 0$aBiotic communities. 615 0$aPopulation biology. 615 0$aMathematical models. 615 14$aMathematical Physics. 615 24$aMathematics of Planet Earth. 615 24$aCommunity and Population Ecology. 615 24$aMathematical Modeling and Industrial Mathematics. 676 $a515.35 700 $aLutscher$b Frithjof$4aut$4http://id.loc.gov/vocabulary/relators/aut$0781352 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910349325703321 996 $aIntegrodifference Equations in Spatial Ecology$91732508 997 $aUNINA