LEADER 04027nam 22007695 450 001 9910300389403321 005 20200703113600.0 010 $a3-319-07728-7 024 7 $a10.1007/978-3-319-07728-4 035 $a(CKB)3710000000125777 035 $a(EBL)1783070 035 $a(SSID)ssj0001276126 035 $a(PQKBManifestationID)11746192 035 $a(PQKBTitleCode)TC0001276126 035 $a(PQKBWorkID)11238507 035 $a(PQKB)11123995 035 $a(MiAaPQ)EBC1783070 035 $a(DE-He213)978-3-319-07728-4 035 $a(PPN)179768182 035 $a(EXLCZ)993710000000125777 100 $a20140604d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe Influence of Demographic Stochasticity on Population Dynamics $eA Mathematical Study of Noise-Induced Bistable States and Stochastic Patterns /$fby Tommaso Biancalani 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (123 p.) 225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 300 $aDescription based upon print version of record. 311 $a1-322-13687-4 311 $a3-319-07727-9 320 $aIncludes bibliographical references. 327 $aIntroduction -- Methods -- Noise-Induced Bistability -- Stochastic Waves on Regular Lattices -- Stochastic Waves on Complex Network -- Conclusions. 330 $aThe dynamics of population systems cannot be understood within the framework of ordinary differential equations, which assume that the number of interacting agents is infinite. With recent advances in ecology, biochemistry and genetics it is becoming increasingly clear that real systems are in fact subject to a great deal of noise. Relevant examples include social insects competing for resources, molecules undergoing chemical reactions in a cell and a pool of genomes subject to evolution. When the population size is small, novel macroscopic phenomena can arise, which can be analyzed using the theory of stochastic processes. This thesis is centered on two unsolved problems in population dynamics: the symmetry breaking observed in foraging populations, and the robustness of spatial patterns. We argue that these problems can be resolved with the help of two novel concepts: noise-induced bistable states and stochastic patterns. 410 0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 606 $aSociophysics 606 $aEconophysics 606 $aProbabilities 606 $aBiotic communities 606 $aBiophysics 606 $aBiophysics 606 $aData-driven Science, Modeling and Theory Building$3https://scigraph.springernature.com/ontologies/product-market-codes/P33030 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aCommunity & Population Ecology$3https://scigraph.springernature.com/ontologies/product-market-codes/L19120 606 $aBiological and Medical Physics, Biophysics$3https://scigraph.springernature.com/ontologies/product-market-codes/P27008 615 0$aSociophysics. 615 0$aEconophysics. 615 0$aProbabilities. 615 0$aBiotic communities. 615 0$aBiophysics. 615 0$aBiophysics. 615 14$aData-driven Science, Modeling and Theory Building. 615 24$aProbability Theory and Stochastic Processes. 615 24$aCommunity & Population Ecology. 615 24$aBiological and Medical Physics, Biophysics. 676 $a530.15950285 700 $aBiancalani$b Tommaso$4aut$4http://id.loc.gov/vocabulary/relators/aut$0791863 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300389403321 996 $aThe Influence of Demographic Stochasticity on Population Dynamics$92525348 997 $aUNINA