LEADER 04083nam 22006015 450 001 9910254280403321 005 20200704172826.0 010 $a3-319-56433-1 024 7 $a10.1007/978-3-319-56433-3 035 $a(CKB)3710000001176223 035 $a(DE-He213)978-3-319-56433-3 035 $a(MiAaPQ)EBC4840979 035 $a(PPN)200513028 035 $a(EXLCZ)993710000001176223 100 $a20170412d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDynamical Systems in Population Biology /$fby Xiao-Qiang Zhao 205 $a2nd ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XV, 413 p.) 225 1 $aCMS Books in Mathematics, Ouvrages de mathématiques de la SMC,$x1613-5237 311 $a3-319-56432-3 320 $aIncludes bibliographical references and index. 327 $aDissipative Dynamical Systems -- Monotone Dynammics -- Nonautonomous Semiflows -- A Discrete-Time Chemostat Model -- N-Species Competition in a Periodic Chemostat -- Almost Periodic Competitive Systems -- Competitor-Competitor-Mutualist Systems -- A Periodically Pulsed Bioreactor Model -- A Nonlocal and Delayed Predator-Prey Model -- Traveling Waves in Bistable Nonlinearities -- The Theory of Basic Reproduction Ratios -- A Population Model with Periodic Delay -- A Periodic Reaction-Diffusion SIS Model -- A Nonlocal Spatial Model for Lyme Disease. 330 $aThis research monograph provides an introduction to the theory of nonautonomous semiflows with applications to population dynamics. It develops dynamical system approaches to various evolutionary equations such as difference, ordinary, functional, and partial differential equations, and pays more attention to periodic and almost periodic phenomena. The presentation includes persistence theory, monotone dynamics, periodic and almost periodic semiflows, basic reproduction ratios, traveling waves, and global analysis of prototypical population models in ecology and epidemiology. Research mathematicians working with nonlinear dynamics, particularly those interested in applications to biology, will find this book useful. It may also be used as a textbook or as supplementary reading for a graduate special topics course on the theory and applications of dynamical systems. Dr. Xiao-Qiang Zhao is a University Research Professor at Memorial University of Newfoundland, Canada. His main research interests involve applied dynamical systems, nonlinear differential equations, and mathematical biology. He is the author of more than 100 papers, and his research has played an important role in the development of the theory and applications of monotone dynamical systems, periodic and almost periodic semiflows, uniform persistence, and basic reproduction ratios. 410 0$aCMS Books in Mathematics, Ouvrages de mathématiques de la SMC,$x1613-5237 606 $aDynamics 606 $aErgodic theory 606 $aMathematics 606 $aBiomathematics 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aMathematics of Planet Earth$3https://scigraph.springernature.com/ontologies/product-market-codes/M36000 606 $aGenetics and Population Dynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/M31010 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aMathematics. 615 0$aBiomathematics. 615 14$aDynamical Systems and Ergodic Theory. 615 24$aMathematics of Planet Earth. 615 24$aGenetics and Population Dynamics. 676 $a577.88 700 $aZhao$b Xiao-Qiang$4aut$4http://id.loc.gov/vocabulary/relators/aut$0481542 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254280403321 996 $aDynamical systems in population biology$9252610 997 $aUNINA