LEADER 03830nam 22007095 450 001 9910299964403321 005 20251113183005.0 010 $a81-322-1895-7 024 7 $a10.1007/978-81-322-1895-1 035 $a(CKB)3710000000112049 035 $a(EBL)1731516 035 $a(OCoLC)884592848 035 $a(SSID)ssj0001245953 035 $a(PQKBManifestationID)11670858 035 $a(PQKBTitleCode)TC0001245953 035 $a(PQKBWorkID)11329815 035 $a(PQKB)10494969 035 $a(MiAaPQ)EBC1731516 035 $a(DE-He213)978-81-322-1895-1 035 $a(PPN)178779997 035 $a(EXLCZ)993710000000112049 100 $a20140509d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aPeriodic Solutions of First-Order Functional Differential Equations in Population Dynamics /$fby Seshadev Padhi, John R. Graef, P. D. N. Srinivasu 205 $a1st ed. 2014. 210 1$aNew Delhi :$cSpringer India :$cImprint: Springer,$d2014. 215 $a1 online resource (155 p.) 300 $aDescription based upon print version of record. 311 08$a81-322-1894-9 320 $aIncludes bibliographical references. 327 $aChapter 1. Introduction -- Chapter 2. Positive Periodic Solutions of Nonlinear Functional Differential Equations with Parameter ? -- Chapter 3. Multiple Periodic Solutions of a System of Functional Differential Equations -- Chapter 4. Multiple Periodic Solutions of Nonlinear Functional Differential Equations -- Chapter 5. Asymptotic Behavior of Periodic Solutions of Differential Equations of First Order -- Bibliography. 330 $aThis book provides cutting-edge results on the existence of multiple positive periodic solutions of first-order functional differential equations. It demonstrates how the Leggett-Williams fixed-point theorem can be applied to study the existence of two or three positive periodic solutions of functional differential equations with real-world applications, particularly with regard to the Lasota-Wazewska model, the Hematopoiesis model, the Nicholsons Blowflies model, and some models with Allee effects. Many interesting sufficient conditions are given for the dynamics that include nonlinear characteristics exhibited by population models. The last chapter provides results related to the global appeal of solutions to the models considered in the earlier chapters. The techniques used in this book can be easily understood by anyone with a basic knowledge of analysis. This book offers a valuable reference guide for students and researchers in the field of differential equations with applications to biology, ecology, and the environment. 606 $aDifferential equations 606 $aMathematical analysis 606 $aBiomathematics 606 $aIntegral equations 606 $aDifferential Equations 606 $aAnalysis 606 $aMathematical and Computational Biology 606 $aIntegral Equations 615 0$aDifferential equations. 615 0$aMathematical analysis. 615 0$aBiomathematics. 615 0$aIntegral equations. 615 14$aDifferential Equations. 615 24$aAnalysis. 615 24$aMathematical and Computational Biology. 615 24$aIntegral Equations. 676 $a515 676 $a515.35 676 $a515/.352 700 $aPadhi$b Seshadev$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721184 702 $aGraef$b John R$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aSrinivasu$b P. D. N.$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910299964403321 996 $aPeriodic Solutions of First-Order Functional Differential Equations in Population Dynamics$92523470 997 $aUNINA