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010   $a81-322-1895-7
024 7 $a10.1007/978-81-322-1895-1
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035   $a(EBL)1731516
035   $a(OCoLC)884592848
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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$b[electronic resource] /$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   $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   $aAnalysis (Mathematics)
606   $aBiomathematics
606   $aIntegral equations
606   $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147
606   $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007
606   $aMathematical and Computational Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/M31000
606   $aIntegral Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12090
615  0$aDifferential equations.
615  0$aMathematical analysis.
615  0$aAnalysis (Mathematics).
615  0$aBiomathematics.
615  0$aIntegral equations.
615 14$aOrdinary Differential Equations.
615 24$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