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LEADER: 03657pam a22003614a 4500
001 4118668
005 20221027041125.0
008 021107t20032003njua b 001 0 eng
010 $a 2002192472
020 $a0691092907 (cl : alk. paper)
020 $a0691092915 (pbk. : alk. paper)
035 $a(OCoLC)ocm51022777
035 $a(NNC)4118668
035 $a4118668
040 $aDLC$cDLC$dYDX$dOrLoB-B
042 $apcc
050 00 $aQH352$b.T45 2003
082 00 $a577.8/8/015118$221
100 1 $aThieme, Horst R.,$d1948-$0http://id.loc.gov/authorities/names/n2002158208
245 10 $aMathematics in population biology /$cHorst R. Thieme.
260 $aPrinceton :$bPrinceton University Press,$c[2003], ©2003.
300 $axviii, 543 pages :$billustrations ;$c24 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aPrinceton series in theoretical and computational biology
504 $aIncludes bibliographical references (p. [519]-536) and index.
505 00 $gCh. 1.$tSome General Remarks on Mathematical Modeling -- $gPt. 1.$tBasic Population Growth Models -- $gCh. 2.$tBirth, Death, and Migration -- $gCh. 3.$tUnconstrained Population Growth for Single Species -- $gCh. 4.$tVon Bertalanffy Growth of Body Size -- $gCh. 5.$tClassic Models of Density-Dependent Population Growth for Single Species -- $gCh. 6.$tSigmoid Growth -- $gCh. 7.$tThe Allee Effect -- $gCh. 8.$tNonautonomous Population Growth: Asymptotic Equality of Population Sizes -- $gCh. 9.$tDiscrete-Time Single-Species Models -- $gCh. 10.$tDynamics of an Aquatic Population Interacting with a Polluted Environment -- $gCh. 11.$tPopulation Growth Under Basic Stage Structure -- $gPt. 2.$tStage Transitions and Demographics -- $gCh. 12.$tThe Transition Through a Stage -- $gCh. 13.$tStage Dynamics with Given Input -- $gCh. 14.$tDemographics in an Unlimiting Constant Environment -- $gCh. 15.$tSome Demographic Lessons from Balanced Exponential Growth -- $gCh. 16.$tSome Nonlinear Demographics -- $gPt. 3.$tHost-Parasite Population Growth: Epidemiology of Infectious Diseases -- $gCh. 17.$tBackground -- $gCh. 18.$tThe Simplified Kermack-McKendrick Epidemic Model -- $gCh. 19.$tGeneralization of the Mass-Action Law of Infection -- $gCh. 20.$tThe Kermack-McKendrick Epidemic Model with Variable Infectivity -- $gCh. 21.$tSEIR ([approaches]S) Type Endemic Models for "Childhood Diseases" -- $gCh. 22.$tAge-Structured Models for Endemic Diseases and Optimal Vaccination Strategies -- $gCh. 23.$tEndemic Models with Multiple Groups or Populations -- $gPt. 4.$tToolbox -- $gApp. A.$tOrdinary Differential Equations -- $gApp. B.$tIntegration, Integral Equations, and Some Convex Analysis -- $gApp. C.$tSome MAPLE Worksheets with Comments for Part 1.
520 1 $a"The formulation, analysis, and re-evaluation of mathematical models in population biology has become a valuable source of insight to mathematicians and biologists alike. This book presents an overview and selected sample of these results and ideas, organized by biological theme rather than mathematical concept, with an emphasis on helping the reader develop appropriate modeling skills through use of well-chosen and varied examples."--BOOK JACKET.
650 0 $aPopulation biology$xMathematical models.$0http://id.loc.gov/authorities/subjects/sh2008109858
650 0 $aCommunicable diseases$xMathematical models.
830 0 $aPrinceton series in theoretical and computational biology.$0http://id.loc.gov/authorities/names/n2002158209
856 42 $3Publisher description$uhttp://www.loc.gov/catdir/description/prin031/2002192472.html
852 00 $boff,sci$hQH352$i.T45 2003