圖書信息
生物數學引論作者：（美）尼古拉斯著
出版社：清華大學出版社
生物數學引論出版時間：2009-11-1
開本：16開
ISBN：9787302214892
定價：￥46.00
內容簡介
生物數學在套用數學中占有日益重要的地位，數學系培養的學生至少一部分人應當對這個領域有所了解。本書由淺入深講述生物數學基礎理論，從最經典的問題入手，最後走向學科前沿和近年的熱點問題；內容先進，講述方法科學，簡潔明了，易讀性好。適合用作數學及生命科學專業高年級本科生相關課程教材或參考書。目錄
ContentsListofFigures
1.SingleSpeciesPopulationDynamics
1.1Introduction
1.2LinearandNonlinearFirstOrderDiscreteTimeModels.
1.2.1TheBiologyofInsectPopulationDynamics
1.2.2AModelforInsectPopulationDynamicswithCompetition
1.3Differential-EquationModels
1.4EvolutionaryAspects
1.5HarvestingandFisheries
1.6Metapopulations
1.7DelayEffects
1.8 Fibonacci's-Rabbits
1.9LeslieMatrices:Age-structuredPopulationsinDiscreteTime
110Euler-LotkaEquations
1.10.1DiscreteTime
1.10.2ContinuousTime
1.11TheMcKendrickApproachtoAgeStructure
112Conclusions
2.PopulationDynamicsofInteractingSpecies
2.1Introduction
22Host-parasitoidInteractions
2.3TheLotka-VolterraPrey-predatorEquations
2.4ModellingthePredatorFunctionalResponse
2.5Competition.
2.6EcosystemsModelling
2.7InteractingMetapopulations
2.7.1Competition
2.7.2Predation
2.7.3Predator-mediatedCoexistenceofCompetitors
2.7.4EffectsofHabitatDestruction
2.8Conclusions
3.InfectiousDiseases
3.1Introduction
3.2TheSimpleepidemicandSISDiseases
3.3SIREpidemics
3.4SIREndemics
3.4.1NoDisease-relatedDeath
3.4.2IncludingDisease-relatedDeath
3.5EradicationandControl
3.6Age-structuredPopulations
3.6.1TheEquations
3.6.2SteadyState
3.7Vector-borneDiseases
3.8BasicModelforMacroparasiticDiseases
3.9EvolutionaryAspects
3.10Conclusions
4.PopulationGeneticsandEvolution
4.1Introduction
4.2MendelianGeneticsinPopulationswithNon-overlappingGenerations
4.3SelectionPressure
4.4SelectioninSomeSpecialCases
4.4.1SelectionforaDominantAllele
4.4.2SelectionforarecessiveAllele
4.4.3SelectionagainstDominantandRecessiveAlleles
4.4.4TheAdditiveCase
4.5AnalyticalApproachforWeakSelection
4.6TheBalanceBetweenSelectionandMutation
4.7Wright'sAdaptiveTopography
4.8EvolutionoftheGeneticSystem
4.9GameTheory
4.10ReplicatorDynamics
4.11Conclusions
5.BiologicalMotion
6.MolecularandCellularBiology
7.PatternFormation
8.TumourModelling
FurtherReading
Index
