000 05149nam a22005295i 4500
001 978-3-031-40258-6
003 DE-He213
005 20240729140242.0
007 cr nn 008mamaa
008 230929s2023 sz | s |||| 0|eng d
020 _a9783031402586
_9978-3-031-40258-6
024 7 _a10.1007/978-3-031-40258-6
_2doi
072 7 _aPSA
_2bicssc
072 7 _aSCI086000
_2bisacsh
072 7 _aPSA
_2thema
100 1 _aCosta, David G.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 3 _aAn Invitation to Mathematical Biology
250 _a1st ed. 2023.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2023.
300 _aIX, 124 p. 71 illus., 66 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aPreface -- 1 Introduction -- 2 Exponential Growth and Decay -- 2.1 Exponential Growth -- 2.2 Exponential Decay -- 2.3 Summary -- 2.4 Exercises -- 2.5 References- 3 Discrete Time Models -- 3.1 Solutions of the discrete logistic -- 3.2 Enhancements to the Discrete Logistic Function -- 3.3 Summary -- 3.4 Exercises -- 3.5 References- 4 Fixed Points, Stability, and Cobwebbing -- 4.1 Fixed Points and Cobwebbing -- 4.2 Linear Stability Analysis -- 4.3 Summary -- 4.4 Exercises -- 4.5 References- 5 Population Genetics Models -- 5.1 Two Phenotypes Case -- 5.2 Three Phenotypes Case -- 5.3 Summary -- 5.4 Exercises -- 5.5 References- 6 Chaotic Systems -- 6.1 Robert May's Model -- 6.2 Solving the Model -- 6.3 Model Fixed Points -- 6.4 Summary -- 6.5 Exercises -- 6.6 References- 7 Continuous Time Models -- 7.1 The Continuous Logistic Equation -- 7.2 Equilibrium States and their Stability -- 7.3 Continuous Logistic Equation with Harvesting -- 7.4 Summary -- 7.5 Exercises -- 7.6 References- -- 8 Organism-Organism Interaction Models.-8.1 Interaction Models Introduction -- 8.2 Competition -- 8.3 Predator-Prey -- 8.4 Mutualism -- 8.5 Summary -- 8.6 Exercises -- 8.7 References- 9 Host-Parasitoid Models -- 9.1 Beddington Model -- 9.2 Some Solutions of the Beddington Model -- 9.3 MATLAB Solution for the Host-Parasitoid Model -- 9.4 Python Solution for the Host-Parasitoid Model -- 9.5 Summary -- 9.6 Exercises -- 9.7 References- 10 Competition Models with Logistic Term -- 10.1Addition of Logistic Term to Competition Models -- 10.2 Predator-Prey-Prey Three Species Model -- 10.3Predator-Prey-Prey Model Solutions -- 10.4 Summary -- 10.5Exercises -- 10.6References- 11 Infectious Disease Models -- 11.1 Basic Compartment Modeling Approaches -- 11.2SI Model -- 11.3SI model with Growth in S -- 11.4 Applications using Mathematica -- 11.5 Applications using MATLAB -- 11.6 Summary -- 11.7 Exercises -- 11.8 References- 12 Organism Environment Interactions -- 12.1 Introduction to Energy Budgets -- 12.2 Radiation -- 12.3 Convection -- 12.4 Transpiration -- 12.5 Total Energy Budget -- 12.6 Solving the Budget: Newton's Method for Root Finding -- 12.7 Experimenting with the Leaf Energy Budget -- 12.8 Summary -- 12.9 Exercises -- 12.10 References- 13 Appendix 1: Brief Review of Differential Equations in Calculus- 14 Appendix 2: Numerical Solutions of ODEs- 15 Appendix 3: Tutorial on Mathematica- 16 Appendix 4: Tutorial on MATLAB- 17 Appendix 5: Tutorial on Python Programming- Index.
520 _aThe textbook is designed to provide a "non-intimidating" entry to the field of mathematical biology. It is also useful for those wishing to teach an introductory course. Although there are many good mathematical biology texts available, most books are too advanced mathematically for most biology majors. Unlike undergraduate math majors, most biology major students possess a limited math background. Given that computational biology is a rapidly expanding field, more students should be encouraged to familiarize themselves with this powerful approach to understand complex biological phenomena. Ultimately, our goal with this undergraduate textbook is to provide an introduction to the interdisciplinary field of mathematical biology in a way that does not overly terrify an undergraduate biology major, thereby fostering a greater appreciation for the role of mathematics in biology.
650 0 _aBiology.
_95385
650 0 _aMedical sciences.
650 0 _aBioinformatics.
650 0 _aBiomathematics.
650 0 _aPopulation genetics.
650 0 _aSystem theory.
650 1 4 _aBiological Sciences.
650 2 4 _aHealth Sciences.
650 2 4 _aComputational and Systems Biology.
650 2 4 _aMathematical and Computational Biology.
650 2 4 _aPopulation Genetics.
650 2 4 _aComplex Systems.
700 1 _aSchulte, Paul J.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
856 _u#gotoholdings
_yAccess resource
912 _aZDB-2-SBL
912 _aZDB-2-SXB
245 _h[E-Book]
999 _c103741
_d103741