Invitation to Mathematical Biology
portes grátis
Invitation to Mathematical Biology
Costa, David G; Schulte, Paul J
Springer International Publishing AG
10/2024
124
Mole
9783031402609
15 a 20 dias
Descrição não disponível.
Preface.- 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
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Mathematical modeling;Computational;Numerical;Differential equation;Biological systems;MATLAB
Preface.- 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
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