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Table of Contents
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 Mays 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: Newtons 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.
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 Mays 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: Newtons 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.