Table of Contents
Predator-Prey Dynamics for Rabbits, Trees, & Romance
PPT Slide
Rabbit Dynamics
Exponential Growth
Logistic Differential Equation
Effect of Predators
Lotka-Volterra Equations
Types of Interactions
Equilibrium Solutions
Stable Focus (Predator-Prey)
Stable Saddle-Node (Competition)
Coexistence
Reaction-Diffusion Model
Typical Results
Alternate Spatial Lotka-Volterra Equations
Parameters of the Model
Features of the Model
Typical Results
Typical Results
Typical Results
Dominant Species
Fluctuations in Cluster Probability
Power Spectrum of Cluster Probability
Fluctuations in Total Biomass
Power Spectrum of Total Biomass
Sensitivity to Initial Conditions
Results
Romance (Romeo and Juliet)
Romantic Styles
Pairings - Stable Mutual Love
Love Triangles
Summary
References
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Author: Clint Sprott
Email: [email protected]
Home Page: http://sprott.physics.wisc.edu/
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