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Predator–Prey Dynamics
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🧬 Biology
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Parameters
Prey growth rate r
Predation rate a
Predator birth rate b
Predator death rate m
Key Concepts
•
dH/dt = rH − aHP
: prey grow exponentially, limited by predation
•
dP/dt = bHP − mP
: predators depend on prey for births, die at rate m
• Populations oscillate: prey peak → predator peak (with time lag)
• Equilibrium: H* = m/b, P* = r/a
• Classic example: Canadian lynx and snowshoe hare (Hudson Bay Company data, ~10-year cycle)
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