Metapopulation on patch network — Levins model with rescue effect
Parameters
Occupied patches—
Fraction occupied—
Equilibrium p*—
StatusRunning
Levins metapopulation:
dp/dt = c_m·p·(1−p) − e·p
Equilibrium: p* = 1 − e/c_m
Rescue effect: immigration reduces local extinction. Fragmentation reduces connectivity → more extinctions. SLOSS debate: few large vs many small patches.