Invasion analysis for structured populations: analytical principles and numerical workflows

In structured populations, long-term invasion growth when rare can be quantified without dependence on introduction details, using separation of timescales across analytical, matrix, and simulation methods.

• Why it matters: Population structure complicates modeling species interactions, and invasion success must be measured despite transient, introduction-dependent dynamics.
• What they did: The framework computes invasion growth rates by separating fast transient dynamics from long-term outcomes, then derives equivalent long-term growth using analytical timescale separation, matrix population theory, or numerical simulations.
• The result: Case studies across developmental stage, environmental state, and infection status yield simple invasion conditions, and fluctuating residents are handled via simulations or Floquet theory to quantify invasion growth correctly.

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