Mutant Invasion Probability

In age-structured models, the mutant extinction probability generally lacks an explicit closed form. In non-age-structured models, the invasion probability reduces to a classical explicit fitness term. The extinction probability is defined…

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In age-structured models, the mutant extinction probability generally lacks an explicit closed form. In non-age-structured models, the invasion probability reduces to a classical explicit fitness term. The extinction probability is defined by a linear age-structured birth-death process for a rare mutant in a resident equilibrium. Nontrivial invasion occurs when the mutant's age-dependent reproduction-survival integral exceeds 1. Fitness is often not explicitly computable, requiring numerical solution for extinction probabilities.