## Problem 259 — rank:43

**Title:** Eradicating Epstein–Barr-virus-associated cancers

**Added binding assumptions (LaTeX):**

```latex
Literal finite-time lineage extinction requires an integer-valued stochastic model or an explicit absorbing extinction state, not merely a positive compartment density tending toward zero. Specify the policy after $\tau$ and all reservoirs capable of reseeding malignancy. Persistent positive reseeding can make an infinite-horizon recurrence probability one. Distinguish the stated forever-after guarantee from a finite follow-up endpoint, and permit a proof of infeasibility within the fitted model.
```

**Direct edits:** 0. **Fresh external checks:** None; supplied sources retained as provenance.