Theory of possible effects of the Allee phenomenon on refugia of the Hantavirus epidemic
B2 arXiv preprint server (q-bio) · 2008-08-15 · United States
We investigate possible effects of high order nonlinearities on the shapes of infection refugia of the Hantavirus epidemic. We replace Fisher-like equations that have been recently used to describe Hantavirus spread in mouse populations by generalizations capable of describing Allee effects that are a consequence of the high order nonlinearities. We analyze the equations to calculate steady state solutions. We study the stability of those solutions under physical conditions and compare to the earlier Fisher-like case. We consider spatial modulation of the environment and find that unexpected results appear, including a bifurcation that has not been studied before.
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HORIZON metadata
| Source | arXiv preprint server (q-bio) (arxiv) |
|---|---|
| NATO rating | B2 — see methodology |
| Country | United States |
| Reported date | 2008-08-15 |
| Ingested at | 2026-05-12 00:55 UTC |