Nonlinear Sciences – Adaptation and Self-Organizing Systems
Scientific paper
2008-08-15
Nonlinear Sciences
Adaptation and Self-Organizing Systems
4 figure
Scientific paper
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.
Kenkre V. M.
Kumar Niraj
Kuperman Marcelo N.
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