2008/08/15 by Niraj Kumar, Marcelo N. Kuperman, M. N. Kuperman +4
Biochemistry, Genetics and Molecular Biology · Medicine · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Evolution and Genetic Dynamics #FOS: Physical sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Viral Infections and Vectors #nlin.AO
paper · pdf · doi:10.48550/arxiv.0808.2170
4 figure
arxiv created 2008/08/15 · openalex publication_date 2008/08/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.