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math.AP2023
Multiplicity of endemic equilibria for a diffusive SIS epidemic model with mass-action
Keoni Castellano, Rachidi B. Salako
We study a diffusive SIS epidemic model with the mass-action transmission mechanism and show, under appropriate assumptions on the parameters, the existence of multiple endemic equ…
math.AP2021
Remarks on the preservation and breaking of translational symmetry for a class of ODEs
Edward Huynh, Keoni Castellano
In this paper, we provide both a preservation and breaking of symmetry theorem for -periodic problems of the form \begin{align*} \begin{cases} -u''(t) + g(u(t)) = f(t)\cr u(0)…