MiS Preprint Repository

This paper studies the stability of a family of post-fertilization traveling waves on eggs proposed by Lane et. al, consisting of an elastic deformation pulse on the egg's surface, and a calcium concentration profile. The family is indexed by a coupling parameter $ϵ>0$ that measures the contraction stress effects on the egg's surface. It is shown that the corresponding family of Evans functions for $ϵ>0$ converges uniformly to the non-vanishing Evans function of the decoupled waves when $ϵ=0$, proving spectral stability.