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math.AP2019★ 7 cited
Fisher-KPP dynamics in diffusive Rosenzweig-MacArthur and Holling-Tanner models
Hong Cai, Anna Ghazaryan, Vahagn Manukian
We prove the existence of traveling fronts in diffusive Rosenzweig-MacArthur and Holling-Tanner population models and investigate their relation with fronts in a scalar Fisher-KPP…
math.AP2017
Spectrum of non-planar traveling waves
Anna Ghazaryan, Yuri Latushkin, Alin Pogan
In this paper we prove that a class of non self-adjoint second order differential operators acting in cylinders have only real discrete s…
math.AP2017
Stability of a planar front in a multidimensional reaction-diffusion system
Anna Ghazaryan, Yuri Latushkin, Xinyao Yang
We study the planar front solution for a class of reaction diffusion equations in multidimensional space in the case when the essential spectrum of the linearization in the directi…