7 citations · 8 across the 4 of their papers we have counts for
6 papers
Traveling wave solutions in a model for social outbursts in a tension-inhibitive regime
Marzieh Bakhshi, Anna Ghazaryan, Vahagn Manukian +1
In this work we investigate the existence of non-monotone traveling wave solutions to a reaction-diffusion system modeling social outbursts, such as rioting activity, originally pr…
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…
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…
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…
Combustion waves in hydraulically resistant porous media in a special parameter regime
Anna Ghazaryan, Stephane Lafortune, Peter McLarnan
In this paper we study the stability of fronts in a reduction of a well-known PDE system that is used to model the combustion in hydraulically resistant porous media. More precisel…
Stability analysis for combustion fronts traveling in hydraulically resistant porous media
Anna Ghazaryan, Stephane Lafortune, Peter McLarnan
We study front solutions of a system that models combustion in highly hydraulically resistant porous media. The spectral stability of the fronts is tackled by a combination of ener…