10 citations · 18 across the 5 of their papers we have counts for
6 papers
Regime dependent infection propagation fronts in an SIS model
Anna Ghazaryan, Vahagn Manukian, Jonathan Waldmann +1
We show the existence of traveling front solutions in a diffusive classical SIS epidemic model and the SIS model with a saturating incidence in the size of the susceptible populati…
Stability of fronts in the diffusive Rosenzweig-MacArthur model
Anna Ghazaryan, Stéphane Lafortune, Yuri Latushkin +1
We consider a diffusive Rosenzweig-MacArthur predator-prey model in the situation when the prey diffuses at the rate much smaller than that of the predator. In a certain parameter…
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…
Existence of multi-pulses of the regularized short-pulse and Ostrovsky equations
Vahagn Manukian, Nick Costanzino, Christopher K. R. T. Jones +1
The existence of multi-pulse solutions near orbit-flip bifurcations of a primary single-humped pulse is shown in reversible, conservative, singularly perturbed vector fields. Simil…
Solitary waves of the regularized short pulse and Ostrovsky equations
N. Costanzino, V. Manukian, C. K. R. T. Jones
We derive a model for the propagation of short pulses in nonlinear media. The model is a higher order regularization of the short pulse equation (SPE). The regularization term aris…