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Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series S Année : 2020

Dynamics of solutions of a reaction-diffusion equation with delayed inhibition

Résumé

Reaction-diffusion equation with a logistic production term and a delayed inhibition term is studied. Global stability of the homogeneous in space equilibrium is proved under some conditions on the delay term. In the case where these conditions are not satisfied, this solution can become unstable resulting in the emergence of spatiotemporal pattern formation studied in numerical simulations.

Dates et versions

hal-03027194 , version 1 (27-11-2020)

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Tarik Mohammed Touaoula, Mohammed Nor Frioui, Nikolay Bessonov, Vitaly Volpert. Dynamics of solutions of a reaction-diffusion equation with delayed inhibition. Discrete and Continuous Dynamical Systems - Series S, 2020, 13 (9), pp.2425-2442. ⟨10.3934/dcdss.2020193⟩. ⟨hal-03027194⟩
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