Front propagation for aggregation-diffusion-reaction equationsis investigated, with a bistable reaction-term and a diffusion coeffcient with changing sign, modeling aggregating-diffusing processes. We provide necessary and suffcient conditions for the existence of traveling wave solutions and classify them according to how or if they attain their equilibria at finite times. We also show that the dynamics can exhibit the phenomena of finite speed of propagation and/or finite speed of saturation.
Aggregative movement and front propagation for bistable population models / P. K., Maini; Malaguti, Luisa; C., Marcelli; S., Matucci. - In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. - ISSN 0218-2025. - STAMPA. - 17:9(2007), pp. 1351-1368. [10.1142/S0218202507002303]
Aggregative movement and front propagation for bistable population models
MALAGUTI, Luisa;
2007
Abstract
Front propagation for aggregation-diffusion-reaction equationsis investigated, with a bistable reaction-term and a diffusion coeffcient with changing sign, modeling aggregating-diffusing processes. We provide necessary and suffcient conditions for the existence of traveling wave solutions and classify them according to how or if they attain their equilibria at finite times. We also show that the dynamics can exhibit the phenomena of finite speed of propagation and/or finite speed of saturation.
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