Maini, P. K. and Malaguti, L. and Marcelli, C. and Matucci, S. (2007) Aggregative movement and front propagation for bi-stable population models. Mathematical Models Methods Applied Sciences, 17 (9). pp. 1351-1368.
Front propagation for the aggregation-diffusion-reaction equation is investigated, where f is a bi-stable reaction-term and D(v) is a diffusion coefficient with changing sign, modeling aggregating-diffusing processes. We provide necessary and sufficient 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.
|Uncontrolled Keywords:||Diffusion-aggregation models; population dynamics; traveling wave solutions; finite speed of propagation|
|Subjects:||A - C > Biology and other natural sciences|
|Research Groups:||Centre for Mathematical Biology|
|Deposited By:||Philip Maini|
|Deposited On:||23 Aug 2007|
|Last Modified:||29 May 2015 18:25|
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