Shalmali Bandyopadhyay, University of Tennessee Martin
Authors: Ananta Acharya, Amila Muthunayake, Jerome Goddard II, Ratnasingham Shivaji
2023 AWM Research Symposium
Women in Mathematical Biology: Computation and Modeling [Organized by Katharine Gurski and Yeona Kang]

We study a competitive reaction-diffusion population dynamics model with density dependent dispersal on the boundary. To analyze the model using computational methods in one dimension we take positive and negative density dependent dispersals separately. Namely, for positive density dependent dispersal case. We obtain bifurcation curves using the combination of quadrature method and shooting method.

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