Math @ Duke

Publications [#338507] of Eric A. Autry
Papers Published
 Autry, EA; Bayliss, A; Volpert, VA, Traveling waves in a nonlocal, piecewise linear reactiondiffusion population model,
Nonlinearity, vol. 30 no. 8
(July, 2017),
pp. 33043331 [doi]
(last updated on 2019/05/19)
Abstract: © 2017 IOP Publishing Ltd & London Mathematical Society. We consider an analytically tractable switching model that is a simplification of a nonlocal, nonlinear reactiondiffusion model of population growth where we take the source term to be piecewise linear. The form of this source term allows us to consider both the monostable and bistable versions of the problem. By transforming to a traveling frame and choosing specific kernel functions, we are able to reduce the problem to a system of algebraic equations. We construct solutions and examine the propagation speed and monotonicity of the resulting waves.


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