Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction–diffusion models

doi:10.1016/S0022-0396(03)00175-X

Journal of Differential Equations

Volume 195, Issue 2, 10 December 2003, Pages 430-470

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Abstract

The theory of asymptotic speeds of spread and monotone traveling waves is generalized to a large class of scalar nonlinear integral equations and is applied to some time-delayed reaction and diffusion population models.

MSC

45M20

35R10

35B40

92D25

Keywords

Nonlinear integral equations

Asymptotic speeds of spread

Traveling waves

Minimal wave speeds

Population models

Cited by (0)

¹: Supported in part by NSF Grant DMS-9706787.

²: Supported in part by the NSERC of Canada.