Bistable waves of a recursive system arising from seasonal age-structured population models

Yingli Pan; Ying Su; Junjie Wei

doi:10.3934/dcdsb.2018184

Article Contents

2019, Volume 24, Issue 2: 511-528. Doi: 10.3934/dcdsb.2018184

This issue Previous Article Spatiotemporal attractors generated by the Turing-Hopf bifurcation in a time-delayed reaction-diffusion system Next Article The regularity of pullback attractor for a non-autonomous p-Laplacian equation with dynamical boundary condition

Bistable waves of a recursive system arising from seasonal age-structured population models

1.
Department of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang 150001, China
2.
Department of Mathematics, Harbin Institute of Technology Weihai, Weihai, Shandong 264209, China

* Corresponding author
* Corresponding author

Received: November 30, 2017

Revised: December 31, 2017

Early access: May 2018

Published: January 2019

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Abstract

This paper is devoted to the existence, uniqueness and stability of bistable traveling waves for a recursive system, which is defined by the iterations of the Ponicaré map of a yearly periodic age-structured population model derived in the companion paper [8]. The existence of the wave is established by appealing to a monotone dynamical system theory, and the uniqueness and stability are obtained by employing a squeezing method.

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Mathematics Subject Classification: Primary: 39A30; Secondary: 92D25, 45P05, 45M10.

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