Takens–Bogdanov singularity for age structured models

Zhihua Liu; Rong Yuan

doi:10.3934/dcdsb.2019201

Article Contents

2020, Volume 25, Issue 6: 2041-2056. Doi: 10.3934/dcdsb.2019201

This issue Previous Article Poxvirus, red and grey squirrel dynamics: Is the recovery of a common predator affecting system equilibria? Insights from a predator-prey ecoepidemic model Next Article A two-group age of infection epidemic model with periodic behavioral changes

Takens–Bogdanov singularity for age structured models

Zhihua Liu and
Rong Yuan

School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China

Received: January 2019

Revised: March 2019

Early access: September 2019

Published: June 2020

Research was partially supported by NSFC, the Fundamental Research Funds for the Central Universities, and Laboratory of Mathematics and Complex Systems, Ministry of Education

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Abstract

The main purpose of this article is to derive a easily feasible method for the determination of Takens–Bogdanov singularity in age structured models. We present a SIR epidemic model with age structure as an example to illustrate the theoretical results.

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Mathematics Subject Classification: 34K18, 35K90, 37L10, 37G10.

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