Spatial dynamics of a lattice population model with two age classes and maturation delay

Shi Liang Wu, Peixuan Weng, Shigui Ruan

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

This paper is concerned with the spatial dynamics of a monostable delayed age-structured population model in a 2D lattice strip. When there exists no positive equilibrium, we prove the global attractivity of the zero equilibrium. Otherwise, we give some sufficient conditions to guarantee the global attractivity of the unique positive equilibrium by establishing a series of comparison arguments. Furthermore, when those conditions do not hold, we show that the system is uniformly persistent. Finally, the spreading speed, including the upward convergence, is established for the model without the monotonicity of the growth function. The linear determinacy of the spreading speed and its coincidence with the minimal wave speed are also proved.

Original languageEnglish (US)
Pages (from-to)61-91
Number of pages31
JournalEuropean Journal of Applied Mathematics
Volume26
Issue number1
DOIs
StatePublished - Feb 3 2015

Fingerprint

Population Model
Lattice Model
Spreading Speed
Global Attractivity
Age-structured Population
Age-structured Model
Growth Function
Determinacy
Wave Speed
Coincidence
Strip
Monotonicity
Series
Sufficient Conditions
Zero
Class
Model

Keywords

  • Global attractivity
  • Linear determinacy
  • Population model in 2D lattice strip
  • Spreading speed
  • Travelling waves

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Spatial dynamics of a lattice population model with two age classes and maturation delay. / Wu, Shi Liang; Weng, Peixuan; Ruan, Shigui.

In: European Journal of Applied Mathematics, Vol. 26, No. 1, 03.02.2015, p. 61-91.

Research output: Contribution to journalArticle

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