Global dynamics of a nonlocal population model with stage structure in an unbounded domain

ABSTRACT

In this paper, we consider a nonlocal population model with stage structure in an unbounded domain. Using a fluctuation method and the compact open topology, a threshold dynamics and global attractivity of positive steady state are established. And the main results extend the related existing studies on the nonlocal population model.

KEYWORDS:

• Nonlocal and delayed model
• global dynamics
• unbounded domain
• fluctuation method
• compact open topology

AMS SUBJECT CLASSIFICATIONS:

• 34D23
• 35R10
• 45M20
• 92D25

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

Research was partially supported by National Natural Science Foundation of China [grant number 11561068]; China Postdoctoral Science Foundation [grant number 2016M592442].