Title
Threshold dynamics of a stage-structured single population model with non-transient and transient impulsive effects
Abstract
In this paper, we present a stage-structured single population model with non-transient and transient impulsive effects. By the stroboscopic map theories of impulsive differential equations, we obtain the sufficient conditions for the permanence of the investigated system. The results indicate that the thresholds of the transient impulsive harvesting amount and the non-transient impulsive harvesting interval play important roles on the permanence of population. Our results also provide reliable tactic basis for the practical biological resource management.
Year
DOI
Venue
2019
10.1016/j.aml.2019.05.024
Applied Mathematics Letters
Keywords
Field
DocType
Stage-structured single population,Transient impulsive harvesting,Non-transient impulsive harvesting interval,Birth pulse,Permanence
Resource management,Differential equation,Population,Mathematical optimization,Control theory,Population model,Mathematics
Journal
Volume
ISSN
Citations 
97
0893-9659
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Jianjun Jiao18315.85
Zuozhi Liu200.34
Limei Li300.34
Xingyi Nie400.34