Modelling and analysis of a single-species system with stage structure and harvesting

Authors:
Xinyu Song;Lansun Chen
Affiliations:
Department of Mathematics, Xinyang Teachers College Henan 464000, P.R. China and Institute of Mathematics, Academy of Mathematics and System Sciences Chinese Academy of Sciences, Beijing 100080, P ...;Institute of Mathematics, Academy of Mathematics and System Sciences Chinese Academy of Sciences, Beijing 100080, P.R. China
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2002

Citing 4
Cited 5

Persistence in infinite-dimensional systems

SIAM Journal on Mathematical Analysis
Analysis of a model representing stage-structured population growth with state-dependent time delay

SIAM Journal on Applied Mathematics
The effects of state-dependent time delay on a stage-structured population growth model

Nonlinear Analysis: Theory, Methods & Applications
A model for the growth of a population exhibiting stage structure: cannibalism and cooperation

Journal of Computational and Applied Mathematics - Special issue: Oscillations in nonlinear systems: applications and numerical aspects

Periodic solutions of a nonautonomous predator-prey system with stage structure and time delays

Journal of Computational and Applied Mathematics
Permanence and periodicity of a delayed ratio-dependent predator-prey model with Holling type functional response and stage structure

Journal of Computational and Applied Mathematics
Dynamic behavior in a delayed bioeconomic model with stochastic fluctuations

LSMS/ICSEE'10 Proceedings of the 2010 international conference on Life system modeling and simulation and intelligent computing, and 2010 international conference on Intelligent computing for sustainable energy and environment: Part II
Periodic solutions for a delayed predator-prey system with stage-structured predator on time scales

Computers & Mathematics with Applications
Recent progress on stage-structured population dynamics

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.98

Visualization

Abstract

This paper studies the asymptotic behavior of a single-species model with stage structure and harvesting. For the constant, variable, and periodic harvesting effort, we obtain conditions for the global stability of the equilibria, permanence of the system and global attractivity of the periodic solution, respectively.