Dynamics of a new stage-structured population model with transient and nontransient impulsive effects in a polluted environment

Author:

Quan Qi,Tang Wenyan,Jiao JianjunORCID,Wang Yuan

Abstract

AbstractIn this paper, we consider a new stage-structured population model with transient and nontransient impulsive effects in a polluted environment. By using the theories of impulsive differential equations, we obtain the globally asymptotically stable condition of a population-extinction solution; we also present the permanent condition for the investigated system. The results indicate that the nontransient and transient impulsive harvesting rate play important roles in system permanence. Finally, numerical analyses are carried out to illustrate the results. Our results provide effective methods for biological resource management in a polluted environment.

Funder

National Natural Science Foundation of China

Graduate education innovation program of Guizhou Province

the Science Technology Foundation of Guizhou Province

the Project of High Level Creative Talents in Guizhou Province

Major Research Projects on Innovative Groups in Guizhou Provincial Education Department

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference21 articles.

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