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

Abstract

Abstract In 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.

Keywords

• Stage-structured population model
• Transient and nontransient impulsive effects
• Polluted environment
• Permanence