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.
Highlights
In recent years, the aggravation of environmental pollution affects human life style, and poses a serious threat to the long-term survival of the species
The European Environmental Protection Agency released a new “Health and Environmental Assessment Report” on September 8, 2020, which said that 13 percent of the deaths in 28 European countries are related to environmental pollution
Many workers have adopted a mathematical modeling approach to study the influence of environmental pollution on the survival of biological populations [8,9,10]
Summary
The aggravation of environmental pollution affects human life style, and poses a serious threat to the long-term survival of the species.
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