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Effects of toxicants on a stage-structured population growth model. (English) Zbl 1017.92044

Summary: A stage-structured model of population growth in a polluted environment is proposed. The main purpose of this paper is to study the effect of stage structure on population growth in a polluted environment. Some sufficient conditions on permanence and extinction of the population have been obtained, and it is shown that the number of population changes periodically under appropriate assumptions.

MSC:

92D40 Ecology
34C60 Qualitative investigation and simulation of ordinary differential equation models
34C25 Periodic solutions to ordinary differential equations
34D05 Asymptotic properties of solutions to ordinary differential equations
34D23 Global stability of solutions to ordinary differential equations
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