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Analysis reveals global positive solutions in a stochastic population model, indicating stability with Lévy noise.
In this article, we develop a new age-structured stochastic delayed toxicant-population model with Lévy noise. Some novel criteria for the existence of a global positive solution and the mean square h-stability of the addressed model are given. The key technique used to prove the results is the Lyapunov functional approach and Itô's formula. Finally, two numerical examples are provided to illustrate the effectiveness of our criteria.
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Du et al. (2026) studied this question.
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