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Multistability bifurcation analysis and transmission pathways for the dynamics of the infectious disease-cholera model with microbial expansion inducing the Allee effect in terms of Guassian noise and crossover effects

Crossref DOI link: https://doi.org/10.1038/s41598-025-89286-5

Published Online: 2025-04-28

Update policy: https://doi.org/10.1007/springer_crossmark_policy

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