Growth Models Under Uniform Catastrophes
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866912884548698112 |
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| author | Amaya, Joan Junior, Valdivino V. Machado, Fábio P. Roldán-Correa, Alejandro |
| author_facet | Amaya, Joan Junior, Valdivino V. Machado, Fábio P. Roldán-Correa, Alejandro |
| contents | We consider stochastic growth models for populations organized in colonies and subject to uniform catastrophes. To assess population viability, we analyze scenarios in which individuals adopt dispersion strategies after catastrophic events. For these models, we derive explicit expressions for the survival probability and the mean time to extinction, both with and without spatial constraints. In addition, we complement this analysis by comparing uniform catastrophes with binomial and geometric catastrophes in models with dispersion and no spatial restrictions. Here, the terms uniform, binomial and geometric refer to the probability distributions governing the number of individuals that survive immediately after a catastrophe. This comparison allows us to quantify the impact of different types of catastrophic events on population persistence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_06649 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Growth Models Under Uniform Catastrophes Amaya, Joan Junior, Valdivino V. Machado, Fábio P. Roldán-Correa, Alejandro Probability Populations and Evolution 60J80, 60J85, 92D25 We consider stochastic growth models for populations organized in colonies and subject to uniform catastrophes. To assess population viability, we analyze scenarios in which individuals adopt dispersion strategies after catastrophic events. For these models, we derive explicit expressions for the survival probability and the mean time to extinction, both with and without spatial constraints. In addition, we complement this analysis by comparing uniform catastrophes with binomial and geometric catastrophes in models with dispersion and no spatial restrictions. Here, the terms uniform, binomial and geometric refer to the probability distributions governing the number of individuals that survive immediately after a catastrophe. This comparison allows us to quantify the impact of different types of catastrophic events on population persistence. |
| title | Growth Models Under Uniform Catastrophes |
| topic | Probability Populations and Evolution 60J80, 60J85, 92D25 |
| url | https://arxiv.org/abs/2602.06649 |