On Random Population Growth Punctuated by Geometric Catastrophic Events

Authors

  • Thierry E. Huillet Laboratory of Physics; Theory and Models, CY Cergy Paris University, CNRS UMR-8089, 2 avenue Adolphe-Chauvin, 95302 Cergy-Pontoise, France

DOI:

https://doi.org/10.37256/cm.152020600

Keywords:

Markov chain, random population growth, geometric catastrophic events, recurrence/transience transition, height and length of excursions, extinction events, time to extinction, large deviations

Abstract

Catastrophe Markov chain population models have received a lot of attention in the recent past. Besides systematic random immigration events promoting growth, we study a particular case of populations simultaneously subject to the effect of geometric catastrophes that causes recurrent mass removal. We describe the subtle balance between the two such contradictory effects.

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Published

2020-12-03

How to Cite

1.
E. Huillet T. On Random Population Growth Punctuated by Geometric Catastrophic Events. Contemp. Math. [Internet]. 2020 Dec. 3 [cited 2024 Mar. 29];1(5):423-36. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/600