Extinction time in growth models subject to geometric catastrophes

TL;DR

This paper compares different dispersion strategies in population models with geometric catastrophes to determine which prolongs survival under various parameters, including survival probability, growth rate, and spatial constraints.

Contribution

It introduces a framework to evaluate and contrast survival strategies in growth models with geometric catastrophes, considering multiple parameters affecting extinction risk.

Findings

Identifies conditions under which dispersion strategies outperform no dispersion.

Provides insights into optimal strategies based on survival probability and growth rate.

Analyzes the impact of spatial restrictions on population survival strategies.

Abstract

Recently, different dispersion strategies in population models subject to geometric catastrophes have been considered as strategies to improve the chance of po\-pu\-lation's survival. Such dispersion strategies have been contrasted with the strategy where there is no dispersion, comparing the probabilities of survival. In this article, we contrast survival strategies when extinction occurs almost surely, evaluating which strategy prolongs population's life span. Our results allow one to analyze what is the best strategy for survival based on parameters as the probability that each individual exposed to catastrophe survives, the growth rate of the colony, the type of dispersion and the spatial restrictions.