Stationary moments, diffusion limits, and extinction times for logistic growth with random catastrophes
نویسندگان
چکیده
منابع مشابه
Stationary moments, diffusion limits, and extinction times for logistic growth with random catastrophes
A variety of organisms, from arctic reindeer to gastrointestinal bacteria, face stochastic environmental fluctuations that result in population catastrophes. Understanding the statistics of growthcatastrophe processes is a particularly relevant problem at present, due for example to expected increases in environmental volatility as a consequence of climate change and to growing interest in appl...
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We investigate the statistics of extinction times for an isolated population, with an initially modest number M of individuals, whose dynamics are controlled by a stochastic logistic process (SLP). The coefficient of variation in the extinction time V is found to have a maximum value when the death and birth rates are close in value. For large habitat size K we find that Vmax is of order K1/4 /...
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ژورنال
عنوان ژورنال: Journal of Theoretical Biology
سال: 2018
ISSN: 0022-5193
DOI: 10.1016/j.jtbi.2018.06.007