A regime switching model for species subject to environmental noises and additive Allee effect

Junyan Xu, Tonghua Zhang and Maoan Han

Physica A: Statistical Mechanics and its Applications, 2019, vol. 527, issue C

Abstract: Taking into account the environmental noises and Allee effect, we develop a regime switching model for a single species, and then we consider dynamics of species population, such as persistence, ergodicity and global attractivity. More precisely, firstly we prove the global existence of the positive solution, and then study the extinction of species, non-persistence in mean, persistence in mean and stochastic permanence. It is followed by the study of positive recurrence, ergodicity and the global attractivity. Finally, we conclude our study by a numerical example and discussions.

Keywords: Survival analysis; Positive recurrence; Stochastic model; Regime switching; Ergodicity; Allee effect (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:527:y:2019:i:c:s0378437119307599

DOI: 10.1016/j.physa.2019.121300

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