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

• Published in: Physica A Vol. 527; p. 121300
• Main Authors: Xu, Junyan, Zhang, Tonghua, Han, Maoan
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.08.2019
• Subjects: Allee effect; Ergodicity; Positive recurrence; Regime switching; Stochastic model; Survival analysis; Positive recurrence; Survival analysis; Stochastic model; Ergodicity; Regime switching; Allee effect
• ISSN: 0378-4371; 1873-2119
• DOI: 10.1016/j.physa.2019.121300

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...