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author:

Xu, J. (Xu, J..) [1] | Zhang, T. (Zhang, T..) [2] | Han, M. (Han, M..) [3]

Indexed by:

Scopus

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. © 2019 Elsevier B.V.

Keyword:

Allee effect; Ergodicity; Positive recurrence; Regime switching; Stochastic model; Survival analysis

Community:

  • [ 1 ] [Xu, J.]College of Mathematics and Computer Sciences, Fuzhou University, Fuzhou, Fujian, 350002, China
  • [ 2 ] [Zhang, T.]Department of Mathematics, Swinburne University of Technology, Hawthorn, Victoria, 3122, Australia
  • [ 3 ] [Han, M.]Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, China
  • [ 4 ] [Han, M.]Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China

Reprint 's Address:

  • [Han, M.]Department of Mathematics, Zhejiang Normal UniversityChina

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Source :

Physica A: Statistical Mechanics and its Applications

ISSN: 0378-4371

Year: 2019

Volume: 527

2 . 9 2 4

JCR@2019

2 . 8 0 0

JCR@2023

ESI HC Threshold:138

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 9

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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