Journal
MATHEMATICAL AND COMPUTER MODELLING
Volume 54, Issue 9-10, Pages 2139-2154Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2011.05.023
Keywords
Logistic model; White noise; Markovian chain; Persistence; Extinction; Global attractivity
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Funding
- NNSF of PR China [10701020, 10971022, 11001032]
- NNSF of Shandong Province [ZR2010AQ021]
- Key Project of Science and Technology of Weihai [2010-3-96]
- Natural Scientific Research Innovation Foundation in Harbin Institute of Technology [HIT.NSRIF.201016]
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Taking both white noise and colored environmental noise into account, a general stochastic logistic model under regime switching is proposed and studied. Sufficient conditions for extinction, nonpersistence in the mean, weak persistence, stochastic permanence and global attractivity are established. The critical number between weak persistence and extinction is obtained. Moreover, some simulation figures are introduced to illustrate the main results. (C) 2011 Elsevier Ltd. All rights reserved.
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