Persistence and extinction of a stochastic single-specie model under regime switching in a polluted environment.
A new single-species model disturbed by both white noise and colored noise in a polluted environment is developed and analyzed. Sufficient criteria for extinction, stochastic nonpersistence in the mean, stochastic weak persistence in the mean, stochastic strong persistence in the mean and stochastic permanence of the species are established. The threshold between stochastic weak persistence in the mean and extinction is obtained. The results show that both white and colored environmental noises have sufficient effect to the survival results.
Liu
Meng
M
Department of Mathematics, Harbin Institute of Technology, Weihai 264209, PR China. liumeng0557@sina.com
Wang
Ke
K
D000465:Algorithms; D000818:Animals; D003198:Computer Simulation; D003247:Conservation of Natural Resources / Q000706:statistics & numerical data*; D017753:Ecosystem; D004787:Environmental Pollution / Q000706:statistics & numerical data*; D053476:Extinction, Biological; D006801:Humans; D008390:Markov Chains; D008962:Models, Theoretical; D011157:Population Dynamics; D013045:Species Specificity; D013269:Stochastic Processes