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Psychological effect on single-species population models in a polluted environment
1College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, PR China; Department of Mathematics and Statistics, University of Helsinki, FI-00014, Helsinki, Finland.
Abstract:
We formulate and investigate the psychological effect of single-species population models in a polluted environment in this paper. For the deterministic single-species population model, the conditions that guarantee the local extinction and persistence in the mean are derived firstly. We then show that, around the pollution-free equilibrium, the stochastic single-species population is weakly persistent in the mean, and is stochastically permanent under some conditions. As a consequence, some numerical simulations demonstrate the efficiency of the main results.
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