Analysis of a general stochastic non-autonomous logistic model with delays and Lévy jumps (Q497734)
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scientific article; zbMATH DE number 6485360
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| English | Analysis of a general stochastic non-autonomous logistic model with delays and Lévy jumps |
scientific article; zbMATH DE number 6485360 |
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Analysis of a general stochastic non-autonomous logistic model with delays and Lévy jumps (English)
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25 September 2015
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The population size is modeled by a stochastic logistic differential delay equation with Lévy jumps. Under certain assumptions, it is proved that this equation has a unique global solution that takes on positive values with probability 1. Theorems are also proved that identify conditions under which the population is non-persistent and conditions under which the population is weakly persistent. Simulation results that show the derived population behavior are presented and discussed.
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persistence
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extinction
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Lévy noise
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delays
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Lyapunov functions
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