| Autor: |
Zhang, Xinhong, Yang, Qing |
| Předmět: |
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| Zdroj: |
Discrete & Continuous Dynamical Systems - Series B; Jun2022, Vol. 27 Issue 6, p3155-3175, 21p |
| Abstrakt: |
In this paper, we consider a stochastic predator-prey model with general functional response, which is perturbed by nonlinear Lévy jumps. Firstly, We show that this model has a unique global positive solution with uniform boundedness of θ ∈ (0 , 1 ] θ ∈ (0 , 1 ] -th moment. Secondly, we obtain the threshold for extinction and exponential ergodicity of the one-dimensional Logistic system with nonlinear perturbations. Then based on the results of Logistic system, we introduce a new technique to study the ergodic stationary distribution for the stochastic predator-prey model with general functional response and nonlinear jump-diffusion, and derive the sufficient and almost necessary condition for extinction and ergodicity. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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