Dynamical behaviors of stochastic eco‐epidemic predator–prey model with Allee effect in prey and Lévy jump

doi:10.1002/mma.9880

Xueqing He, Ming Liu, Xiaofeng Xu

Dynamical behaviors of stochastic eco‐epidemic predator–prey model with Allee effect in prey and Lévy jump

General Engineering
General Mathematics

In this paper, the dynamical behaviors of a stochastic eco‐epidemic predator–prey model with Lévy jump and Allee effect for prey population are investigated. First, the existence and uniqueness of the global positive solution are built. Then, the long‐term behaviors of the prey and predator populations are obtained. Furthermore, we demonstrate the stochastic ultimate boundedness of all species and the ergodic stationary distribution without Lévy jump. Finally, numerical examples are provided to support the theoretical analysis results.

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Dynamical behaviors of stochastic eco‐epidemic predator–prey model with Allee effect in prey and Lévy jump

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Dynamical behaviors of stochastic eco‐epidemic predator–prey model with Allee effect in prey and Lévy jump