Affiliation:
1. Department of Mathematics Northeast Forestry University Harbin Heilongjiang China
2. Engineering Research Center of Agricultural Microbiology Technology, Ministry of Education & Heilongjiang Provincial Key Laboratory of Ecological Restoration and Resource Utilization for Cold Region & School of Mathematical Science Heilongjiang University Harbin Heilongjiang China
Abstract
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.
Funder
Fundamental Research Funds for the Central Universities
National Natural Science Foundation of China
Natural Science Foundation of Heilongjiang Province