Dynamical analysis of an impulsive stochastic infected predator-prey system with BD functional response and modified saturated incidence

This paper formulates and explores a nonautonomous impulsive stochastic predator-prey system with Beddington-DeAngelis (BD) functional response, where only the prey has a disease, which incorporates modified saturated incidence. The sufficient criteria of extinction and non-persistence in the mean o...

Full description

Saved in:
Bibliographic Details
Published in:Journal of applied mathematics & computing 2022-12, Vol.68 (6), p.4075-4098
Main Authors: Wei, Hongrui, He, Xianping, Li, Yong
Format: Article
Language:English
Subjects:
Applied mathematics
Computational Mathematics and Numerical Analysis
Mathematical and Computational Engineering
Mathematical models
Mathematics
Mathematics and Statistics
Mathematics of Computing
Original Research
Perturbation
Predator-prey simulation
Predators
Theory of Computation
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper formulates and explores a nonautonomous impulsive stochastic predator-prey system with Beddington-DeAngelis (BD) functional response, where only the prey has a disease, which incorporates modified saturated incidence. The sufficient criteria of extinction and non-persistence in the mean of the target model are established, revealing that different intensities of stochastic perturbations contribute to dynamics of the system mentioned above. Stochastically ultimate boundedness is examined, and we further establish sufficient conditions for global attractivity. Our analytical findings are verified through numerical simulations.
ISSN:1598-5865
1865-2085
DOI:10.1007/s12190-021-01678-8